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generalized minimum residual (Gl-GMRES).</title> <meta name="description" content="Search results for: global generalized minimum residual (Gl-GMRES)."> <meta name="keywords" content="global generalized minimum residual (Gl-GMRES)."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research 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class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: global generalized minimum residual (Gl-GMRES).</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2668</span> Note to the Global GMRES for Solving the Matrix Equation AXB = F</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Fatemeh%20Panjeh%20Ali%20Beik">Fatemeh Panjeh Ali Beik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In the present work, we propose a new projection method for solving the matrix equation AXB = F. For implementing our new method, generalized forms of block Krylov subspace and global Arnoldi process are presented. The new method can be considered as an extended form of the well-known global generalized minimum residual (Gl-GMRES) method for solving multiple linear systems and it will be called as the extended Gl-GMRES (EGl- GMRES). Some new theoretical results have been established for proposed method by employing Schur complement. Finally, some numerical results are given to illustrate the efficiency of our new method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Matrix%20equation" title="Matrix equation">Matrix equation</a>, <a href="https://publications.waset.org/search?q=Iterative%20method" title=" Iterative method"> Iterative method</a>, <a href="https://publications.waset.org/search?q=linear%20systems" title=" linear systems"> linear systems</a>, <a href="https://publications.waset.org/search?q=block%20Krylov%20subspace%20method" title=" block Krylov subspace method"> block Krylov subspace method</a>, <a href="https://publications.waset.org/search?q=global%20generalized%20minimum%20residual%20%28Gl-GMRES%29." title=" global generalized minimum residual (Gl-GMRES)."> global generalized minimum residual (Gl-GMRES).</a> </p> <a href="https://publications.waset.org/8404/note-to-the-global-gmres-for-solving-the-matrix-equation-axb-f" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8404/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8404/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8404/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8404/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8404/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8404/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8404/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8404/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8404/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8404/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8404.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1839</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2667</span> Bio-Inspired Generalized Global Shape Approach for Writer Identification</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Azah%20Kamilah%20Muda">Azah Kamilah Muda</a>, <a href="https://publications.waset.org/search?q=Siti%20Mariyam%20Shamsuddin"> Siti Mariyam Shamsuddin</a>, <a href="https://publications.waset.org/search?q=Maslina%20Darus"> Maslina Darus</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Writer identification is one of the areas in pattern recognition that attract many researchers to work in, particularly in forensic and biometric application, where the writing style can be used as biometric features for authenticating an identity. The challenging task in writer identification is the extraction of unique features, in which the individualistic of such handwriting styles can be adopted into bio-inspired generalized global shape for writer identification. In this paper, the feasibility of generalized global shape concept of complimentary binding in Artificial Immune System (AIS) for writer identification is explored. An experiment based on the proposed framework has been conducted to proof the validity and feasibility of the proposed approach for off-line writer identification. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Writer%20identification" title="Writer identification">Writer identification</a>, <a href="https://publications.waset.org/search?q=generalized%20global%20shape" title=" generalized global shape"> generalized global shape</a>, <a href="https://publications.waset.org/search?q=individualistic" title="individualistic">individualistic</a>, <a href="https://publications.waset.org/search?q=pattern%20recognition." title=" pattern recognition."> pattern recognition.</a> </p> <a href="https://publications.waset.org/14053/bio-inspired-generalized-global-shape-approach-for-writer-identification" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14053/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14053/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14053/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14053/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14053/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14053/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14053/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14053/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14053/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14053/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14053.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1230</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2666</span> New Feed-Forward/Feedback Generalized Minimum Variance Self-tuning Pole-placement Controller</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.%20A.%20Mohamed">S. A. Mohamed</a>, <a href="https://publications.waset.org/search?q=A.%20S.%20Zayed"> A. S. Zayed</a>, <a href="https://publications.waset.org/search?q=O.%20A.%20Abolaeha"> O. A. Abolaeha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A new Feed-Forward/Feedback Generalized Minimum Variance Pole-placement Controller to incorporate the robustness of classical pole-placement into the flexibility of generalized minimum variance self-tuning controller for Single-Input Single-Output (SISO) has been proposed in this paper. The design, which provides the user with an adaptive mechanism, which ensures that the closed loop poles are, located at their pre-specified positions. In addition, the controller design which has a feed-forward/feedback structure overcomes the certain limitations existing in similar poleplacement control designs whilst retaining the simplicity of adaptation mechanisms used in other designs. It tracks set-point changes with the desired speed of response, penalizes excessive control action, and can be applied to non-minimum phase systems. Besides, at steady state, the controller has the ability to regulate the constant load disturbance to zero. Example simulation results using both simulated and real plant models demonstrate the effectiveness of the proposed controller. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Pole-placement" title="Pole-placement">Pole-placement</a>, <a href="https://publications.waset.org/search?q=Minimum%20variance%20control" title=" Minimum variance control"> Minimum variance control</a>, <a href="https://publications.waset.org/search?q=self-tuning%20control%20and%20feedforward%20control." title=" self-tuning control and feedforward control."> self-tuning control and feedforward control.</a> </p> <a href="https://publications.waset.org/14481/new-feed-forwardfeedback-generalized-minimum-variance-self-tuning-pole-placement-controller" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14481/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14481/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14481/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14481/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14481/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14481/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14481/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14481/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14481/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14481/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14481.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1747</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2665</span> The BGMRES Method for Generalized Sylvester Matrix Equation AXB − X = C and Preconditioning</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Azita%20Tajaddini">Azita Tajaddini</a>, <a href="https://publications.waset.org/search?q=Ramleh%20Shamsi"> Ramleh Shamsi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present the block generalized minimal residual (BGMRES) method in order to solve the generalized Sylvester matrix equation. However, this method may not be converged in some problems. We construct a polynomial preconditioner based on BGMRES which shows why polynomial preconditioner is superior to some block solvers. Finally, numerical experiments report the effectiveness of this method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Linear%20matrix%20equation" title="Linear matrix equation">Linear matrix equation</a>, <a href="https://publications.waset.org/search?q=Block%20GMRES" title=" Block GMRES"> Block GMRES</a>, <a href="https://publications.waset.org/search?q=matrix%20Krylov%0D%0Asubspace" title=" matrix Krylov subspace"> matrix Krylov subspace</a>, <a href="https://publications.waset.org/search?q=polynomial%20preconditioner." title=" polynomial preconditioner."> polynomial preconditioner.</a> </p> <a href="https://publications.waset.org/10007444/the-bgmres-method-for-generalized-sylvester-matrix-equation-axb-x-c-and-preconditioning" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10007444/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10007444/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10007444/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10007444/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10007444/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10007444/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10007444/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10007444/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10007444/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10007444/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10007444.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">874</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2664</span> Model Updating-Based Approach for Damage Prognosis in Frames via Modal Residual Force</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Gholamreza%20Ghodrati%20Amiri">Gholamreza Ghodrati Amiri</a>, <a href="https://publications.waset.org/search?q=Mojtaba%20Jafarian%20Abyaneh"> Mojtaba Jafarian Abyaneh</a>, <a href="https://publications.waset.org/search?q=Ali%20Zare%20Hosseinzadeh"> Ali Zare Hosseinzadeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an effective model updating strategy for damage localization and quantification in frames by defining damage detection problem as an optimization issue. A generalized version of the Modal Residual Force (MRF) is employed for presenting a new damage-sensitive cost function. Then, Grey Wolf Optimization (GWO) algorithm is utilized for solving suggested inverse problem and the global extremums are reported as damage detection results. The applicability of the presented method is investigated by studying different damage patterns on the benchmark problem of the IASC-ASCE, as well as a planar shear frame structure. The obtained results emphasize good performance of the method not only in free-noise cases, but also when the input data are contaminated with different levels of noises. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Frame" title="Frame">Frame</a>, <a href="https://publications.waset.org/search?q=grey%20wolf%20optimization%20algorithm" title=" grey wolf optimization algorithm"> grey wolf optimization algorithm</a>, <a href="https://publications.waset.org/search?q=modal%20residual%20force" title=" modal residual force"> modal residual force</a>, <a href="https://publications.waset.org/search?q=structural%20damage%20detection." title=" structural damage detection."> structural damage detection.</a> </p> <a href="https://publications.waset.org/10005051/model-updating-based-approach-for-damage-prognosis-in-frames-via-modal-residual-force" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10005051/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10005051/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10005051/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10005051/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10005051/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10005051/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10005051/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10005051/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10005051/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10005051/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10005051.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1495</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2663</span> Extending Global Full Orthogonalization method for Solving the Matrix Equation AXB=F</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Fatemeh%20Panjeh%20Ali%20Beik">Fatemeh Panjeh Ali Beik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present work, we propose a new method for solving the matrix equation AXB=F . The new method can be considered as a generalized form of the well-known global full orthogonalization method (Gl-FOM) for solving multiple linear systems. Hence, the method will be called extended Gl-FOM (EGl- FOM). For implementing EGl-FOM, generalized forms of block Krylov subspace and global Arnoldi process are presented. Finally, some numerical experiments are given to illustrate the efficiency of our new method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Matrix%20equations" title="Matrix equations">Matrix equations</a>, <a href="https://publications.waset.org/search?q=Iterative%20methods" title=" Iterative methods"> Iterative methods</a>, <a href="https://publications.waset.org/search?q=Block%20Krylovsubspace%20methods." title=" Block Krylovsubspace methods."> Block Krylovsubspace methods.</a> </p> <a href="https://publications.waset.org/11185/extending-global-full-orthogonalization-method-for-solving-the-matrix-equation-axbf" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11185/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11185/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11185/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11185/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11185/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11185/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11185/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11185/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11185/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11185/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11185.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1993</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2662</span> Probability of Globality</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Eva%20Eggeling">Eva Eggeling</a>, <a href="https://publications.waset.org/search?q=Dieter%20W.%20Fellner"> Dieter W. Fellner</a>, <a href="https://publications.waset.org/search?q=Torsten%20Ullrich"> Torsten Ullrich</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of global optimization is to find the globally best solution of a model. Nonlinear models are ubiquitous in many applications and their solution often requires a global search approach; i.e. for a function f from a set A ⊂ Rn to the real numbers, an element x0 ∈ A is sought-after, such that ∀ x ∈ A : f(x0) ≤ f(x). Depending on the field of application, the question whether a found solution x0 is not only a local minimum but a global one is very important. This article presents a probabilistic approach to determine the probability of a solution being a global minimum. The approach is independent of the used global search method and only requires a limited, convex parameter domain A as well as a Lipschitz continuous function f whose Lipschitz constant is not needed to be known. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=global%20optimization" title="global optimization">global optimization</a>, <a href="https://publications.waset.org/search?q=probability%20theory" title=" probability theory"> probability theory</a>, <a href="https://publications.waset.org/search?q=probability%20of%0Aglobality" title=" probability of globality"> probability of globality</a> </p> <a href="https://publications.waset.org/6040/probability-of-globality" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6040/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6040/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6040/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6040/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6040/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6040/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6040/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6040/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6040/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6040/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6040.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1582</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2661</span> Generalized Fuzzy Subalgebras and Fuzzy Ideals of BCI-Algebras with Operators </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yuli%20Hu">Yuli Hu</a>, <a href="https://publications.waset.org/search?q=Shaoquan%20Sun"> Shaoquan Sun</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of this paper is to introduce the concepts of generalized fuzzy subalgebras, generalized fuzzy ideals and generalized fuzzy quotient algebras of BCI-algebras with operators, and to investigate their basic properties. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=BCI-algebras%20with%20operators" title="BCI-algebras with operators">BCI-algebras with operators</a>, <a href="https://publications.waset.org/search?q=generalized%20fuzzy%20subalgebras" title=" generalized fuzzy subalgebras"> generalized fuzzy subalgebras</a>, <a href="https://publications.waset.org/search?q=generalized%20fuzzy%20ideals" title=" generalized fuzzy ideals"> generalized fuzzy ideals</a>, <a href="https://publications.waset.org/search?q=generalized%20fuzzy%20quotient%20algebras." title=" generalized fuzzy quotient algebras."> generalized fuzzy quotient algebras.</a> </p> <a href="https://publications.waset.org/10008379/generalized-fuzzy-subalgebras-and-fuzzy-ideals-of-bci-algebras-with-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10008379/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10008379/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10008379/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10008379/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10008379/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10008379/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10008379/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10008379/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10008379/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10008379/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10008379.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">814</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2660</span> Roll of Membership functions in Fuzzy Logic for Prediction of Shoot Length of Mustard Plant Based on Residual Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Satyendra%20Nath%20Mandal">Satyendra Nath Mandal</a>, <a href="https://publications.waset.org/search?q=J.%20Pal%20Choudhury"> J. Pal Choudhury</a>, <a href="https://publications.waset.org/search?q=Dilip%20De"> Dilip De</a>, <a href="https://publications.waset.org/search?q=S.%20R.%20Bhadra%20Chaudhuri"> S. R. Bhadra Chaudhuri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The selection for plantation of a particular type of mustard plant depending on its productivity (pod yield) at the stage of maturity. The growth of mustard plant dependent on some parameters of that plant, these are shoot length, number of leaves, number of roots and roots length etc. As the plant is growing, some leaves may be fall down and some new leaves may come, so it can not gives the idea to develop the relationship with the seeds weight at mature stage of that plant. It is not possible to find the number of roots and root length of mustard plant at growing stage that will be harmful of this plant as roots goes deeper to deeper inside the land. Only the value of shoot length which increases in course of time can be measured at different time instances. Weather parameters are maximum and minimum humidity, rain fall, maximum and minimum temperature may effect the growth of the plant. The parameters of pollution, water, soil, distance and crop management may be dominant factors of growth of plant and its productivity. Considering all parameters, the growth of the plant is very uncertain, fuzzy environment can be considered for the prediction of shoot length at maturity of the plant. Fuzzification plays a greater role for fuzzification of data, which is based on certain membership functions. Here an effort has been made to fuzzify the original data based on gaussian function, triangular function, s-function, Trapezoidal and L –function. After that all fuzzified data are defuzzified to get normal form. Finally the error analysis (calculation of forecasting error and average error) indicates the membership function appropriate for fuzzification of data and use to predict the shoot length at maturity. The result is also verified using residual (Absolute Residual, Maximum of Absolute Residual, Mean Absolute Residual, Mean of Mean Absolute Residual, Median of Absolute Residual and Standard Deviation) analysis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzification" title="Fuzzification">Fuzzification</a>, <a href="https://publications.waset.org/search?q=defuzzification" title=" defuzzification"> defuzzification</a>, <a href="https://publications.waset.org/search?q=gaussian%20function" title=" gaussian function"> gaussian function</a>, <a href="https://publications.waset.org/search?q=triangular%20function" title=" triangular function"> triangular function</a>, <a href="https://publications.waset.org/search?q=trapezoidal%20function" title=" trapezoidal function"> trapezoidal function</a>, <a href="https://publications.waset.org/search?q=s-function" title="s-function">s-function</a>, <a href="https://publications.waset.org/search?q=" title=" "> </a>, <a href="https://publications.waset.org/search?q=membership%20function" title=" membership function"> membership function</a>, <a href="https://publications.waset.org/search?q=residual%20analysis." title=" residual analysis."> residual analysis.</a> </p> <a href="https://publications.waset.org/13270/roll-of-membership-functions-in-fuzzy-logic-for-prediction-of-shoot-length-of-mustard-plant-based-on-residual-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13270/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13270/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13270/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13270/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13270/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13270/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13270/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13270/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13270/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13270/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13270.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2319</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2659</span> An Iterative Algorithm to Compute the Generalized Inverse A(2) T,S Under the Restricted Inner Product</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Xingping%20Sheng">Xingping Sheng</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let T and S be a subspace of Cn and Cm, respectively. Then for A ∈ Cm×n satisfied AT ⊕ S = Cm, the generalized inverse A(2) T,S is given by A(2) T,S = (PS⊥APT )†. In this paper, a finite formulae is presented to compute generalized inverse A(2) T,S under the concept of restricted inner product, which defined as < A,B >T,S=< PS⊥APT,B > for the A,B ∈ Cm×n. By this iterative method, when taken the initial matrix X0 = PTA∗PS⊥, the generalized inverse A(2) T,S can be obtained within at most mn iteration steps in absence of roundoff errors. Finally given numerical example is shown that the iterative formulae is quite efficient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Generalized%20inverse%20A%282%29%0D%0AT" title="Generalized inverse A(2) T">Generalized inverse A(2) T</a>, <a href="https://publications.waset.org/search?q=S" title="S">S</a>, <a href="https://publications.waset.org/search?q=Restricted%20inner%20product" title=" Restricted inner product"> Restricted inner product</a>, <a href="https://publications.waset.org/search?q=Iterative%20method" title=" Iterative method"> Iterative method</a>, <a href="https://publications.waset.org/search?q=Orthogonal%20projection." title=" Orthogonal projection."> Orthogonal projection.</a> </p> <a href="https://publications.waset.org/9544/an-iterative-algorithm-to-compute-the-generalized-inverse-a2-ts-under-the-restricted-inner-product" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9544/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9544/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9544/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9544/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9544/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9544/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9544/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9544/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9544/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9544/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9544.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1257</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2658</span> The New Relative Efficiency Based on the Least Eigenvalue in Generalized Linear Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Chao%20Yuan">Chao Yuan</a>, <a href="https://publications.waset.org/search?q=Bao%20Guang%20Tian"> Bao Guang Tian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A new relative efficiency is defined as LSE and BLUE in the generalized linear model. The relative efficiency is based on the ratio of the least eigenvalues. In this paper, we discuss about its lower bound and the relationship between it and generalized relative coefficient. Finally, this paper proves that the new estimation is better under Stein function and special condition in some degree. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Generalized%20linear%20model" title="Generalized linear model">Generalized linear model</a>, <a href="https://publications.waset.org/search?q=generalized%20relative%20coefficient" title=" generalized relative coefficient"> generalized relative coefficient</a>, <a href="https://publications.waset.org/search?q=least%20eigenvalue" title=" least eigenvalue"> least eigenvalue</a>, <a href="https://publications.waset.org/search?q=relative%20efficiency." title=" relative efficiency."> relative efficiency.</a> </p> <a href="https://publications.waset.org/10004984/the-new-relative-efficiency-based-on-the-least-eigenvalue-in-generalized-linear-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10004984/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10004984/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10004984/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10004984/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10004984/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10004984/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10004984/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10004984/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10004984/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10004984/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10004984.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1188</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2657</span> The Temperature Range in the Simulation of Residual Stress and Hot Tearing During Investment Casting</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Saeid%20Norouzi">Saeid Norouzi</a>, <a href="https://publications.waset.org/search?q=Ali%20Shams"> Ali Shams</a>, <a href="https://publications.waset.org/search?q=Hassan%20Farhangi"> Hassan Farhangi</a>, <a href="https://publications.waset.org/search?q=Alireza%20Darvish"> Alireza Darvish</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Hot tear cracking and residual stress are two different consequences of thermal stress both of which can be considered as casting problem. The purpose of the present study is simulation of the effect of casting shape characteristic on hot tearing and residual stress. This study shows that the temperature range for simulation of hot tearing and residual stress are different. In this study, in order to study the development of thermal stress and to predict the hot tearing and residual stress of shaped casting, MAGMASOFT simulation program was used. The strategy of this research was the prediction of hot tear location using pinpointing hot spot and thermal stress concentration zones. The results shows that existing of stress concentration zone increases the hot tearing probability and consequently reduces the amount of remaining residual stress in casting parts.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Hot%20tearing" title="Hot tearing">Hot tearing</a>, <a href="https://publications.waset.org/search?q=residual%20stress" title=" residual stress"> residual stress</a>, <a href="https://publications.waset.org/search?q=simulation" title=" simulation"> simulation</a>, <a href="https://publications.waset.org/search?q=investment%20casting." title=" investment casting."> investment casting.</a> </p> <a href="https://publications.waset.org/1743/the-temperature-range-in-the-simulation-of-residual-stress-and-hot-tearing-during-investment-casting" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1743/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1743/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1743/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1743/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1743/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1743/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1743/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1743/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1743/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1743/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1743.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2724</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2656</span> Geopotential Models Evaluation in Algeria Using Stochastic Method, GPS/Leveling and Topographic Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20A.%20Meslem">M. A. Meslem</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>For precise geoid determination, we use a reference field to subtract long and medium wavelength of the gravity field from observations data when we use the remove-compute-restore technique. Therefore, a comparison study between considered models should be made in order to select the optimal reference gravity field to be used. In this context, two recent global geopotential models have been selected to perform this comparison study over Northern Algeria. The Earth Gravitational Model (EGM2008) and the Global Gravity Model (GECO) conceived with a combination of the first model with anomalous potential derived from a GOCE satellite-only global model. Free air gravity anomalies in the area under study have been used to compute residual data using both gravity field models and a Digital Terrain Model (DTM) to subtract the residual terrain effect from the gravity observations. Residual data were used to generate local empirical covariance functions and their fitting to the closed form in order to compare their statistical behaviors according to both cases. Finally, height anomalies were computed from both geopotential models and compared to a set of GPS levelled points on benchmarks using least squares adjustment. The result described in details in this paper regarding these two models has pointed out a slight advantage of GECO global model globally through error degree variances comparison and ground-truth evaluation.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Quasigeoid" title="Quasigeoid">Quasigeoid</a>, <a href="https://publications.waset.org/search?q=gravity%20anomalies" title=" gravity anomalies"> gravity anomalies</a>, <a href="https://publications.waset.org/search?q=covariance" title=" covariance"> covariance</a>, <a href="https://publications.waset.org/search?q=GGM." title=" GGM."> GGM.</a> </p> <a href="https://publications.waset.org/10009821/geopotential-models-evaluation-in-algeria-using-stochastic-method-gpsleveling-and-topographic-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10009821/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10009821/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10009821/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10009821/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10009821/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10009821/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10009821/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10009821/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10009821/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10009821/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10009821.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">897</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2655</span> Two Iterative Algorithms to Compute the Bisymmetric Solution of the Matrix Equation A1X1B1 + A2X2B2 + ... + AlXlBl = C</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=A.Tajaddini">A.Tajaddini</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, two matrix iterative methods are presented to solve the matrix equation A1X1B1 + A2X2B2 + ... + AlXlBl = C the minimum residual problem l i=1 AiXiBi−CF = minXi∈BRni×ni l i=1 AiXiBi−CF and the matrix nearness problem [X1, X2, ..., Xl] = min[X1,X2,...,Xl]∈SE [X1,X2, ...,Xl] − [X1, X2, ..., Xl]F , where BRni×ni is the set of bisymmetric matrices, and SE is the solution set of above matrix equation or minimum residual problem. These matrix iterative methods have faster convergence rate and higher accuracy than former methods. Paige’s algorithms are used as the frame method for deriving these matrix iterative methods. The numerical example is used to illustrate the efficiency of these new methods.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bisymmetric%20matrices" title="Bisymmetric matrices">Bisymmetric matrices</a>, <a href="https://publications.waset.org/search?q=Paige%E2%80%99s%20algorithms" title=" Paige’s algorithms"> Paige’s algorithms</a>, <a href="https://publications.waset.org/search?q=Least%0D%0Asquare." title=" Least square."> Least square.</a> </p> <a href="https://publications.waset.org/16744/two-iterative-algorithms-to-compute-the-bisymmetric-solution-of-the-matrix-equation-a1x1b1-a2x2b2-alxlbl-c" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16744/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16744/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16744/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16744/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16744/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16744/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16744/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16744/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16744/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16744/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16744.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1393</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2654</span> Generalized Chebyshev Collocation Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Junghan%20Kim">Junghan Kim</a>, <a href="https://publications.waset.org/search?q=Wonkyu%20Chung"> Wonkyu Chung</a>, <a href="https://publications.waset.org/search?q=Sunyoung%20Bu"> Sunyoung Bu</a>, <a href="https://publications.waset.org/search?q=Philsu%20Kim"> Philsu Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we introduce a generalized Chebyshev collocation method (GCCM) based on the generalized Chebyshev polynomials for solving stiff systems. For employing a technique of the embedded Runge-Kutta method used in explicit schemes, the property of the generalized Chebyshev polynomials is used, in which the nodes for the higher degree polynomial are overlapped with those for the lower degree polynomial. The constructed algorithm controls both the error and the time step size simultaneously and further the errors at each integration step are embedded in the algorithm itself, which provides the efficiency of the computational cost. For the assessment of the effectiveness, numerical results obtained by the proposed method and the Radau IIA are presented and compared.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Generalized%20Chebyshev%20Collocation%20method" title="Generalized Chebyshev Collocation method">Generalized Chebyshev Collocation method</a>, <a href="https://publications.waset.org/search?q=Generalized%20Chebyshev%20Polynomial" title=" Generalized Chebyshev Polynomial"> Generalized Chebyshev Polynomial</a>, <a href="https://publications.waset.org/search?q=Initial%20value%20problem." title=" Initial value problem."> Initial value problem.</a> </p> <a href="https://publications.waset.org/9999909/generalized-chebyshev-collocation-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999909/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999909/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999909/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999909/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999909/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999909/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999909/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999909/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999909/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999909/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999909.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2640</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2653</span> Particle Swarm Optimization with Reduction for Global Optimization Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Michiharu%20Maeda">Michiharu Maeda</a>, <a href="https://publications.waset.org/search?q=Shinya%20Tsuda"> Shinya Tsuda</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an algorithm of particle swarm optimization with reduction for global optimization problems. Particle swarm optimization is an algorithm which refers to the collective motion such as birds or fishes, and a multi-point search algorithm which finds a best solution using multiple particles. Particle swarm optimization is so flexible that it can adapt to a number of optimization problems. When an objective function has a lot of local minimums complicatedly, the particle may fall into a local minimum. For avoiding the local minimum, a number of particles are initially prepared and their positions are updated by particle swarm optimization. Particles sequentially reduce to reach a predetermined number of them grounded in evaluation value and particle swarm optimization continues until the termination condition is met. In order to show the effectiveness of the proposed algorithm, we examine the minimum by using test functions compared to existing algorithms. Furthermore the influence of best value on the initial number of particles for our algorithm is discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Particle%20swarm%20optimization" title="Particle swarm optimization">Particle swarm optimization</a>, <a href="https://publications.waset.org/search?q=Global%20optimization" title=" Global optimization"> Global optimization</a>, <a href="https://publications.waset.org/search?q=Metaheuristics" title="Metaheuristics">Metaheuristics</a>, <a href="https://publications.waset.org/search?q=Reduction." title=" Reduction."> Reduction.</a> </p> <a href="https://publications.waset.org/15383/particle-swarm-optimization-with-reduction-for-global-optimization-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15383/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15383/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15383/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15383/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15383/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15383/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15383/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15383/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15383/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15383/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15383.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1621</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2652</span> (T1, T2)*- Semi Star Generalized Locally Closed Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Sundararaman">M. Sundararaman</a>, <a href="https://publications.waset.org/search?q=K.%20Chandrasekhara%20Rao"> K. Chandrasekhara Rao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The aim of this paper is to continue the study of (T1, T2)-semi star generalized closed sets by introducing the concepts of (T1, T2)-semi star generalized locally closed sets and study their basic properties in bitopological spaces.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=%28T1" title="(T1">(T1</a>, <a href="https://publications.waset.org/search?q=T2%29%2A-semi%20star%20generalized%20locally%20closed%20sets" title=" T2)*-semi star generalized locally closed sets"> T2)*-semi star generalized locally closed sets</a>, <a href="https://publications.waset.org/search?q=T1T2-semi%20star%20generalized%20closed%20sets." title=" T1T2-semi star generalized closed sets."> T1T2-semi star generalized closed sets.</a> </p> <a href="https://publications.waset.org/13485/t1-t2-semi-star-generalized-locally-closed-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13485/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13485/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13485/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13485/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13485/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13485/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13485/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13485/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13485/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13485/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13485.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1471</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2651</span> The Relationship between Fatigue Crack Growth and Residual Stress in Rails</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=F.%20Husem">F. Husem</a>, <a href="https://publications.waset.org/search?q=M.%20E.%20Turan"> M. E. Turan</a>, <a href="https://publications.waset.org/search?q=Y.%20Sun"> Y. Sun</a>, <a href="https://publications.waset.org/search?q=H.%20Ahlatci"> H. Ahlatci</a>, <a href="https://publications.waset.org/search?q=I.%20Tozlu"> I. Tozlu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Residual stress and fatigue crack growth rates are important to determine mechanical behavior of rails. This study aims to make relationship between residual stress and fatigue crack growth values in rails. For this purpose, three R260 quality rails (0.6-0.8% C, 0.6-1.25 Mn) were chosen. Residual stress of samples was measured by cutting method that is related in railway standard. Then samples were machined for fatigue crack growth test and analyze was completed according to the ASTM E647 standard which gives information about parameters of rails for this test. Microstructure characterizations were examined by Light Optic Microscope (LOM). The results showed that residual stress change with fatigue crack growth rate. The sample has highest residual stress exhibits highest crack growth rate and pearlitic structure can be seen clearly for all samples by microstructure analyze.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Residual%20stress" title="Residual stress">Residual stress</a>, <a href="https://publications.waset.org/search?q=fatigue%20crack%20growth" title=" fatigue crack growth"> fatigue crack growth</a>, <a href="https://publications.waset.org/search?q=R260" title=" R260"> R260</a>, <a href="https://publications.waset.org/search?q=LOM" title=" LOM"> LOM</a>, <a href="https://publications.waset.org/search?q=ASTM%20E647." title=" ASTM E647."> ASTM E647.</a> </p> <a href="https://publications.waset.org/10005653/the-relationship-between-fatigue-crack-growth-and-residual-stress-in-rails" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10005653/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10005653/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10005653/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10005653/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10005653/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10005653/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10005653/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10005653/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10005653/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10005653/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10005653.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1651</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2650</span> The Baer Radical of Rings in Term of Prime and Semiprime Generalized Bi-ideals</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Rattiya%20Boonruang">Rattiya Boonruang</a>, <a href="https://publications.waset.org/search?q=Aiyared%20Iampan"> Aiyared Iampan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Using the idea of prime and semiprime bi-ideals of rings, the concept of prime and semiprime generalized bi-ideals of rings is introduced, which is an extension of the concept of prime and semiprime bi-ideals of rings and some interesting characterizations of prime and semiprime generalized bi-ideals are obtained. Also, we give the relationship between the Baer radical and prime and semiprime generalized bi-ideals of rings in the same way as of biideals of rings which was studied by Roux. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=ring" title="ring">ring</a>, <a href="https://publications.waset.org/search?q=prime%20and%20semiprime%20%28generalized%29%20bi-ideal" title=" prime and semiprime (generalized) bi-ideal"> prime and semiprime (generalized) bi-ideal</a>, <a href="https://publications.waset.org/search?q=Baer%0Aradical." title=" Baer radical."> Baer radical.</a> </p> <a href="https://publications.waset.org/15439/the-baer-radical-of-rings-in-term-of-prime-and-semiprime-generalized-bi-ideals" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15439/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15439/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15439/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15439/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15439/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15439/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15439/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15439/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15439/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15439/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15439.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1294</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2649</span> Fatigue Crack Initiation and Propagation through Residual Stress Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Benachour">M. Benachour</a>, <a href="https://publications.waset.org/search?q=N.%20Benachour"> N. Benachour</a>, <a href="https://publications.waset.org/search?q=M.%20Benguediab"> M. Benguediab</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper fatigue crack initiation and propagation in notched plate under constant amplitude loading through tensile residual stress field of 2024 T351 Al-alloy plate were investigated. Residual stress field was generated by plastic deformation using finite element method (FEM) where isotropic hardening in Von Mises model was applied. Simulation of fatigue behavior was made on AFGROW code. It was shown that the fatigue crack initiation and propagation were affected by level of residual stress filed. In this investigation, the presence of tensile residual stresses at notch (hole) reduces considerably the total fatigue life. It was shown that the decreasing in stress reduces the fatigue crack growth rates.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Residual%20stress" title="Residual stress">Residual stress</a>, <a href="https://publications.waset.org/search?q=fatigue%20crack%20initiation" title=" fatigue crack initiation"> fatigue crack initiation</a>, <a href="https://publications.waset.org/search?q=fatigue%20crack%20growth" title=" fatigue crack growth"> fatigue crack growth</a>, <a href="https://publications.waset.org/search?q=Al-alloy." title=" Al-alloy."> Al-alloy.</a> </p> <a href="https://publications.waset.org/13707/fatigue-crack-initiation-and-propagation-through-residual-stress-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13707/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13707/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13707/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13707/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13707/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13707/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13707/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13707/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13707/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13707/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13707.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2718</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2648</span> Convergence Analysis of the Generalized Alternating Two-Stage Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Liangliang%20Li"> Liangliang Li</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we give the generalized alternating twostage method in which the inner iterations are accomplished by a generalized alternating method. And we present convergence results of the method for solving nonsingular linear systems when the coefficient matrix of the linear system is a monotone matrix or an H-matrix.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Generalized%20alternating%20two-stage%20method" title="Generalized alternating two-stage method">Generalized alternating two-stage method</a>, <a href="https://publications.waset.org/search?q=linear%20system" title=" linear system"> linear system</a>, <a href="https://publications.waset.org/search?q=convergence." title=" convergence."> convergence.</a> </p> <a href="https://publications.waset.org/7714/convergence-analysis-of-the-generalized-alternating-two-stage-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7714/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7714/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7714/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7714/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7714/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7714/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7714/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7714/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7714/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7714/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7714.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1259</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2647</span> Forecasting Electricity Spot Price with Generalized Long Memory Modeling: Wavelet and Neural Network</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Souhir%20Ben%20Amor">Souhir Ben Amor</a>, <a href="https://publications.waset.org/search?q=Heni%20Boubaker"> Heni Boubaker</a>, <a href="https://publications.waset.org/search?q=Lotfi%20Belkacem"> Lotfi Belkacem</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This aims of this paper is to forecast the electricity spot prices. First, we focus on modeling the conditional mean of the series so we adopt a generalized fractional -factor Gegenbauer process (k-factor GARMA). Secondly, the residual from the -factor GARMA model has used as a proxy for the conditional variance; these residuals were predicted using two different approaches. In the first approach, a local linear wavelet neural network model (LLWNN) has developed to predict the conditional variance using the Back Propagation learning algorithms. In the second approach, the Gegenbauer generalized autoregressive conditional heteroscedasticity process (G-GARCH) has adopted, and the parameters of the k-factor GARMA-G-GARCH model has estimated using the wavelet methodology based on the discrete wavelet packet transform (DWPT) approach. The empirical results have shown that the k-factor GARMA-G-GARCH model outperform the hybrid k-factor GARMA-LLWNN model, and find it is more appropriate for forecasts. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=k-factor" title="k-factor">k-factor</a>, <a href="https://publications.waset.org/search?q=GARMA" title=" GARMA"> GARMA</a>, <a href="https://publications.waset.org/search?q=LLWNN" title=" LLWNN"> LLWNN</a>, <a href="https://publications.waset.org/search?q=G-GARCH" title=" G-GARCH"> G-GARCH</a>, <a href="https://publications.waset.org/search?q=electricity%20price" title=" electricity price"> electricity price</a>, <a href="https://publications.waset.org/search?q=forecasting." title=" forecasting."> forecasting.</a> </p> <a href="https://publications.waset.org/10008468/forecasting-electricity-spot-price-with-generalized-long-memory-modeling-wavelet-and-neural-network" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10008468/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10008468/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10008468/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10008468/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10008468/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10008468/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10008468/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10008468/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10008468/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10008468/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10008468.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">995</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2646</span> Regular Generalized Star Star closed sets in Bitopological Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=K.%20Kannan">K. Kannan</a>, <a href="https://publications.waset.org/search?q=D.%20Narasimhan"> D. Narasimhan</a>, <a href="https://publications.waset.org/search?q=K.%20Chandrasekhara%20Rao"> K. Chandrasekhara Rao</a>, <a href="https://publications.waset.org/search?q=R.%20Ravikumar"> R. Ravikumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The aim of this paper is to introduce the concepts of τ1τ2-regular generalized star star closed sets , τ1τ2-regular generalized star star open sets and study their basic properties in bitopological spaces.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=%CF%841%CF%842-regular%20closed%20sets" title="τ1τ2-regular closed sets">τ1τ2-regular closed sets</a>, <a href="https://publications.waset.org/search?q=%CF%841%CF%842-regular%20open%20sets" title=" τ1τ2-regular open sets"> τ1τ2-regular open sets</a>, <a href="https://publications.waset.org/search?q=%CF%841%CF%842-regular%20generalized%20closed%20sets" title=" τ1τ2-regular generalized closed sets"> τ1τ2-regular generalized closed sets</a>, <a href="https://publications.waset.org/search?q=%CF%841%CF%842-regular%20generalized%20star%0D%0Aclosed%20sets" title=" τ1τ2-regular generalized star closed sets"> τ1τ2-regular generalized star closed sets</a>, <a href="https://publications.waset.org/search?q=%CF%841%CF%842-regular%20generalized%20star%20star%20closed%20sets." title=" τ1τ2-regular generalized star star closed sets."> τ1τ2-regular generalized star star closed sets.</a> </p> <a href="https://publications.waset.org/15440/regular-generalized-star-star-closed-sets-in-bitopological-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15440/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15440/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15440/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15440/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15440/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15440/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15440/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15440/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15440/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15440/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15440.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2212</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2645</span> A Generalized Framework for Working with Multiagent Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Debal%20Saha">Debal Saha</a>, <a href="https://publications.waset.org/search?q=NirmalBaranHui"> NirmalBaranHui</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The present paper discusses the basic concepts and the underlying principles of Multi-Agent Systems (MAS) along with an interdisciplinary exploitation of these principles. It has been found that they have been utilized for lots of research and studies on various systems spanning across diverse engineering and scientific realms showing the need of development of a proper generalized framework. Such framework has been developed for the Multi-Agent Systems and it has been generalized keeping in mind the diverse areas where they find application. All the related aspects have been categorized and a general definition has been given where ever possible.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Generalized%20framework" title="Generalized framework">Generalized framework</a>, <a href="https://publications.waset.org/search?q=multiagent%20systems." title=" multiagent systems."> multiagent systems.</a> </p> <a href="https://publications.waset.org/8419/a-generalized-framework-for-working-with-multiagent-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8419/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8419/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8419/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8419/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8419/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8419/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8419/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8419/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8419/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8419/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8419.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1783</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2644</span> On Properties of Generalized Bi-Γ-Ideals of Γ-Semirings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Teerayut%20Chomchuen">Teerayut Chomchuen</a>, <a href="https://publications.waset.org/search?q=Aiyared%20Iampan"> Aiyared Iampan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The notion of Γ-semirings was introduced by Murali Krishna Rao as a generalization of the notion of Γ-rings as well as of semirings. We have known that the notion of Γ-semirings is a generalization of the notion of semirings. In this paper, extending Kaushik, Moin and Khan’s work, we generalize the notion of generalized bi-Γ-ideals of Γ-semirings and investigate some related properties of generalized bi-Γ-ideals.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=%CE%93-semiring" title="Γ-semiring">Γ-semiring</a>, <a href="https://publications.waset.org/search?q=bi-%CE%93-ideal" title=" bi-Γ-ideal"> bi-Γ-ideal</a>, <a href="https://publications.waset.org/search?q=generalized%20bi-%CE%93-ideal." title=" generalized bi-Γ-ideal."> generalized bi-Γ-ideal.</a> </p> <a href="https://publications.waset.org/17224/on-properties-of-generalized-bi-g-ideals-of-g-semirings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17224/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17224/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17224/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17224/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17224/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17224/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17224/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/17224/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/17224/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/17224/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/17224.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2293</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2643</span> Solving Linear Matrix Equations by Matrix Decompositions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yongxin%20Yuan">Yongxin Yuan</a>, <a href="https://publications.waset.org/search?q=Kezheng%20Zuo"> Kezheng Zuo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, a system of linear matrix equations is considered. A new necessary and sufficient condition for the consistency of the equations is derived by means of the generalized singular-value decomposition, and the explicit representation of the general solution is provided.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Matrix%20equation" title="Matrix equation">Matrix equation</a>, <a href="https://publications.waset.org/search?q=Generalized%20inverse" title=" Generalized inverse"> Generalized inverse</a>, <a href="https://publications.waset.org/search?q=Generalized%0D%0Asingular-value%20decomposition." title=" Generalized singular-value decomposition."> Generalized singular-value decomposition.</a> </p> <a href="https://publications.waset.org/10000378/solving-linear-matrix-equations-by-matrix-decompositions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10000378/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10000378/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10000378/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10000378/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10000378/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10000378/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10000378/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10000378/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10000378/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10000378/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10000378.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2058</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2642</span> Minimal Residual Method for Adaptive Filtering with Finite Termination</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Noor%20Atinah%20Ahmad">Noor Atinah Ahmad</a>, <a href="https://publications.waset.org/search?q=Shazia%20Javed"> Shazia Javed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present a discussion of three adaptive filtering algorithms well known for their one-step termination property, in terms of their relationship with the minimal residual method. These algorithms are the normalized least mean square (NLMS), Affine Projection algorithm (APA) and the recursive least squares algorithm (RLS). The NLMS is shown to be a result of the orthogonality condition imposed on the instantaneous approximation of the Wiener equation, while APA and RLS algorithm result from orthogonality condition in multi-dimensional minimal residual formulation. Further analysis of the minimal residual formulation for the RLS leads to a triangular system which also possesses the one-step termination property (in exact arithmetic) <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Adaptive%20filtering" title="Adaptive filtering">Adaptive filtering</a>, <a href="https://publications.waset.org/search?q=minimal%20residual%20method" title=" minimal residual method"> minimal residual method</a>, <a href="https://publications.waset.org/search?q=projection%0Amethod." title=" projection method."> projection method.</a> </p> <a href="https://publications.waset.org/8790/minimal-residual-method-for-adaptive-filtering-with-finite-termination" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8790/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8790/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8790/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8790/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8790/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8790/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8790/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8790/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8790/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8790/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8790.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1554</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2641</span> A New Analytical Approach to Reconstruct Residual Stresses Due to Turning Process</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=G.H.%20Farrahi">G.H. Farrahi</a>, <a href="https://publications.waset.org/search?q=S.A.%20Faghidian"> S.A. Faghidian</a>, <a href="https://publications.waset.org/search?q=D.J.%20Smith"> D.J. Smith</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A thin layer on the component surface can be found with high tensile residual stresses, due to turning operations, which can dangerously affect the fatigue performance of the component. In this paper an analytical approach is presented to reconstruct the residual stress field from a limited incomplete set of measurements. Airy stress function is used as the primary unknown to directly solve the equilibrium equations and satisfying the boundary conditions. In this new method there exists the flexibility to impose the physical conditions that govern the behavior of residual stress to achieve a meaningful complete stress field. The analysis is also coupled to a least squares approximation and a regularization method to provide stability of the inverse problem. The power of this new method is then demonstrated by analyzing some experimental measurements and achieving a good agreement between the model prediction and the results obtained from residual stress measurement. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Residual%20stress" title="Residual stress">Residual stress</a>, <a href="https://publications.waset.org/search?q=Limited%20measurements" title=" Limited measurements"> Limited measurements</a>, <a href="https://publications.waset.org/search?q=Inverse%0Aproblems" title=" Inverse problems"> Inverse problems</a>, <a href="https://publications.waset.org/search?q=Turning%20process." title=" Turning process."> Turning process.</a> </p> <a href="https://publications.waset.org/9803/a-new-analytical-approach-to-reconstruct-residual-stresses-due-to-turning-process" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9803/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9803/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9803/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9803/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9803/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9803/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9803/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9803/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9803/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9803/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9803.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1430</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2640</span> Restarted Generalized Second-Order Krylov Subspace Methods for Solving Quadratic Eigenvalue Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Liping%20Zhou">Liping Zhou</a>, <a href="https://publications.waset.org/search?q=Liang%20Bao"> Liang Bao</a>, <a href="https://publications.waset.org/search?q=Yiqin%20Lin"> Yiqin Lin</a>, <a href="https://publications.waset.org/search?q=Yimin%20Wei"> Yimin Wei</a>, <a href="https://publications.waset.org/search?q=Qinghua%20Wu"> Qinghua Wu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article is devoted to the numerical solution of large-scale quadratic eigenvalue problems. Such problems arise in a wide variety of applications, such as the dynamic analysis of structural mechanical systems, acoustic systems, fluid mechanics, and signal processing. We first introduce a generalized second-order Krylov subspace based on a pair of square matrices and two initial vectors and present a generalized second-order Arnoldi process for constructing an orthonormal basis of the generalized second-order Krylov subspace. Then, by using the projection technique and the refined projection technique, we propose a restarted generalized second-order Arnoldi method and a restarted refined generalized second-order Arnoldi method for computing some eigenpairs of largescale quadratic eigenvalue problems. Some theoretical results are also presented. Some numerical examples are presented to illustrate the effectiveness of the proposed methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Quadratic%20eigenvalue%20problem" title="Quadratic eigenvalue problem">Quadratic eigenvalue problem</a>, <a href="https://publications.waset.org/search?q=Generalized%20secondorder%20Krylov%20subspace" title=" Generalized secondorder Krylov subspace"> Generalized secondorder Krylov subspace</a>, <a href="https://publications.waset.org/search?q=Generalized%20second-order%20Arnoldi%20process" title=" Generalized second-order Arnoldi process"> Generalized second-order Arnoldi process</a>, <a href="https://publications.waset.org/search?q=Projection%20technique" title=" Projection technique"> Projection technique</a>, <a href="https://publications.waset.org/search?q=Refined%20technique" title=" Refined technique"> Refined technique</a>, <a href="https://publications.waset.org/search?q=Restarting." title=" Restarting."> Restarting.</a> </p> <a href="https://publications.waset.org/9935/restarted-generalized-second-order-krylov-subspace-methods-for-solving-quadratic-eigenvalue-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9935/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9935/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9935/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9935/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9935/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9935/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9935/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9935/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9935/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9935/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9935.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1867</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2639</span> Minimization Problems for Generalized Reflexive and Generalized Anti-Reflexive Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yongxin%20Yuan">Yongxin Yuan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Let R ∈ Cm×m and S ∈ Cn×n be nontrivial unitary involutions, i.e., RH = R = R−1 = ±Im and SH = S = S−1 = ±In. A ∈ Cm×n is said to be a generalized reflexive (anti-reflexive) matrix if RAS = A (RAS = −A). Let ρ be the set of m × n generalized reflexive (anti-reflexive) matrices. Given X ∈ Cn×p, Z ∈ Cm×p, Y ∈ Cm×q and W ∈ Cn×q, we characterize the matrices A in ρ that minimize AX−Z2+Y HA−WH2, and, given an arbitrary A&tilde; ∈ Cm×n, we find a unique matrix among the minimizers of AX − Z2 + Y HA − WH2 in ρ that minimizes A − A&tilde;. We also obtain sufficient and necessary conditions for existence of A ∈ ρ such that AX = Z, Y HA = WH, and characterize the set of all such matrices A if the conditions are satisfied. These results are applied to solve a class of left and right inverse eigenproblems for generalized reflexive (anti-reflexive) matrices.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=approximation" title="approximation">approximation</a>, <a href="https://publications.waset.org/search?q=generalized%20reflexive%20matrix" title=" generalized reflexive matrix"> generalized reflexive matrix</a>, <a href="https://publications.waset.org/search?q=generalized%0D%0Aanti-reflexive%20matrix" title=" generalized anti-reflexive matrix"> generalized anti-reflexive matrix</a>, <a href="https://publications.waset.org/search?q=inverse%20eigenvalue%20problem." title=" inverse eigenvalue problem."> inverse eigenvalue problem.</a> </p> <a href="https://publications.waset.org/17082/minimization-problems-for-generalized-reflexive-and-generalized-anti-reflexive-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17082/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17082/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17082/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17082/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17082/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17082/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17082/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/17082/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a 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