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matrices</title> <meta name="description" content="Search results for: error matrices"> <meta name="keywords" content="error matrices"> <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 Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler 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style="font-size:.9rem"><span class="badge badge-info">2225</span> Geometric and Algebraic Properties of the Eigenvalues of Monotone Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Brando%20Vagenende">Brando Vagenende</a>, <a href="https://publications.waset.org/abstracts/search?q=Marie-Anne%20Guerry"> Marie-Anne Guerry</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For stochastic matrices of any order, the geometric description of the convex set of eigenvalues is completely known. The purpose of this study is to investigate the subset of the monotone matrices. This type of matrix appears in contexts such as intergenerational occupational mobility, equal-input modeling, and credit ratings-based systems. Monotone matrices are stochastic matrices in which each row stochastically dominates the previous row. The monotonicity property of a stochastic matrix can be expressed by a nonnegative lower-order matrix with the same eigenvalues as the original monotone matrix (except for the eigenvalue 1). Specifically, the aim of this research is to focus on the properties of eigenvalues of monotone matrices. For those matrices up to order 3, there already exists a complete description of the convex set of eigenvalues. For monotone matrices of order at least 4, this study gives, through simulations, more insight into the geometric description of their eigenvalues. Furthermore, this research treats in a geometric and algebraic way the properties of eigenvalues of monotone matrices of order at least 4. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=eigenvalues%20of%20matrices" title="eigenvalues of matrices">eigenvalues of matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20Markov%20chains" title=" finite Markov chains"> finite Markov chains</a>, <a href="https://publications.waset.org/abstracts/search?q=monotone%20matrices" title=" monotone matrices"> monotone matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=nonnegative%20matrices" title=" nonnegative matrices"> nonnegative matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20matrices" title=" stochastic matrices"> stochastic matrices</a> </p> <a href="https://publications.waset.org/abstracts/179294/geometric-and-algebraic-properties-of-the-eigenvalues-of-monotone-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/179294.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">80</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2224</span> Convergence of Generalized Jacobi, Gauss-Seidel and Successive Overrelaxation Methods for Various Classes of Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manideepa%20Saha">Manideepa Saha</a>, <a href="https://publications.waset.org/abstracts/search?q=Jahnavi%20Chakrabarty"> Jahnavi Chakrabarty</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Generalized Jacobi (GJ) and Generalized Gauss-Seidel (GGS) methods are most effective than conventional Jacobi and Gauss-Seidel methods for solving linear system of equations. It is known that GJ and GGS methods converge for strictly diagonally dominant (SDD) and for M-matrices. In this paper, we study the convergence of GJ and GGS converge for symmetric positive definite (SPD) matrices, L-matrices and H-matrices. We introduce a generalization of successive overrelaxation (SOR) method for solving linear systems and discuss its convergence for the classes of SDD matrices, SPD matrices, M-matrices, L-matrices and for H-matrices. Advantages of generalized SOR method are established through numerical experiments over GJ, GGS, and SOR methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=convergence" title="convergence">convergence</a>, <a href="https://publications.waset.org/abstracts/search?q=Gauss-Seidel" title=" Gauss-Seidel"> Gauss-Seidel</a>, <a href="https://publications.waset.org/abstracts/search?q=iterative%20method" title=" iterative method"> iterative method</a>, <a href="https://publications.waset.org/abstracts/search?q=Jacobi" title=" Jacobi"> Jacobi</a>, <a href="https://publications.waset.org/abstracts/search?q=SOR" title=" SOR"> SOR</a> </p> <a href="https://publications.waset.org/abstracts/97280/convergence-of-generalized-jacobi-gauss-seidel-and-successive-overrelaxation-methods-for-various-classes-of-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/97280.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">188</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2223</span> On the Construction of Lightweight Circulant Maximum Distance Separable Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Qinyi%20Mei">Qinyi Mei</a>, <a href="https://publications.waset.org/abstracts/search?q=Li-Ping%20Wang"> Li-Ping Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> MDS matrices are of great significance in the design of block ciphers and hash functions. In the present paper, we investigate the problem of constructing MDS matrices which are both lightweight and low-latency. We propose a new method of constructing lightweight MDS matrices using circulant matrices which can be implemented efficiently in hardware. Furthermore, we provide circulant MDS matrices with as few bit XOR operations as possible for the classical dimensions 4 × 4, 8 × 8 over the space of linear transformations over finite field F42 . In contrast to previous constructions of MDS matrices, our constructions have achieved fewer XORs. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=linear%20diffusion%20layer" title="linear diffusion layer">linear diffusion layer</a>, <a href="https://publications.waset.org/abstracts/search?q=circulant%20matrix" title=" circulant matrix"> circulant matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=lightweight" title=" lightweight"> lightweight</a>, <a href="https://publications.waset.org/abstracts/search?q=maximum%20distance%20separable%20%28MDS%29%20matrix" title="maximum distance separable (MDS) matrix">maximum distance separable (MDS) matrix</a> </p> <a href="https://publications.waset.org/abstracts/64109/on-the-construction-of-lightweight-circulant-maximum-distance-separable-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64109.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">410</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2222</span> Conditions on Expressing a Matrix as a Sum of α-Involutions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ric%20Joseph%20R.%20Murillo">Ric Joseph R. Murillo</a>, <a href="https://publications.waset.org/abstracts/search?q=Edna%20N.%20Gueco"> Edna N. Gueco</a>, <a href="https://publications.waset.org/abstracts/search?q=Dennis%20I.%20Merino"> Dennis I. Merino</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let F be C or R, where C and R are the set of complex numbers and real numbers, respectively, and n be a natural number. An n-by-n matrix A over the field F is called an α-involutory matrix or an α-involution if there exists an α in the field such that the square of the matrix is equal to αI, where I is the n-by-n identity matrix. If α is a complex number or a nonnegative real number, then an n-by-n matrix A over the field F can be written as a sum of n-by-n α-involutory matrices over the field F if and only if the trace of that matrix is an integral multiple of the square root of α. Meanwhile, if α is a negative real number, then a 2n-by-2n matrix A over R can be written as a sum of 2n-by-2n α-involutory matrices over R if and only the trace of the matrix is zero. Some other properties of α-involutory matrices are also determined <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=%CE%B1-involutory%20Matrices" title="α-involutory Matrices">α-involutory Matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=sum%20of%20%CE%B1-involutory%20Matrices" title=" sum of α-involutory Matrices"> sum of α-involutory Matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=Trace" title=" Trace"> Trace</a>, <a href="https://publications.waset.org/abstracts/search?q=Matrix%20Theory" title=" Matrix Theory"> Matrix Theory</a> </p> <a href="https://publications.waset.org/abstracts/95131/conditions-on-expressing-a-matrix-as-a-sum-of-a-involutions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/95131.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">198</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2221</span> Reconstruction of Binary Matrices Satisfying Neighborhood Constraints by Simulated Annealing</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Divyesh%20Patel">Divyesh Patel</a>, <a href="https://publications.waset.org/abstracts/search?q=Tanuja%20Srivastava"> Tanuja Srivastava</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper considers the NP-hard problem of reconstructing binary matrices satisfying exactly-1-4-adjacency constraint from its row and column projections. This problem is formulated into a maximization problem. The objective function gives a measure of adjacency constraint for the binary matrices. The maximization problem is solved by the simulated annealing algorithm and experimental results are presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=discrete%20tomography" title="discrete tomography">discrete tomography</a>, <a href="https://publications.waset.org/abstracts/search?q=exactly-1-4-adjacency" title=" exactly-1-4-adjacency"> exactly-1-4-adjacency</a>, <a href="https://publications.waset.org/abstracts/search?q=simulated%20annealing" title=" simulated annealing"> simulated annealing</a>, <a href="https://publications.waset.org/abstracts/search?q=binary%20matrices" title=" binary matrices"> binary matrices</a> </p> <a href="https://publications.waset.org/abstracts/8505/reconstruction-of-binary-matrices-satisfying-neighborhood-constraints-by-simulated-annealing" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/8505.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">406</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2220</span> Imp_hist-Si: Improved Hybrid Image Segmentation Technique for Satellite Imagery to Decrease the Segmentation Error Rate</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Neetu%20Manocha">Neetu Manocha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Image segmentation is a technique where a picture is parted into distinct parts having similar features which have a place with similar items. Various segmentation strategies have been proposed as of late by prominent analysts. But, after ultimate thorough research, the novelists have analyzed that generally, the old methods do not decrease the segmentation error rate. Then author finds the technique HIST-SI to decrease the segmentation error rates. In this technique, cluster-based and threshold-based segmentation techniques are merged together. After then, to improve the result of HIST-SI, the authors added the method of filtering and linking in this technique named Imp_HIST-SI to decrease the segmentation error rates. The goal of this research is to find a new technique to decrease the segmentation error rates and produce much better results than the HIST-SI technique. For testing the proposed technique, a dataset of Bhuvan – a National Geoportal developed and hosted by ISRO (Indian Space Research Organisation) is used. Experiments are conducted using Scikit-image & OpenCV tools of Python, and performance is evaluated and compared over various existing image segmentation techniques for several matrices, i.e., Mean Square Error (MSE) and Peak Signal Noise Ratio (PSNR). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=satellite%20image" title="satellite image">satellite image</a>, <a href="https://publications.waset.org/abstracts/search?q=image%20segmentation" title=" image segmentation"> image segmentation</a>, <a href="https://publications.waset.org/abstracts/search?q=edge%20detection" title=" edge detection"> edge detection</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20rate" title=" error rate"> error rate</a>, <a href="https://publications.waset.org/abstracts/search?q=MSE" title=" MSE"> MSE</a>, <a href="https://publications.waset.org/abstracts/search?q=PSNR" title=" PSNR"> PSNR</a>, <a href="https://publications.waset.org/abstracts/search?q=HIST-SI" title=" HIST-SI"> HIST-SI</a>, <a href="https://publications.waset.org/abstracts/search?q=linking" title=" linking"> linking</a>, <a href="https://publications.waset.org/abstracts/search?q=filtering" title=" filtering"> filtering</a>, <a href="https://publications.waset.org/abstracts/search?q=imp_HIST-SI" title=" imp_HIST-SI"> imp_HIST-SI</a> </p> <a href="https://publications.waset.org/abstracts/149905/imp-hist-si-improved-hybrid-image-segmentation-technique-for-satellite-imagery-to-decrease-the-segmentation-error-rate" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/149905.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">140</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2219</span> On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ivan%20Baravy">Ivan Baravy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Interpolation problem, as it was initially posed in terms of polynomials, is well researched. However, further mathematical developments extended it significantly. Trigonometric interpolation is widely used in Fourier analysis, while its generalized representation as exponential interpolation is applicable to such problem of mathematical physics as modelling of Ziegler-Biersack-Littmark repulsive interatomic potentials. Formulated for finite fields, this problem arises in decoding Reed--Solomon codes. This paper shows the relation between different interpretations of the problem through the class of matrices of special structure - Hankel matrices. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Berlekamp-Massey%20algorithm" title="Berlekamp-Massey algorithm">Berlekamp-Massey algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=exponential%20interpolation" title=" exponential interpolation"> exponential interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20fields" title=" finite fields"> finite fields</a>, <a href="https://publications.waset.org/abstracts/search?q=Hankel%20matrices" title=" Hankel matrices"> Hankel matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=Hankel%20polynomials" title=" Hankel polynomials"> Hankel polynomials</a> </p> <a href="https://publications.waset.org/abstracts/21861/on-hankel-matrices-approach-to-interpolation-problem-in-infinite-and-finite-fields" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21861.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">519</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2218</span> Development of a Model Based on Wavelets and Matrices for the Treatment of Weakly Singular Partial Integro-Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Somveer%20Singh">Somveer Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Vineet%20Kumar%20Singh"> Vineet Kumar Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present a new model based on viscoelasticity for the Non-Newtonian fluids.We use a matrix formulated algorithm to approximate solutions of a class of partial integro-differential equations with the given initial and boundary conditions. Some numerical results are presented to simplify application of operational matrix formulation and reduce the computational cost. Convergence analysis, error estimation and numerical stability of the method are also investigated. Finally, some test examples are given to demonstrate accuracy and efficiency of the proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Legendre%20Wavelets" title="Legendre Wavelets">Legendre Wavelets</a>, <a href="https://publications.waset.org/abstracts/search?q=operational%20matrices" title=" operational matrices"> operational matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=partial%20integro-differential%20equation" title=" partial integro-differential equation"> partial integro-differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=viscoelasticity" title=" viscoelasticity"> viscoelasticity</a> </p> <a href="https://publications.waset.org/abstracts/58007/development-of-a-model-based-on-wavelets-and-matrices-for-the-treatment-of-weakly-singular-partial-integro-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/58007.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">336</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2217</span> Applications of Probabilistic Interpolation via Orthogonal Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dariusz%20Jacek%20Jak%C3%B3bczak">Dariusz Jacek Jakóbczak</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mathematics and computer science are interested in methods of 2D curve interpolation and extrapolation using the set of key points (knots). A proposed method of Hurwitz- Radon Matrices (MHR) is such a method. This novel method is based on the family of Hurwitz-Radon (HR) matrices which possess columns composed of orthogonal vectors. Two-dimensional curve is interpolated via different functions as probability distribution functions: polynomial, sinus, cosine, tangent, cotangent, logarithm, exponent, arcsin, arccos, arctan, arcctg or power function, also inverse functions. It is shown how to build the orthogonal matrix operator and how to use it in a process of curve reconstruction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=2D%20data%20interpolation" title="2D data interpolation">2D data interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=hurwitz-radon%20matrices" title=" hurwitz-radon matrices"> hurwitz-radon matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=MHR%20method" title=" MHR method"> MHR method</a>, <a href="https://publications.waset.org/abstracts/search?q=probabilistic%20modeling" title=" probabilistic modeling"> probabilistic modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=curve%20extrapolation" title=" curve extrapolation"> curve extrapolation</a> </p> <a href="https://publications.waset.org/abstracts/32599/applications-of-probabilistic-interpolation-via-orthogonal-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32599.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">525</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2216</span> Application of Wavelet Based Approximation for the Solution of Partial Integro-Differential Equation Arising from Viscoelasticity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Somveer%20Singh">Somveer Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Vineet%20Kumar%20Singh"> Vineet Kumar Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work contributes a numerical method based on Legendre wavelet approximation for the treatment of partial integro-differential equation (PIDE). Operational matrices of Legendre wavelets reduce the solution of PIDE into the system of algebraic equations. Some useful results concerning the computational order of convergence and error estimates associated to the suggested scheme are presented. Illustrative examples are provided to show the effectiveness and accuracy of proposed numerical method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=legendre%20wavelets" title="legendre wavelets">legendre wavelets</a>, <a href="https://publications.waset.org/abstracts/search?q=operational%20matrices" title=" operational matrices"> operational matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=partial%20integro-differential%20equation" title=" partial integro-differential equation"> partial integro-differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=viscoelasticity" title=" viscoelasticity"> viscoelasticity</a> </p> <a href="https://publications.waset.org/abstracts/57515/application-of-wavelet-based-approximation-for-the-solution-of-partial-integro-differential-equation-arising-from-viscoelasticity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/57515.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">448</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2215</span> Comparative Study of Accuracy of Land Cover/Land Use Mapping Using Medium Resolution Satellite Imagery: A Case Study</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20C.%20Paliwal">M. C. Paliwal</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20K.%20Jain"> A. K. Jain</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20K.%20Katiyar"> S. K. Katiyar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Classification of satellite imagery is very important for the assessment of its accuracy. In order to determine the accuracy of the classified image, usually the assumed-true data are derived from ground truth data using Global Positioning System. The data collected from satellite imagery and ground truth data is then compared to find out the accuracy of data and error matrices are prepared. Overall and individual accuracies are calculated using different methods. The study illustrates advanced classification and accuracy assessment of land use/land cover mapping using satellite imagery. IRS-1C-LISS IV data were used for classification of satellite imagery. The satellite image was classified using the software in fourteen classes namely water bodies, agricultural fields, forest land, urban settlement, barren land and unclassified area etc. Classification of satellite imagery and calculation of accuracy was done by using ERDAS-Imagine software to find out the best method. This study is based on the data collected for Bhopal city boundaries of Madhya Pradesh State of India. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=resolution" title="resolution">resolution</a>, <a href="https://publications.waset.org/abstracts/search?q=accuracy%20assessment" title=" accuracy assessment"> accuracy assessment</a>, <a href="https://publications.waset.org/abstracts/search?q=land%20use%20mapping" title=" land use mapping"> land use mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=satellite%20imagery" title=" satellite imagery"> satellite imagery</a>, <a href="https://publications.waset.org/abstracts/search?q=ground%20truth%20data" title=" ground truth data"> ground truth data</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20matrices" title=" error matrices"> error matrices</a> </p> <a href="https://publications.waset.org/abstracts/13294/comparative-study-of-accuracy-of-land-coverland-use-mapping-using-medium-resolution-satellite-imagery-a-case-study" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13294.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">507</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2214</span> Effects of Manufacture and Assembly Errors on the Output Error of Globoidal Cam Mechanisms</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shuting%20Ji">Shuting Ji</a>, <a href="https://publications.waset.org/abstracts/search?q=Yueming%20Zhang"> Yueming Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jing%20Zhao"> Jing Zhao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The output error of the globoidal cam mechanism can be considered as a relevant indicator of mechanism performance, because it determines kinematic and dynamical behavior of mechanical transmission. Based on the differential geometry and the rigid body transformations, the mathematical model of surface geometry of the globoidal cam is established. Then we present the analytical expression of the output error (including the transmission error and the displacement error along the output axis) by considering different manufacture and assembly errors. The effects of the center distance error, the perpendicular error between input and output axes and the rotational angle error of the globoidal cam on the output error are systematically analyzed. A globoidal cam mechanism which is widely used in automatic tool changer of CNC machines is applied for illustration. Our results show that the perpendicular error and the rotational angle error have little effects on the transmission error but have great effects on the displacement error along the output axis. This study plays an important role in the design, manufacture and assembly of the globoidal cam mechanism. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=globoidal%20cam%20mechanism" title="globoidal cam mechanism">globoidal cam mechanism</a>, <a href="https://publications.waset.org/abstracts/search?q=manufacture%20error" title=" manufacture error"> manufacture error</a>, <a href="https://publications.waset.org/abstracts/search?q=transmission%20error" title=" transmission error"> transmission error</a>, <a href="https://publications.waset.org/abstracts/search?q=automatic%20tool%20changer" title=" automatic tool changer"> automatic tool changer</a> </p> <a href="https://publications.waset.org/abstracts/33472/effects-of-manufacture-and-assembly-errors-on-the-output-error-of-globoidal-cam-mechanisms" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33472.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">574</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2213</span> Effect of Steel Fibers on Flexural Behavior of Normal and High Strength Concrete</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=K.%20M.%20Aldossari">K. M. Aldossari</a>, <a href="https://publications.waset.org/abstracts/search?q=W.%20A.%20Elsaigh"> W. A. Elsaigh</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20J.%20Shannag"> M. J. Shannag</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An experimental study was conducted to investigate the effect of hooked-end steel fibers on the flexural behavior of normal and high strength concrete matrices. The fiber content appropriate for the concrete matrices investigated was also determined based on flexural tests on standard prisms. Parameters investigated include: Matrix compressive strength ranging from 45 MPa to 70 MPa, corresponding to normal and high strength concrete matrices respectively; Fiber volume fraction including 0, 0.5%, 0.76%, and 1%, equivalent to 0, 40, 60, and 80 kg/m3 of hooked-end steel fibers respectively. Test results indicated that flexural strength and toughness of normal and high strength concrete matrices were significantly improved with the increase in the fiber content added; Whereas a slight improvement in compressive strength was observed for the same matrices. Furthermore, the test results indicated that the effect of increasing the fiber content was more pronounced on increasing the flexural strength of high strength concrete than that of normal concrete. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=concrete" title="concrete">concrete</a>, <a href="https://publications.waset.org/abstracts/search?q=flexural%20strength" title=" flexural strength"> flexural strength</a>, <a href="https://publications.waset.org/abstracts/search?q=toughness" title=" toughness"> toughness</a>, <a href="https://publications.waset.org/abstracts/search?q=steel%20fibers" title=" steel fibers"> steel fibers</a> </p> <a href="https://publications.waset.org/abstracts/2834/effect-of-steel-fibers-on-flexural-behavior-of-normal-and-high-strength-concrete" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2834.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">494</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2212</span> The Norm, Singular Value and Condition Number Analysis for the Hadamard Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Emine%20Tu%C4%9Fba%20Aky%C3%BCz">Emine Tuğba Akyüz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the analysis of Hadamard matrices, which is a special type of matrix, was made under three headings: norms, singular values, condition number. Six norm types was applied to Hadamard matrices and the relationship between the results and the size of the matrix has been studied. As a result of the investigation when 2-norm was used on the problem Hx =f, the equation ‖x‖_2= ‖f‖_2/√n was shown (H is n-dimensional Hadamard matrix). Related with this, the relationship between the the singular value of H and 2-norm and eigenvalues was shown. Then, the evaluation of condition number for Hx =f was made. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=condition%20number" title="condition number">condition number</a>, <a href="https://publications.waset.org/abstracts/search?q=Hadamard%20matrix" title=" Hadamard matrix"> Hadamard matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=norm" title=" norm"> norm</a>, <a href="https://publications.waset.org/abstracts/search?q=singular%20value" title=" singular value"> singular value</a> </p> <a href="https://publications.waset.org/abstracts/9350/the-norm-singular-value-and-condition-number-analysis-for-the-hadamard-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9350.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">342</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2211</span> The Classification Performance in Parametric and Nonparametric Discriminant Analysis for a Class- Unbalanced Data of Diabetes Risk Groups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lily%20Ingsrisawang">Lily Ingsrisawang</a>, <a href="https://publications.waset.org/abstracts/search?q=Tasanee%20Nacharoen"> Tasanee Nacharoen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Introduction: The problems of unbalanced data sets generally appear in real world applications. Due to unequal class distribution, many research papers found that the performance of existing classifier tends to be biased towards the majority class. The k -nearest neighbors’ nonparametric discriminant analysis is one method that was proposed for classifying unbalanced classes with good performance. Hence, the methods of discriminant analysis are of interest to us in investigating misclassification error rates for class-imbalanced data of three diabetes risk groups. Objective: The purpose of this study was to compare the classification performance between parametric discriminant analysis and nonparametric discriminant analysis in a three-class classification application of class-imbalanced data of diabetes risk groups. Methods: Data from a healthy project for 599 staffs in a government hospital in Bangkok were obtained for the classification problem. The staffs were diagnosed into one of three diabetes risk groups: non-risk (90%), risk (5%), and diabetic (5%). The original data along with the variables; diabetes risk group, age, gender, cholesterol, and BMI was analyzed and bootstrapped up to 50 and 100 samples, 599 observations per sample, for additional estimation of misclassification error rate. Each data set was explored for the departure of multivariate normality and the equality of covariance matrices of the three risk groups. Both the original data and the bootstrap samples show non-normality and unequal covariance matrices. The parametric linear discriminant function, quadratic discriminant function, and the nonparametric k-nearest neighbors’ discriminant function were performed over 50 and 100 bootstrap samples and applied to the original data. In finding the optimal classification rule, the choices of prior probabilities were set up for both equal proportions (0.33: 0.33: 0.33) and unequal proportions with three choices of (0.90:0.05:0.05), (0.80: 0.10: 0.10) or (0.70, 0.15, 0.15). Results: The results from 50 and 100 bootstrap samples indicated that the k-nearest neighbors approach when k = 3 or k = 4 and the prior probabilities of {non-risk:risk:diabetic} as {0.90:0.05:0.05} or {0.80:0.10:0.10} gave the smallest error rate of misclassification. Conclusion: The k-nearest neighbors approach would be suggested for classifying a three-class-imbalanced data of diabetes risk groups. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=error%20rate" title="error rate">error rate</a>, <a href="https://publications.waset.org/abstracts/search?q=bootstrap" title=" bootstrap"> bootstrap</a>, <a href="https://publications.waset.org/abstracts/search?q=diabetes%20risk%20groups" title=" diabetes risk groups"> diabetes risk groups</a>, <a href="https://publications.waset.org/abstracts/search?q=k-nearest%20neighbors" title=" k-nearest neighbors "> k-nearest neighbors </a> </p> <a href="https://publications.waset.org/abstracts/23799/the-classification-performance-in-parametric-and-nonparametric-discriminant-analysis-for-a-class-unbalanced-data-of-diabetes-risk-groups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/23799.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">434</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2210</span> On Block Vandermonde Matrix Constructed from Matrix Polynomial Solvents</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Malika%20Yaici">Malika Yaici</a>, <a href="https://publications.waset.org/abstracts/search?q=Kamel%20Hariche"> Kamel Hariche</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In control engineering, systems described by matrix fractions are studied through properties of block roots, also called solvents. These solvents are usually dealt with in a block Vandermonde matrix form. Inverses and determinants of Vandermonde matrices and block Vandermonde matrices are used in solving problems of numerical analysis in many domains but require costly computations. Even though Vandermonde matrices are well known and method to compute inverse and determinants are many and, generally, based on interpolation techniques, methods to compute the inverse and determinant of a block Vandermonde matrix have not been well studied. In this paper, some properties of these matrices and iterative algorithms to compute the determinant and the inverse of a block Vandermonde matrix are given. These methods are deducted from the partitioned matrix inversion and determinant computing methods. Due to their great size, parallelization may be a solution to reduce the computations cost, so a parallelization of these algorithms is proposed and validated by a comparison using algorithmic complexity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=block%20vandermonde%20matrix" title="block vandermonde matrix">block vandermonde matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=solvents" title=" solvents"> solvents</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20polynomial" title=" matrix polynomial"> matrix polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20inverse" title=" matrix inverse"> matrix inverse</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20determinant" title=" matrix determinant"> matrix determinant</a>, <a href="https://publications.waset.org/abstracts/search?q=parallelization" title=" parallelization"> parallelization</a> </p> <a href="https://publications.waset.org/abstracts/89115/on-block-vandermonde-matrix-constructed-from-matrix-polynomial-solvents" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/89115.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">239</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2209</span> The Influence of Covariance Hankel Matrix Dimension on Algorithms for VARMA Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Celina%20Pestano-Gabino">Celina Pestano-Gabino</a>, <a href="https://publications.waset.org/abstracts/search?q=Concepcion%20Gonzalez-Concepcion"> Concepcion Gonzalez-Concepcion</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Candelaria%20Gil-Fari%C3%B1a"> M. Candelaria Gil-Fariña</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Some estimation methods for VARMA models, and Multivariate Time Series Models in general, rely on the use of a Hankel matrix. It is known that if the data sample is populous enough and the dimension of the Hankel matrix is unnecessarily large, this may result in an unnecessary number of computations as well as in numerical problems. In this sense, the aim of this paper is two-fold. First, we provide some theoretical results for these matrices which translate into a lower dimension for the matrices normally used in the algorithms. This contribution thus serves to improve those methods from a numerical and, presumably, statistical point of view. Second, we have chosen an estimation algorithm to illustrate in practice our improvements. The results we obtained in a simulation of VARMA models show that an increase in the size of the Hankel matrix beyond the theoretical bound proposed as valid does not necessarily lead to improved practical results. Therefore, for future research, we propose conducting similar studies using any of the linear system estimation methods that depend on Hankel matrices. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=covariances%20Hankel%20matrices" title="covariances Hankel matrices">covariances Hankel matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=Kronecker%20indices" title=" Kronecker indices"> Kronecker indices</a>, <a href="https://publications.waset.org/abstracts/search?q=system%20identification" title=" system identification"> system identification</a>, <a href="https://publications.waset.org/abstracts/search?q=VARMA%20models" title=" VARMA models"> VARMA models</a> </p> <a href="https://publications.waset.org/abstracts/55669/the-influence-of-covariance-hankel-matrix-dimension-on-algorithms-for-varma-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55669.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">243</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2208</span> Relevancy Measures of Errors in Displacements of Finite Elements Analysis Results</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20B.%20Bolkhir">A. B. Bolkhir</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Elshafie"> A. Elshafie</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20K.%20Yousif"> T. K. Yousif</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper highlights the methods of error estimation in finite element analysis (FEA) results. It indicates that the modeling error could be eliminated by performing finite element analysis with successively finer meshes or by extrapolating response predictions from an orderly sequence of relatively low degree of freedom analysis results. In addition, the paper eliminates the round-off error by running the code at a higher precision. The paper provides application in finite element analysis results. It draws a conclusion based on results of application of methods of error estimation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20analysis%20%28FEA%29" title="finite element analysis (FEA)">finite element analysis (FEA)</a>, <a href="https://publications.waset.org/abstracts/search?q=discretization%20error" title=" discretization error"> discretization error</a>, <a href="https://publications.waset.org/abstracts/search?q=round-off%20error" title=" round-off error"> round-off error</a>, <a href="https://publications.waset.org/abstracts/search?q=mesh%20refinement" title=" mesh refinement"> mesh refinement</a>, <a href="https://publications.waset.org/abstracts/search?q=richardson%20extrapolation" title=" richardson extrapolation"> richardson extrapolation</a>, <a href="https://publications.waset.org/abstracts/search?q=monotonic%20convergence" title=" monotonic convergence"> monotonic convergence</a> </p> <a href="https://publications.waset.org/abstracts/37639/relevancy-measures-of-errors-in-displacements-of-finite-elements-analysis-results" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37639.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">495</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2207</span> Calibration of the Radical Installation Limit Error of the Accelerometer in the Gravity Gradient Instrument</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Danni%20Cong">Danni Cong</a>, <a href="https://publications.waset.org/abstracts/search?q=Meiping%20Wu"> Meiping Wu</a>, <a href="https://publications.waset.org/abstracts/search?q=Xiaofeng%20He"> Xiaofeng He</a>, <a href="https://publications.waset.org/abstracts/search?q=Junxiang%20Lian"> Junxiang Lian</a>, <a href="https://publications.waset.org/abstracts/search?q=Juliang%20Cao"> Juliang Cao</a>, <a href="https://publications.waset.org/abstracts/search?q=Shaokuncai"> Shaokuncai</a>, <a href="https://publications.waset.org/abstracts/search?q=Hao%20Qin"> Hao Qin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Gravity gradient instrument (GGI) is the core of the gravity gradiometer, so the structural error of the sensor has a great impact on the measurement results. In order not to affect the aimed measurement accuracy, limit error is required in the installation of the accelerometer. In this paper, based on the established measuring principle model, the radial installation limit error is calibrated, which is taken as an example to provide a method to calculate the other limit error of the installation under the premise of ensuring the accuracy of the measurement result. This method provides the idea for deriving the limit error of the geometry structure of the sensor, laying the foundation for the mechanical precision design and physical design. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=gravity%20gradient%20sensor" title="gravity gradient sensor">gravity gradient sensor</a>, <a href="https://publications.waset.org/abstracts/search?q=radial%20installation%20limit%20error" title=" radial installation limit error"> radial installation limit error</a>, <a href="https://publications.waset.org/abstracts/search?q=accelerometer" title=" accelerometer"> accelerometer</a>, <a href="https://publications.waset.org/abstracts/search?q=uniaxial%20rotational%20modulation" title=" uniaxial rotational modulation"> uniaxial rotational modulation</a> </p> <a href="https://publications.waset.org/abstracts/75475/calibration-of-the-radical-installation-limit-error-of-the-accelerometer-in-the-gravity-gradient-instrument" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/75475.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">422</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2206</span> Buckling of Plates on Foundation with Different Types of Sides Support</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ali%20N.%20Suri">Ali N. Suri</a>, <a href="https://publications.waset.org/abstracts/search?q=Ahmad%20A.%20Al-Makhlufi"> Ahmad A. Al-Makhlufi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper the problem of buckling of plates on foundation of finite length and with different side support is studied. The Finite Strip Method is used as tool for the analysis. This method uses finite strip elastic, foundation, and geometric matrices to build the assembly matrices for the whole structure, then after introducing boundary conditions at supports, the resulting reduced matrices is transformed into a standard Eigenvalue-Eigenvector problem. The solution of this problem will enable the determination of the buckling load, the associated buckling modes and the buckling wave length. To carry out the buckling analysis starting from the elastic, foundation, and geometric stiffness matrices for each strip a computer program FORTRAN list is developed. Since stiffness matrices are function of wave length of buckling, the computer program used an iteration procedure to find the critical buckling stress for each value of foundation modulus and for each boundary condition. The results showed the use of elastic medium to support plates subject to axial load increase a great deal the buckling load, the results found are very close with those obtained by other analytical methods and experimental work. The results also showed that foundation compensates the effect of the weakness of some types of constraint of side support and maximum benefit found for plate with one side simply supported the other free. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=buckling" title="buckling">buckling</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20strip" title=" finite strip"> finite strip</a>, <a href="https://publications.waset.org/abstracts/search?q=different%20sides%20support" title=" different sides support"> different sides support</a>, <a href="https://publications.waset.org/abstracts/search?q=plates%20on%20foundation" title=" plates on foundation"> plates on foundation</a> </p> <a href="https://publications.waset.org/abstracts/1681/buckling-of-plates-on-foundation-with-different-types-of-sides-support" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1681.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">243</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2205</span> Numerical Solution for Integro-Differential Equations by Using Quartic B-Spline Wavelet and Operational Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Khosrow%20Maleknejad">Khosrow Maleknejad</a>, <a href="https://publications.waset.org/abstracts/search?q=Yaser%20Rostami"> Yaser Rostami</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, semi-orthogonal B-spline scaling functions and wavelets and their dual functions are presented to approximate the solutions of integro-differential equations.The B-spline scaling functions and wavelets, their properties and the operational matrices of derivative for this function are presented to reduce the solution of integro-differential equations to the solution of algebraic equations. Here we compute B-spline scaling functions of degree 4 and their dual, then we will show that by using them we have better approximation results for the solution of integro-differential equations in comparison with less degrees of scaling functions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=%C4%B1ntegro-differential%20equations" title="ıntegro-differential equations">ıntegro-differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=quartic%20B-spline%20wavelet" title=" quartic B-spline wavelet"> quartic B-spline wavelet</a>, <a href="https://publications.waset.org/abstracts/search?q=operational%20matrices" title=" operational matrices"> operational matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=dual%20functions" title=" dual functions"> dual functions</a> </p> <a href="https://publications.waset.org/abstracts/5002/numerical-solution-for-integro-differential-equations-by-using-quartic-b-spline-wavelet-and-operational-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5002.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">456</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2204</span> High Capacity Reversible Watermarking through Interpolated Error Shifting</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hae-Yeoun%20Lee">Hae-Yeoun Lee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Reversible watermarking that not only protects the copyright but also preserve the original quality of the digital content have been intensively studied. In particular, the demand for reversible watermarking has increased. In this paper, we propose a reversible watermarking scheme based on interpolation-error shifting and error precompensation. The intensity of a pixel is interpolated from the intensities of neighbouring pixels, and the difference histogram between the interpolated and the original intensities is obtained and modified to embed the watermark message. By restoring the difference histogram, the embedded watermark is extracted and the original image is recovered by compensating for the interpolation error. The overflow and underflow are prevented by error precompensation. To show the performance of the method, the proposed algorithm is compared with other methods using various test images. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reversible%20watermarking" title="reversible watermarking">reversible watermarking</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20capacity" title=" high capacity"> high capacity</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20quality" title=" high quality"> high quality</a>, <a href="https://publications.waset.org/abstracts/search?q=interpolated%20error%20shifting" title=" interpolated error shifting"> interpolated error shifting</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20precompensation" title=" error precompensation"> error precompensation</a> </p> <a href="https://publications.waset.org/abstracts/7023/high-capacity-reversible-watermarking-through-interpolated-error-shifting" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7023.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">321</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2203</span> The UAV Feasibility Trajectory Prediction Using Convolution Neural Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Adrien%20Marque">Adrien Marque</a>, <a href="https://publications.waset.org/abstracts/search?q=Daniel%20Delahaye"> Daniel Delahaye</a>, <a href="https://publications.waset.org/abstracts/search?q=Pierre%20Mar%C3%A9chal"> Pierre Maréchal</a>, <a href="https://publications.waset.org/abstracts/search?q=Isabelle%20Berry"> Isabelle Berry</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Wind direction and uncertainty are crucial in aircraft or unmanned aerial vehicle trajectories. By computing wind covariance matrices on each spatial grid point, these spatial grids can be defined as images with symmetric positive definite matrix elements. A data pre-processing step, a specific convolution, a specific max-pooling, and a specific flatten layers are implemented to process such images. Then, the neural network is applied to spatial grids, whose elements are wind covariance matrices, to solve classification problems related to the feasibility of unmanned aerial vehicles based on wind direction and wind uncertainty. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=wind%20direction" title="wind direction">wind direction</a>, <a href="https://publications.waset.org/abstracts/search?q=uncertainty%20level" title=" uncertainty level"> uncertainty level</a>, <a href="https://publications.waset.org/abstracts/search?q=unmanned%20aerial%20vehicle" title=" unmanned aerial vehicle"> unmanned aerial vehicle</a>, <a href="https://publications.waset.org/abstracts/search?q=convolution%20neural%20network" title=" convolution neural network"> convolution neural network</a>, <a href="https://publications.waset.org/abstracts/search?q=SPD%20matrices" title=" SPD matrices"> SPD matrices</a> </p> <a href="https://publications.waset.org/abstracts/188367/the-uav-feasibility-trajectory-prediction-using-convolution-neural-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/188367.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">49</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2202</span> Grating Scale Thermal Expansion Error Compensation for Large Machine Tools Based on Multiple Temperature Detection</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wenlong%20Feng">Wenlong Feng</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhenchun%20Du"> Zhenchun Du</a>, <a href="https://publications.waset.org/abstracts/search?q=Jianguo%20Yang"> Jianguo Yang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> To decrease the grating scale thermal expansion error, a novel method which based on multiple temperature detections is proposed. Several temperature sensors are installed on the grating scale and the temperatures of these sensors are recorded. The temperatures of every point on the grating scale are calculated by interpolating between adjacent sensors. According to the thermal expansion principle, the grating scale thermal expansion error model can be established by doing the integral for the variations of position and temperature. A novel compensation method is proposed in this paper. By applying the established error model, the grating scale thermal expansion error is decreased by 90% compared with no compensation. The residual positioning error of the grating scale is less than 15um/10m and the accuracy of the machine tool is significant improved. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=thermal%20expansion%20error%20of%20grating%20scale" title="thermal expansion error of grating scale">thermal expansion error of grating scale</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20compensation" title=" error compensation"> error compensation</a>, <a href="https://publications.waset.org/abstracts/search?q=machine%20tools" title=" machine tools"> machine tools</a>, <a href="https://publications.waset.org/abstracts/search?q=integral%20method" title=" integral method"> integral method</a> </p> <a href="https://publications.waset.org/abstracts/34355/grating-scale-thermal-expansion-error-compensation-for-large-machine-tools-based-on-multiple-temperature-detection" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34355.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">365</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2201</span> A Hybrid Classical-Quantum Algorithm for Boundary Integral Equations of Scattering Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Damir%20Latypov">Damir Latypov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A hybrid classical-quantum algorithm to solve boundary integral equations (BIE) arising in problems of electromagnetic and acoustic scattering is proposed. The quantum speed-up is due to a Quantum Linear System Algorithm (QLSA). The original QLSA of Harrow et al. provides an exponential speed-up over the best-known classical algorithms but only in the case of sparse systems. Due to the non-local nature of integral operators, matrices arising from discretization of BIEs, are, however, dense. A QLSA for dense matrices was introduced in 2017. Its runtime as function of the system's size N is bounded by O(√Npolylog(N)). The run time of the best-known classical algorithm for an arbitrary dense matrix scales as O(N².³⁷³). Instead of exponential as in case of sparse matrices, here we have only a polynomial speed-up. Nevertheless, sufficiently high power of this polynomial, ~4.7, should make QLSA an appealing alternative. Unfortunately for the QLSA, the asymptotic separability of the Green's function leads to high compressibility of the BIEs matrices. Classical fast algorithms such as Multilevel Fast Multipole Method (MLFMM) take advantage of this fact and reduce the runtime to O(Nlog(N)), i.e., the QLSA is only quadratically faster than the MLFMM. To be truly impactful for computational electromagnetics and acoustics engineers, QLSA must provide more substantial advantage than that. We propose a computational scheme which combines elements of the classical fast algorithms with the QLSA to achieve the required performance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantum%20linear%20system%20algorithm" title="quantum linear system algorithm">quantum linear system algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20integral%20equations" title=" boundary integral equations"> boundary integral equations</a>, <a href="https://publications.waset.org/abstracts/search?q=dense%20matrices" title=" dense matrices"> dense matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=electromagnetic%20scattering%20theory" title=" electromagnetic scattering theory"> electromagnetic scattering theory</a> </p> <a href="https://publications.waset.org/abstracts/130056/a-hybrid-classical-quantum-algorithm-for-boundary-integral-equations-of-scattering-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/130056.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">154</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2200</span> Using Derivative Free Method to Improve the Error Estimation of Numerical Quadrature</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Chin-Yun%20Chen">Chin-Yun Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerical integration is an essential tool for deriving different physical quantities in engineering and science. The effectiveness of a numerical integrator depends on different factors, where the crucial one is the error estimation. This work presents an error estimator that combines a derivative free method to improve the performance of verified numerical quadrature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=numerical%20quadrature" title="numerical quadrature">numerical quadrature</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20estimation" title=" error estimation"> error estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=derivative%20free%20method" title=" derivative free method"> derivative free method</a>, <a href="https://publications.waset.org/abstracts/search?q=interval%20computation" title=" interval computation "> interval computation </a> </p> <a href="https://publications.waset.org/abstracts/17210/using-derivative-free-method-to-improve-the-error-estimation-of-numerical-quadrature" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17210.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">463</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2199</span> Medical Error: Concept and Description According to Brazilian Physicians</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vitor%20S.%20Mendonca">Vitor S. Mendonca</a>, <a href="https://publications.waset.org/abstracts/search?q=Maria%20Luisa%20S.%20Schmidt"> Maria Luisa S. Schmidt</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Brazilian medical profession is viewed as being error-free, so healthcare professionals who commit an error are condemned there. Medical errors occur frequently in the Brazilian healthcare system, so identifying better options for handling this issue has become of interest primarily for physicians. The purpose of this study is to better understand the tensions involved in the fear of making an error due to the harm and risk this would represent for those involved. A qualitative study was performed by means of the narratives of the lived experiences of ten acting physicians in the State of Sao Paulo. The concept and characterization of errors were discussed, together with the fear of making an error, the near misses or error in itself, how to deal with errors and what to do to avoid them. The analysis indicates an excessive pressure in the medical profession for error-free practices, with a well-established physician-patient relationship to facilitate the management of medical errors. The error occurs, but a lack of information and discussion often leads to its concealment due to fear or possible judgment by society or peers. The establishment of programs that encourage appropriate medical conduct in the event of an error requires coherent answers for humanization in Brazilian medical science. It is necessary to improve the discussion about medical errors and disseminate models of communication and notification of errors in Brazil. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=medical%20error" title="medical error">medical error</a>, <a href="https://publications.waset.org/abstracts/search?q=narrative" title=" narrative"> narrative</a>, <a href="https://publications.waset.org/abstracts/search?q=physician-patient%20relationship" title=" physician-patient relationship"> physician-patient relationship</a>, <a href="https://publications.waset.org/abstracts/search?q=qualitative%20research" title=" qualitative research"> qualitative research</a> </p> <a href="https://publications.waset.org/abstracts/102416/medical-error-concept-and-description-according-to-brazilian-physicians" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/102416.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">178</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2198</span> Structural Damage Detection via Incomplete Model Data Using Output Data Only</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmed%20Noor%20Al-qayyim">Ahmed Noor Al-qayyim</a>, <a href="https://publications.waset.org/abstracts/search?q=Barlas%20%C3%96zden%20%C3%87a%C4%9Flayan"> Barlas Özden Çağlayan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Structural failure is caused mainly by damage that often occurs on structures. Many researchers focus on obtaining very efficient tools to detect the damage in structures in the early state. In the past decades, a subject that has received considerable attention in literature is the damage detection as determined by variations in the dynamic characteristics or response of structures. This study presents a new damage identification technique. The technique detects the damage location for the incomplete structure system using output data only. The method indicates the damage based on the free vibration test data by using “Two Points - Condensation (TPC) technique”. This method creates a set of matrices by reducing the structural system to two degrees of freedom systems. The current stiffness matrices are obtained from optimization of the equation of motion using the measured test data. The current stiffness matrices are compared with original (undamaged) stiffness matrices. High percentage changes in matrices’ coefficients lead to the location of the damage. TPC technique is applied to the experimental data of a simply supported steel beam model structure after inducing thickness change in one element. Where two cases are considered, the method detects the damage and determines its location accurately in both cases. In addition, the results illustrate that these changes in stiffness matrix can be a useful tool for continuous monitoring of structural safety using ambient vibration data. Furthermore, its efficiency proves that this technique can also be used for big structures. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=damage%20detection" title="damage detection">damage detection</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=signals%20processing" title=" signals processing"> signals processing</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20health%20monitoring" title=" structural health monitoring"> structural health monitoring</a>, <a href="https://publications.waset.org/abstracts/search?q=two%20points%E2%80%93condensation" title=" two points–condensation"> two points–condensation</a> </p> <a href="https://publications.waset.org/abstracts/37035/structural-damage-detection-via-incomplete-model-data-using-output-data-only" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37035.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">365</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2197</span> The Effects of a Thin Liquid Layer on the Hydrodynamic Machine Rotor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jaroslav%20Krutil">Jaroslav Krutil</a>, <a href="https://publications.waset.org/abstracts/search?q=Franti%C5%A1ek%20Pochyl%C3%BD"> František Pochylý</a>, <a href="https://publications.waset.org/abstracts/search?q=Simona%20Fialov%C3%A1"> Simona Fialová</a>, <a href="https://publications.waset.org/abstracts/search?q=Vladim%C3%ADr%20Hab%C3%A1n"> Vladimír Habán</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A mathematical model of the additional effects of the liquid in the hydrodynamic gap is presented in the paper. An in-compressible viscous fluid is considered. Based on computational modeling are determined the matrices of mass, stiffness and damping. The mathematical model is experimentally verified. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=computational%20modeling" title="computational modeling">computational modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title=" mathematical model"> mathematical model</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrodynamic%20gap" title=" hydrodynamic gap"> hydrodynamic gap</a>, <a href="https://publications.waset.org/abstracts/search?q=matrices%20of%20mass" title=" matrices of mass"> matrices of mass</a>, <a href="https://publications.waset.org/abstracts/search?q=stiffness%20and%20damping" title=" stiffness and damping"> stiffness and damping</a> </p> <a href="https://publications.waset.org/abstracts/22442/the-effects-of-a-thin-liquid-layer-on-the-hydrodynamic-machine-rotor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22442.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">557</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2196</span> Stochastic Matrices and Lp Norms for Ill-Conditioned Linear Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Riadh%20Zorgati">Riadh Zorgati</a>, <a href="https://publications.waset.org/abstracts/search?q=Thomas%20Triboulet"> Thomas Triboulet</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In quite diverse application areas such as astronomy, medical imaging, geophysics or nondestructive evaluation, many problems related to calibration, fitting or estimation of a large number of input parameters of a model from a small amount of output noisy data, can be cast as inverse problems. Due to noisy data corruption, insufficient data and model errors, most inverse problems are ill-posed in a Hadamard sense, i.e. existence, uniqueness and stability of the solution are not guaranteed. A wide class of inverse problems in physics relates to the Fredholm equation of the first kind. The ill-posedness of such inverse problem results, after discretization, in a very ill-conditioned linear system of equations, the condition number of the associated matrix can typically range from 109 to 1018. This condition number plays the role of an amplifier of uncertainties on data during inversion and then, renders the inverse problem difficult to handle numerically. Similar problems appear in other areas such as numerical optimization when using interior points algorithms for solving linear programs leads to face ill-conditioned systems of linear equations. Devising efficient solution approaches for such system of equations is therefore of great practical interest. Efficient iterative algorithms are proposed for solving a system of linear equations. The approach is based on a preconditioning of the initial matrix of the system with an approximation of a generalized inverse leading to a stochastic preconditioned matrix. This approach, valid for non-negative matrices, is first extended to hermitian, semi-definite positive matrices and then generalized to any complex rectangular matrices. The main results obtained are as follows: 1) We are able to build a generalized inverse of any complex rectangular matrix which satisfies the convergence condition requested in iterative algorithms for solving a system of linear equations. This completes the (short) list of generalized inverse having this property, after Kaczmarz and Cimmino matrices. Theoretical results on both the characterization of the type of generalized inverse obtained and the convergence are derived. 2) Thanks to its properties, this matrix can be efficiently used in different solving schemes as Richardson-Tanabe or preconditioned conjugate gradients. 3) By using Lp norms, we propose generalized Kaczmarz’s type matrices. We also show how Cimmino's matrix can be considered as a particular case consisting in choosing the Euclidian norm in an asymmetrical structure. 4) Regarding numerical results obtained on some pathological well-known test-cases (Hilbert, Nakasaka, …), some of the proposed algorithms are empirically shown to be more efficient on ill-conditioned problems and more robust to error propagation than the known classical techniques we have tested (Gauss, Moore-Penrose inverse, minimum residue, conjugate gradients, Kaczmarz, Cimmino). We end on a very early prospective application of our approach based on stochastic matrices aiming at computing some parameters (such as the extreme values, the mean, the variance, …) of the solution of a linear system prior to its resolution. Such an approach, if it were to be efficient, would be a source of information on the solution of a system of linear equations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=conditioning" title="conditioning">conditioning</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20inverse" title=" generalized inverse"> generalized inverse</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20system" title=" linear system"> linear system</a>, <a href="https://publications.waset.org/abstracts/search?q=norms" title=" norms"> norms</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20matrix" title=" stochastic matrix"> stochastic matrix</a> </p> <a href="https://publications.waset.org/abstracts/110567/stochastic-matrices-and-lp-norms-for-ill-conditioned-linear-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/110567.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">135</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=error%20matrices&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=error%20matrices&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=error%20matrices&page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=error%20matrices&page=5">5</a></li> <li class="page-item"><a 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