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matrix</title> <meta name="description" content="Search results for: nilpotent matrix"> <meta name="keywords" content="nilpotent matrix"> <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 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="nilpotent matrix"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 2224</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: nilpotent matrix</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2224</span> Several Spectrally Non-Arbitrary Ray Patterns of Order 4</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ling%20Zhang">Ling Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Feng%20Liu"> Feng Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A matrix is called a ray pattern matrix if its entries are either 0 or a ray in complex plane which originates from 0. A ray pattern <em>A </em>of order <em>n </em>is called spectrally arbitrary if the complex matrices in the ray pattern class of <em>A</em> give rise to all possible <em>n</em>th degree complex polynomial. Otherwise, it is said to be spectrally non-arbitrary ray pattern<em>.</em> We call that a spectrally arbitrary ray pattern <em>A </em>of order <em>n </em>is minimally spectrally arbitrary if any nonzero entry of <em>A</em> is replaced, then <em>A </em>is not spectrally arbitrary. In this paper, we find that is not spectrally arbitrary when n equals to 4 for any θ which is greater than or equal to 0 and less than or equal to n. In this article, we give several ray patterns A(θ) of order n that are not spectrally arbitrary for some θ which is greater than or equal to 0 and less than or equal to n. by using the nilpotent-Jacobi method. One example is given in our paper. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=spectrally%20arbitrary" title="spectrally arbitrary">spectrally arbitrary</a>, <a href="https://publications.waset.org/abstracts/search?q=nilpotent%20matrix" title=" nilpotent matrix "> nilpotent matrix </a>, <a href="https://publications.waset.org/abstracts/search?q=ray%20patterns" title=" ray patterns"> ray patterns</a>, <a href="https://publications.waset.org/abstracts/search?q=sign%20patterns" title=" sign patterns"> sign patterns</a> </p> <a href="https://publications.waset.org/abstracts/108116/several-spectrally-non-arbitrary-ray-patterns-of-order-4" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/108116.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">184</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> Stability of Property (gm) under Perturbation and Spectral Properties Type Weyl Theorems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20H.%20M.%20Rashid">M. H. M. Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A Banach space operator T obeys property (gm) if the isolated points of the spectrum σ(T) of T which are eigenvalues are exactly those points λ of the spectrum for which T − λI is a left Drazin invertible. In this article, we study the stability of property (gm), for a bounded operator acting on a Banach space, under perturbation by finite rank operators, by nilpotent operators, by quasi-nilpotent operators, or more generally by algebraic operators commuting with T. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Weyl%27s%20Theorem" title="Weyl's Theorem">Weyl's Theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=Weyl%20Spectrum" title=" Weyl Spectrum"> Weyl Spectrum</a>, <a href="https://publications.waset.org/abstracts/search?q=Polaroid%20operators" title=" Polaroid operators"> Polaroid operators</a>, <a href="https://publications.waset.org/abstracts/search?q=property%20%28gm%29" title=" property (gm)"> property (gm)</a> </p> <a href="https://publications.waset.org/abstracts/102478/stability-of-property-gm-under-perturbation-and-spectral-properties-type-weyl-theorems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/102478.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">2222</span> The Weights of Distinguished sl2-Subalgebras in Dn</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yassir%20I.%20Dinar">Yassir I. Dinar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We computed the weights of the adjoint action of distinguished sl2-triples in Lie algebra of type Dn using mathematical induction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=lie%20algebra" title="lie algebra">lie algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=root%20systems" title=" root systems"> root systems</a>, <a href="https://publications.waset.org/abstracts/search?q=representation%20theory" title=" representation theory"> representation theory</a>, <a href="https://publications.waset.org/abstracts/search?q=nilpotent%20orbits" title=" nilpotent orbits"> nilpotent orbits</a> </p> <a href="https://publications.waset.org/abstracts/41148/the-weights-of-distinguished-sl2-subalgebras-in-dn" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41148.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">294</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> The Second Smallest Eigenvalue of Complete Tripartite Hypergraph</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alfi%20Y.%20Zakiyyah">Alfi Y. Zakiyyah</a>, <a href="https://publications.waset.org/abstracts/search?q=Hanni%20Garminia"> Hanni Garminia</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Salman"> M. Salman</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20N.%20Irawati"> A. N. Irawati</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the terminology of the hypergraph, there is a relation with the terminology graph. In the theory of graph, the edges connected two vertices. In otherwise, in hypergraph, the edges can connect more than two vertices. There is representation matrix of a graph such as adjacency matrix, Laplacian matrix, and incidence matrix. The adjacency matrix is symmetry matrix so that all eigenvalues is real. This matrix is a nonnegative matrix. The all diagonal entry from adjacency matrix is zero so that the trace is zero. Another representation matrix of the graph is the Laplacian matrix. Laplacian matrix is symmetry matrix and semidefinite positive so that all eigenvalues are real and non-negative. According to the spectral study in the graph, some that result is generalized to hypergraph. A hypergraph can be represented by a matrix such as adjacency, incidence, and Laplacian matrix. Throughout for this term, we use Laplacian matrix to represent a complete tripartite hypergraph. The aim from this research is to determine second smallest eigenvalues from this matrix and find a relation this eigenvalue with the connectivity of that hypergraph. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=connectivity" title="connectivity">connectivity</a>, <a href="https://publications.waset.org/abstracts/search?q=graph" title=" graph"> graph</a>, <a href="https://publications.waset.org/abstracts/search?q=hypergraph" title=" hypergraph"> hypergraph</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplacian%20matrix" title=" Laplacian matrix"> Laplacian matrix</a> </p> <a href="https://publications.waset.org/abstracts/34000/the-second-smallest-eigenvalue-of-complete-tripartite-hypergraph" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34000.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">488</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> 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">2219</span> Manufacturing and Characterization of Ni-Matrix Composite Reinforced with Ti3SiC2 and Ti2AlC; and Al-Matrix with Ti2SiC</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Hadji">M. Hadji</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Chiker"> N. Chiker</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Hadji"> Y. Hadji</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Haddad"> A. Haddad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we report for the first time on the synthesis and characterization of novel MAX phases (Ti3SiC2, Ti2AlC) reinforced Ni-matrix and Ti2AlC reinforced Al-matrix. The stability of MAX phases in Al-matrix and Ni-matrix at a temperature of 985°C has been investigated. All the composites were cold pressed and sintered at a temperature of 985°C for 20min in H2 environment, except (Ni/Ti3SiC2) who was sintered at 1100°C for 1h.Microstructure analysis by scanning electron microscopy and phase analysis by X-Ray diffraction confirmed that there was minimal interfacial reaction between MAX particles and Ni, thus Al/MAX samples shown that MAX phases was totally decomposed at 985°C.The Addition of MAX enhanced the Al-matrix and Ni-matrix. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=MAX%20phase" title="MAX phase">MAX phase</a>, <a href="https://publications.waset.org/abstracts/search?q=microstructures" title=" microstructures"> microstructures</a>, <a href="https://publications.waset.org/abstracts/search?q=composites" title=" composites"> composites</a>, <a href="https://publications.waset.org/abstracts/search?q=hardness" title=" hardness"> hardness</a>, <a href="https://publications.waset.org/abstracts/search?q=SEM" title=" SEM"> SEM</a> </p> <a href="https://publications.waset.org/abstracts/40223/manufacturing-and-characterization-of-ni-matrix-composite-reinforced-with-ti3sic2-and-ti2alc-and-al-matrix-with-ti2sic" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40223.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">347</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> Inverse Matrix in the Theory of Dynamical Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Renata%20Masarova">Renata Masarova</a>, <a href="https://publications.waset.org/abstracts/search?q=Bohuslava%20Juhasova"> Bohuslava Juhasova</a>, <a href="https://publications.waset.org/abstracts/search?q=Martin%20Juhas"> Martin Juhas</a>, <a href="https://publications.waset.org/abstracts/search?q=Zuzana%20Sutova"> Zuzana Sutova</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In dynamic system theory a mathematical model is often used to describe their properties. In order to find a transfer matrix of a dynamic system we need to calculate an inverse matrix. The paper contains the fusion of the classical theory and the procedures used in the theory of automated control for calculating the inverse matrix. The final part of the paper models the given problem by the Matlab. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20system" title="dynamic system">dynamic system</a>, <a href="https://publications.waset.org/abstracts/search?q=transfer%20matrix" title=" transfer matrix"> transfer matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=inverse%20matrix" title=" inverse matrix"> inverse matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=modeling" title=" modeling "> modeling </a> </p> <a href="https://publications.waset.org/abstracts/22680/inverse-matrix-in-the-theory-of-dynamical-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22680.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">516</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> On the Application of Heuristics of the Traveling Salesman Problem for the Task of Restoring the DNA Matrix</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Boris%20Melnikov">Boris Melnikov</a>, <a href="https://publications.waset.org/abstracts/search?q=Dmitrii%20Chaikovskii"> Dmitrii Chaikovskii</a>, <a href="https://publications.waset.org/abstracts/search?q=Elena%20Melnikova"> Elena Melnikova</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The traveling salesman problem (TSP) is a well-known optimization problem that seeks to find the shortest possible route that visits a set of points and returns to the starting point. In this paper, we apply some heuristics of the TSP for the task of restoring the DNA matrix. This restoration problem is often considered in biocybernetics. For it, we must recover the matrix of distances between DNA sequences if not all the elements of the matrix under consideration are known at the input. We consider the possibility of using this method in the testing of distance calculation algorithms between a pair of DNAs to restore the partially filled matrix. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=optimization%20problems" title="optimization problems">optimization problems</a>, <a href="https://publications.waset.org/abstracts/search?q=DNA%20matrix" title=" DNA matrix"> DNA matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=partially%20filled%20matrix" title=" partially filled matrix"> partially filled matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=traveling%20salesman%20problem" title=" traveling salesman problem"> traveling salesman problem</a>, <a href="https://publications.waset.org/abstracts/search?q=heuristic%20algorithms" title=" heuristic algorithms"> heuristic algorithms</a> </p> <a href="https://publications.waset.org/abstracts/172868/on-the-application-of-heuristics-of-the-traveling-salesman-problem-for-the-task-of-restoring-the-dna-matrix" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/172868.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">150</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> 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">240</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> On Direct Matrix Factored Inversion via Broyden's Updates</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Adel%20Mohsen">Adel Mohsen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A direct method based on the good Broyden's updates for evaluating the inverse of a nonsingular square matrix of full rank and solving related system of linear algebraic equations is studied. For a matrix A of order n whose LU-decomposition is A = LU, the multiplication count is O (n3). This includes the evaluation of the LU-decompositions of the inverse, the lower triangular decomposition of A as well as a “reduced matrix inverse”. If an explicit value of the inverse is not needed the order reduces to O (n3/2) to compute to compute inv(U) and the reduced inverse. For a symmetric matrix only O (n3/3) operations are required to compute inv(L) and the reduced inverse. An example is presented to demonstrate the capability of using the reduced matrix inverse in treating ill-conditioned systems. Besides the simplicity of Broyden's update, the method provides a mean to exploit the possible sparsity in the matrix and to derive a suitable preconditioner. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Broyden%27s%20updates" title="Broyden's updates">Broyden's updates</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=inverse%20factorization" title=" inverse factorization"> inverse factorization</a>, <a href="https://publications.waset.org/abstracts/search?q=solution%20of%20linear%20algebraic%20equations" title=" solution of linear algebraic equations"> solution of linear algebraic equations</a>, <a href="https://publications.waset.org/abstracts/search?q=ill-conditioned%20matrices" title=" ill-conditioned matrices"> ill-conditioned matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=preconditioning" title=" preconditioning"> preconditioning</a> </p> <a href="https://publications.waset.org/abstracts/22126/on-direct-matrix-factored-inversion-via-broydens-updates" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22126.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">479</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> A Review on Aluminium Metal Matric Composites</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=V.%20Singh">V. Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Singh"> S. Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20S.%20Garewal"> S. S. Garewal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Metal matrix composites with aluminum as the matrix material have been heralded as the next great development in advanced engineering materials. Aluminum metal matrix composites (AMMC) refer to the class of light weight high performance material systems. Properties of AMMCs can be tailored to the demands of different industrial applications by suitable combinations of matrix, reinforcement and processing route. AMMC finds its application in automotive, aerospace, defense, sports and structural areas. This paper presents an overview of AMMC material systems on aspects relating to processing, types and applications with case studies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aluminum%20metal%20matrix%20composites" title="aluminum metal matrix composites">aluminum metal matrix composites</a>, <a href="https://publications.waset.org/abstracts/search?q=applications%20of%20aluminum%20metal%20matrix%20composites" title=" applications of aluminum metal matrix composites"> applications of aluminum metal matrix composites</a>, <a href="https://publications.waset.org/abstracts/search?q=lighting%20material%20processing%20of%20aluminum%20metal%20matrix%20composites" title=" lighting material processing of aluminum metal matrix composites"> lighting material processing of aluminum metal matrix composites</a> </p> <a href="https://publications.waset.org/abstracts/62849/a-review-on-aluminium-metal-matric-composites" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/62849.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">465</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> Numerical Simulation of Effect of Various Rib Configurations on Enhancing Heat Transfer of Matrix Cooling Channel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seok%20Min%20Choi">Seok Min Choi</a>, <a href="https://publications.waset.org/abstracts/search?q=Minho%20Bang"> Minho Bang</a>, <a href="https://publications.waset.org/abstracts/search?q=Seuong%20Yun%20Kim"> Seuong Yun Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Hyungmin%20Lee"> Hyungmin Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Won-Gu%20Joo"> Won-Gu Joo</a>, <a href="https://publications.waset.org/abstracts/search?q=Hyung%20Hee%20Cho"> Hyung Hee Cho</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The matrix cooling channel was used for gas turbine blade cooling passage. The matrix cooling structure is useful for the structure stability however the cooling performance of internal cooling channel was not enough for cooling. Therefore, we designed the rib configurations in the matrix cooling channel to enhance the cooling performance. The numerical simulation was conducted to analyze cooling performance of rib configured matrix cooling channel. Three different rib configurations were used which are vertical rib, angled rib and c-type rib. Three configurations were adopted in two positions of matrix cooling channel which is one fourth and three fourth of channel. The result shows that downstream rib has much higher cooling performance than upstream rib. Furthermore, the angled rib in the channel has much higher cooling performance than vertical rib. This is because; the angled rib improves the swirl effect of matrix cooling channel more effectively. The friction factor was increased with the installation of rib. However, the thermal performance was increased with the installation of rib in the matrix cooling channel. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=matrix%20cooling" title="matrix cooling">matrix cooling</a>, <a href="https://publications.waset.org/abstracts/search?q=rib" title=" rib"> rib</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=gas%20turbine" title=" gas turbine"> gas turbine</a> </p> <a href="https://publications.waset.org/abstracts/80524/numerical-simulation-of-effect-of-various-rib-configurations-on-enhancing-heat-transfer-of-matrix-cooling-channel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80524.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">460</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> Parallel Computation of the Covariance-Matrix</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Claude%20Tadonki">Claude Tadonki</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We address the issues related to the computation of the covariance matrix. This matrix is likely to be ill conditioned following its canonical expression, thus consequently raises serious numerical issues. The underlying linear system, which therefore should be solved by means of iterative approaches, becomes computationally challenging. A huge number of iterations is expected in order to reach an acceptable level of convergence, necessary to meet the required accuracy of the computation. In addition, this linear system needs to be solved at each iteration following the general form of the covariance matrix. Putting all together, its comes that we need to compute as fast as possible the associated matrix-vector product. This is our purpose in the work, where we consider and discuss skillful formulations of the problem, then propose a parallel implementation of the matrix-vector product involved. Numerical and performance oriented discussions are provided based on experimental evaluations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=covariance-matrix" title="covariance-matrix">covariance-matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=multicore" title=" multicore"> multicore</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20computing" title=" numerical computing"> numerical computing</a>, <a href="https://publications.waset.org/abstracts/search?q=parallel%20computing" title=" parallel computing"> parallel computing</a> </p> <a href="https://publications.waset.org/abstracts/59579/parallel-computation-of-the-covariance-matrix" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59579.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">312</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> On the Girth of the Regular Digraph of Ideals of a ‎Commutative ‎Ring</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Masoud%20Karimi">Masoud Karimi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> ‎Let R be a commutative ring‎. ‎The regular digraph of ideals of R, which is denoted by‎ Γ(R)‎, ‎is a digraph whose vertex-set is the set of all ‎non-‎trivial ideals of R and‎, ‎for every‎ two distinct vertices I and J‎, ‎there is an arc from I to J‎, ‎whenever I contains‎ a non-zero-divisor on J. In this article, ‎we ‎show ‎that an indecomposable ‎Noetherian ring ‎‎‎R ‎is ‎Artinian ‎local ‎if ‎and ‎only ‎if Z(I)=Z(R) ‎for ‎every ‎non-nilpotent ‎ideal ‎‎‎I‎. ‎Then ‎we ‎conclude ‎that ‎‎the ‎girth ‎of‎ Γ(R)‎ ‎is ‎not ‎equal ‎to ‎four. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=commutative%20ring%E2%80%8E" title="commutative ring‎">commutative ring‎</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8Egirth%E2%80%8E" title=" ‎girth‎"> ‎girth‎</a>, <a href="https://publications.waset.org/abstracts/search?q=regular%20digraph%E2%80%8E" title=" regular digraph‎"> regular digraph‎</a>, <a href="https://publications.waset.org/abstracts/search?q=zero-divisor" title=" zero-divisor"> zero-divisor</a> </p> <a href="https://publications.waset.org/abstracts/14244/on-the-girth-of-the-regular-digraph-of-ideals-of-a-commutative-ring" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14244.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">279</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> Texture Analysis of Grayscale Co-Occurrence Matrix on Mammographic Indexed Image</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Sushma">S. Sushma</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Balasubramanian"> S. Balasubramanian</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20C.%20Latha"> K. C. Latha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The mammographic image of breast cancer compressed and synthesized to get co-efficient values which will be converted (5x5) matrix to get ROI image where we get the highest value of effected region and with the same ideology the technique has been extended to differentiate between Calcification and normal cell image using mean value derived from 5x5 matrix values <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=texture%20analysis" title="texture analysis">texture analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=mammographic%20image" title=" mammographic image"> mammographic image</a>, <a href="https://publications.waset.org/abstracts/search?q=partitioned%20gray%20scale%20co-oocurance%20matrix" title=" partitioned gray scale co-oocurance matrix"> partitioned gray scale co-oocurance matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=co-efficient" title=" co-efficient "> co-efficient </a> </p> <a href="https://publications.waset.org/abstracts/17516/texture-analysis-of-grayscale-co-occurrence-matrix-on-mammographic-indexed-image" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17516.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">533</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> Redundancy Component Matrix and Structural Robustness</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Xinjian%20Kou">Xinjian Kou</a>, <a href="https://publications.waset.org/abstracts/search?q=Linlin%20Li"> Linlin Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Yongju%20Zhou"> Yongju Zhou</a>, <a href="https://publications.waset.org/abstracts/search?q=Jimian%20Song"> Jimian Song</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We introduce the redundancy matrix that expresses clearly the geometrical/topological configuration of the structure. With the matrix, the redundancy of the structure is resolved into redundant components and assigned to each member or rigid joint. The values of the diagonal elements in the matrix indicates the importance of the corresponding members or rigid joints, and the geometrically correlations can be shown with the non-diagonal elements. If a member or rigid joint failures, reassignment of the redundant components can be calculated with the recursive method given in the paper. By combining the indexes of reliability and redundancy components, we define an index concerning the structural robustness. To further explain the properties of the redundancy matrix, we cited several examples of statically indeterminate structures, including two trusses and a rigid frame. With the examples, some simple results and the properties of the matrix are discussed. The examples also illustrate that the redundancy matrix and the relevant concepts are valuable in structural safety analysis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Structural%20Robustness" title="Structural Robustness">Structural Robustness</a>, <a href="https://publications.waset.org/abstracts/search?q=Structural%20Reliability" title=" Structural Reliability"> Structural Reliability</a>, <a href="https://publications.waset.org/abstracts/search?q=Redundancy%20Component" title=" Redundancy Component"> Redundancy Component</a>, <a href="https://publications.waset.org/abstracts/search?q=Redundancy%20Matrix" title=" Redundancy Matrix"> Redundancy Matrix</a> </p> <a href="https://publications.waset.org/abstracts/66420/redundancy-component-matrix-and-structural-robustness" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66420.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">272</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> Multiple Images Stitching Based on Gradually Changing Matrix</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shangdong%20Zhu">Shangdong Zhu</a>, <a href="https://publications.waset.org/abstracts/search?q=Yunzhou%20Zhang"> Yunzhou Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jie%20Zhang"> Jie Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Hang%20Hu"> Hang Hu</a>, <a href="https://publications.waset.org/abstracts/search?q=Yazhou%20Zhang"> Yazhou Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Image stitching is a very important branch in the field of computer vision, especially for panoramic map. In order to eliminate shape distortion, a novel stitching method is proposed based on gradually changing matrix when images are horizontal. For images captured horizontally, this paper assumes that there is only translational operation in image stitching. By analyzing each parameter of the homography matrix, the global homography matrix is gradually transferred to translation matrix so as to eliminate the effects of scaling, rotation, etc. in the image transformation. This paper adopts matrix approximation to get the minimum value of the energy function so that the shape distortion at those regions corresponding to the homography can be minimized. The proposed method can avoid multiple horizontal images stitching failure caused by accumulated shape distortion. At the same time, it can be combined with As-Projective-As-Possible algorithm to ensure precise alignment of overlapping area. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=image%20stitching" title="image stitching">image stitching</a>, <a href="https://publications.waset.org/abstracts/search?q=gradually%20changing%20matrix" title=" gradually changing matrix"> gradually changing matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=horizontal%20direction" title=" horizontal direction"> horizontal direction</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20approximation" title=" matrix approximation"> matrix approximation</a>, <a href="https://publications.waset.org/abstracts/search?q=homography%20matrix" title=" homography matrix"> homography matrix</a> </p> <a href="https://publications.waset.org/abstracts/85912/multiple-images-stitching-based-on-gradually-changing-matrix" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/85912.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">319</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> Matrix Method Posting</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Varong%20Pongsai">Varong Pongsai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of this paper is introducing a new method of accounting posting which is called Matrix Method Posting. This method is based on the Matrix operation of pure Mathematics. Although, accounting field is classified as one of the social-science knowledge, many of accounting operations are placed by Mathematics sign and operation. Through the operation applying, it seems to be that the operations of Mathematics should be applied to accounting possibly. So, this paper tries to over-lap Mathematics logic to accounting logic smoothly. According to the context of discovery, deductive approach is employed to prove a simultaneously logical concept of both Mathematics and Accounting. The result proves that the Matrix can be placed to operate accounting perfectly, because Matrix and accounting logic also have a similarity concept which is balancing 2 sides during operations. Moreover, the Matrix posting also has a lot of benefit. It can help financial analyst calculating financial ratios comfortably. Furthermore, the matrix determinant which is a signature operation itself also helps auditors checking out the correction of clients’ recording. If the determinant is not equaled to 0, it will point out that the recording process of clients getting into the problem. Finally, the Matrix should be easily determining a concept of merger and consolidation far beyond the present day concept. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=matrix%20method%20posting" title="matrix method posting">matrix method posting</a>, <a href="https://publications.waset.org/abstracts/search?q=deductive%20approach" title=" deductive approach"> deductive approach</a>, <a href="https://publications.waset.org/abstracts/search?q=determinant" title=" determinant"> determinant</a>, <a href="https://publications.waset.org/abstracts/search?q=accounting%20application" title=" accounting application"> accounting application</a> </p> <a href="https://publications.waset.org/abstracts/31039/matrix-method-posting" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31039.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">367</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> Effects of the Mass and Damping Matrix Model in the Non-Linear Seismic Response of Steel Frames</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alfredo%20Reyes-Salazar">Alfredo Reyes-Salazar</a>, <a href="https://publications.waset.org/abstracts/search?q=Mario%20D.%20Llanes-Tizoc"> Mario D. Llanes-Tizoc</a>, <a href="https://publications.waset.org/abstracts/search?q=Eden%20Bojorquez"> Eden Bojorquez</a>, <a href="https://publications.waset.org/abstracts/search?q=Federico%20Valenzuela-Beltran"> Federico Valenzuela-Beltran</a>, <a href="https://publications.waset.org/abstracts/search?q=Juan%20Bojorquez"> Juan Bojorquez</a>, <a href="https://publications.waset.org/abstracts/search?q=Jose%20R.%20Gaxiola-Camacho"> Jose R. Gaxiola-Camacho</a>, <a href="https://publications.waset.org/abstracts/search?q=Achintya%20Haldar"> Achintya Haldar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Seismic analysis of steel buildings is usually based on the use of the concentrated mass (ML) matrix and the Rayleigh damping matrix (C). Similarly, the initial stiffness matrix (KO) and the first two modes associated with lateral vibrations are commonly used to develop matrix C. The evaluation of the accuracy of these practices for the particular case of steel buildings with moment-resisting steel frames constitutes the main objective of this research. For this, the non-linear seismic responses of three models of steel frames, representing low-, medium- and high-rise steel buildings, are considered. Results indicate that if the ML matrix is used, shears and bending moments in columns are underestimated by up to 30% and 65%, respectively when compared to the corresponding results obtained with the consistent mass matrix (MC). It is also shown that if KO is used in C instead of the tangent stiffness matrix (Kt), axial loads in columns are underestimated by up to 80%. It is concluded that the consistent mass matrix should be used in the structural modelling of moment-resisting steel frames and that the tangent stiffness matrix should be used to develop the Rayleigh damping matrix. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=moment-resisting%20steel%20frames" title="moment-resisting steel frames">moment-resisting steel frames</a>, <a href="https://publications.waset.org/abstracts/search?q=consistent%20and%20concentrated%20mass%20matrices" title=" consistent and concentrated mass matrices"> consistent and concentrated mass matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=non-linear%20seismic%20response" title=" non-linear seismic response"> non-linear seismic response</a>, <a href="https://publications.waset.org/abstracts/search?q=Rayleigh%20damping" title=" Rayleigh damping"> Rayleigh damping</a> </p> <a href="https://publications.waset.org/abstracts/153538/effects-of-the-mass-and-damping-matrix-model-in-the-non-linear-seismic-response-of-steel-frames" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/153538.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">149</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> Corrosion Characterization of Al6061, Quartz Metal Matrix Composites in Alkali Medium</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Radha%20H.%20R.">Radha H. R.</a>, <a href="https://publications.waset.org/abstracts/search?q=Krupakara%20P.%20V."> Krupakara P. V.</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Metal matrix composites are attracting today's manufacturers of many automobile parts so that they lost longer and their properties can be tailored according to the requirement. In this paper an attempt has been made to study the corrosion characteristics of Aluminium 6061 / quartz metal matrix composites in alkali medium like sodium hydroxide solutions. Metal matrix composites are heterogeneous mixtures of a matrix and reinforcement. In this work the matrix selected is Aluminium 6061 alloy which is commercially available and the reinforcement selected is quartz particulates of 50-80 micron size which is available in plenty in and around Bangalore district, India. Composites containing Aluminium 6061 with 2, 4 and 6 weight percent of quartz are manufactured by liquid melt metallurgy technique using vortex method. Corrosion tests like static weight loss and open circuit potential tests are conducted in different concentrated solutions of sodium hydroxide. To compare the results the matrix Aluminium 6061 is also casted in the same way. Specimens for the test are prepared according to ASTM standards. In all the tests the metal matrix composites showed better corrosion resistance than matrix alloy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aluminium%206061" title="aluminium 6061">aluminium 6061</a>, <a href="https://publications.waset.org/abstracts/search?q=corrosion" title=" corrosion"> corrosion</a>, <a href="https://publications.waset.org/abstracts/search?q=quartz" title=" quartz"> quartz</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex" title=" vortex "> vortex </a> </p> <a href="https://publications.waset.org/abstracts/24586/corrosion-characterization-of-al6061-quartz-metal-matrix-composites-in-alkali-medium" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24586.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">408</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> Membership Surface and Arithmetic Operations of Imprecise Matrix</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dhruba%20Das">Dhruba Das</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a method has been developed to construct the membership surfaces of row and column vectors and arithmetic operations of imprecise matrix. A matrix with imprecise elements would be called an imprecise matrix. The membership surface of imprecise vector has been already shown based on Randomness-Impreciseness Consistency Principle. The Randomness- Impreciseness Consistency Principle leads to defining a normal law of impreciseness using two different laws of randomness. In this paper, the author has shown row and column membership surfaces and arithmetic operations of imprecise matrix and demonstrated with the help of numerical example. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=imprecise%20number" title="imprecise number">imprecise number</a>, <a href="https://publications.waset.org/abstracts/search?q=imprecise%20vector" title=" imprecise vector"> imprecise vector</a>, <a href="https://publications.waset.org/abstracts/search?q=membership%20surface" title=" membership surface"> membership surface</a>, <a href="https://publications.waset.org/abstracts/search?q=imprecise%20matrix" title=" imprecise matrix"> imprecise matrix</a> </p> <a href="https://publications.waset.org/abstracts/33597/membership-surface-and-arithmetic-operations-of-imprecise-matrix" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33597.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">386</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> On a Generalization of the Spectral Dichotomy Method of a Matrix With Respect to Parabolas</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mouhamadou%20Dosso">Mouhamadou Dosso</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents methods of spectral dichotomy of a matrix which compute spectral projectors on the subspace associated with the eigenvalues external to the parabolas described by a general equation. These methods are modifications of the one proposed in [A. N. Malyshev and M. Sadkane, SIAM J. MATRIX ANAL. APPL. 18 (2), 265-278, 1997] which uses the spectral dichotomy method of a matrix with respect to the imaginary axis. Theoretical and algorithmic aspects of the methods are developed. Numerical results obtained by applying methods presented on matrices are reported. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=spectral%20dichotomy%20method" title="spectral dichotomy method">spectral dichotomy method</a>, <a href="https://publications.waset.org/abstracts/search?q=spectral%20projector" title=" spectral projector"> spectral projector</a>, <a href="https://publications.waset.org/abstracts/search?q=eigensubspaces" title=" eigensubspaces"> eigensubspaces</a>, <a href="https://publications.waset.org/abstracts/search?q=eigenvalue" title=" eigenvalue"> eigenvalue</a> </p> <a href="https://publications.waset.org/abstracts/159807/on-a-generalization-of-the-spectral-dichotomy-method-of-a-matrix-with-respect-to-parabolas" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159807.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">94</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> Corrosion Characterization of Al6061 Hybrid Metal Matrix Composites in Acid Medium</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=P.%20V.%20Krupakara">P. V. Krupakara</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with the high corrosion resistance developed by the hybrid metal matrix composites when compared with that of matrix alloy. Matrix selected is Al6061. Reinforcements selected are graphite and red mud particulates. The composites are prepared using liquid melt metallurgy technique using vortex method. Metal matrix composites containing 2 percent graphite and 2 percent red mud, 2 percent graphite and 4 percent red mud, 2 percent graphite and 6 percent of red mud are prepared. Bar castings are cut into cylindrical discs of 20mm diameter and 20mm thickness. Corrosion tests were conducted at room temperature (230 °C) using conventional weight loss method according to ASTM G69-80. The corrodents used for the test were hydrochloric acid solution of different concentrations. Specimens were tested for every 24 hours interval up to 96 hours. Four specimens for each condition and time were immersed in corrodent. In each case the corrosion rate decreases with increase in exposure time for matrix and metal matrix composites whatever may be the concentration of hydrochloric acid. This may be due to aluminium, which may induce passivation due to development of non-porous layer. As red mud content increases the composites become corrosion resistant due to insulating nature of ceramic material red mud and less exposure of matrix alloy in those metal matrix composites. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Al6061" title="Al6061">Al6061</a>, <a href="https://publications.waset.org/abstracts/search?q=graphite" title=" graphite"> graphite</a>, <a href="https://publications.waset.org/abstracts/search?q=passivation" title=" passivation"> passivation</a>, <a href="https://publications.waset.org/abstracts/search?q=red%20mud" title=" red mud"> red mud</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex" title=" vortex"> vortex</a> </p> <a href="https://publications.waset.org/abstracts/24636/corrosion-characterization-of-al6061-hybrid-metal-matrix-composites-in-acid-medium" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24636.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">542</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> Effects of Hydraulic Loading Rates and Porous Matrix in Constructed Wetlands for Wastewater Treatment</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Li-Jun%20Ren">Li-Jun Ren</a>, <a href="https://publications.waset.org/abstracts/search?q=Wei%20Pan"> Wei Pan</a>, <a href="https://publications.waset.org/abstracts/search?q=Li-Li%20Xu"> Li-Li Xu</a>, <a href="https://publications.waset.org/abstracts/search?q=Shu-Qing%20An"> Shu-Qing An</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study evaluated whether different matrix composition volume ratio can improve water quality in the experiment. The mechanism and adsorption capability of wetland matrixes (oyster shell, coarse slag, and volcanic rock) and their different volume ratio in group configuration during pollutants removal processes were tested. When conditions unchanged, the residence time affects the reaction effect. The average removal efficiencies of four kinds of matrix volume ratio on the TN were 62.76%, 61.54%, 64.13%, and 55.89%, respectively. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hydraulic%20residence%20time" title="hydraulic residence time">hydraulic residence time</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20composition" title=" matrix composition"> matrix composition</a>, <a href="https://publications.waset.org/abstracts/search?q=removal%20efficiency" title=" removal efficiency"> removal efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=volume%20ratio" title=" volume ratio"> volume ratio</a> </p> <a href="https://publications.waset.org/abstracts/30418/effects-of-hydraulic-loading-rates-and-porous-matrix-in-constructed-wetlands-for-wastewater-treatment" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30418.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">329</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> Added Value of 3D Ultrasound Image Guided Hepatic Interventions by X Matrix Technology</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmed%20Abdel%20Sattar%20Khalil">Ahmed Abdel Sattar Khalil</a>, <a href="https://publications.waset.org/abstracts/search?q=Hazem%20Omar"> Hazem Omar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Background: Image-guided hepatic interventions are integral to the management of infective and neoplastic liver lesions. Over the past decades, 2D ultrasound was used for guidance of hepatic interventions; with the recent advances in ultrasound technology, 3D ultrasound was used to guide hepatic interventions. The aim of this study was to illustrate the added value of 3D image guided hepatic interventions by x matrix technology. Patients and Methods: This prospective study was performed on 100 patients who were divided into two groups; group A included 50 patients who were managed by 2D ultrasonography probe guidance, and group B included 50 patients who were managed by 3D X matrix ultrasonography probe guidance. Thermal ablation was done for 70 patients, 40 RFA (20 by the 2D probe and 20 by the 3D x matrix probe), and 30 MWA (15 by the 2D probe and 15 by the 3D x matrix probe). Chemical ablation (PEI) was done on 20 patients (10 by the 2D probe and 10 by the 3D x matrix probe). Drainage of hepatic collections and biopsy from undiagnosed hepatic focal lesions was done on 10 patients (5 by the 2D probe and 5 by the 3D x matrix probe). Results: The efficacy of ultrasonography-guided hepatic interventions by 3D x matrix probe was higher than the 2D probe but not significantly higher, with a p-value of 0.705, 0.5428 for RFA, MWA respectively, 0.5312 for PEI, 0.2918 for drainage of hepatic collections and biopsy. The complications related to the use of the 3D X matrix probe were significantly lower than the 2D probe, with a p-value of 0.003. The timing of the procedure was shorter by the usage of 3D x matrix probe in comparison to the 2D probe with a p-value of 0.08,0.34 for RFA and PEI and significantly shorter for MWA, and drainage of hepatic collection, biopsy with a P-value of 0.02,0.001 respectively. Conclusions: 3D ultrasonography-guided hepatic interventions by Â x matrix probe have better efficacy, less complication, and shorter time of procedure than the 2D ultrasonography-guided hepatic interventions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=3D" title="3D">3D</a>, <a href="https://publications.waset.org/abstracts/search?q=X%20matrix" title=" X matrix"> X matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=2D" title=" 2D"> 2D</a>, <a href="https://publications.waset.org/abstracts/search?q=ultrasonography" title=" ultrasonography"> ultrasonography</a>, <a href="https://publications.waset.org/abstracts/search?q=MWA" title=" MWA"> MWA</a>, <a href="https://publications.waset.org/abstracts/search?q=RFA" title=" RFA"> RFA</a>, <a href="https://publications.waset.org/abstracts/search?q=PEI" title=" PEI"> PEI</a>, <a href="https://publications.waset.org/abstracts/search?q=drainage%20of%20hepatic%20collections" title=" drainage of hepatic collections"> drainage of hepatic collections</a>, <a href="https://publications.waset.org/abstracts/search?q=biopsy" title=" biopsy"> biopsy</a> </p> <a href="https://publications.waset.org/abstracts/173809/added-value-of-3d-ultrasound-image-guided-hepatic-interventions-by-x-matrix-technology" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/173809.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">95</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> Studying the Influence of Stir Cast Parameters on Properties of Al6061/Al2O3 Composite </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Anuj%20Suhag">Anuj Suhag</a>, <a href="https://publications.waset.org/abstracts/search?q=Rahul%20Dayal"> Rahul Dayal </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Aluminum matrix composites (AMCs) refer to the class of metal matrix composites that are lightweight but high performance aluminum centric material systems. The reinforcement in AMCs could be in the form of continuous/discontinuous fibers, whisker or particulates, in volume fractions. Properties of AMCs can be altered to the requirements of different industrial applications by suitable combinations of matrix, reinforcement and processing route. This work focuses on the fabrication of aluminum alloy (Al6061) matrix composites (AMCs) reinforced with 5 and 3 wt% Al2O3 particulates of 45µm using stir casting route. The aim of the present work is to investigate the effects of process parameters, determined by design of experiments, on microhardness, microstructure, Charpy impact strength, surface roughness and tensile properties of the AMC. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aluminium%20matrix%20composite" title="aluminium matrix composite">aluminium matrix composite</a>, <a href="https://publications.waset.org/abstracts/search?q=Charpy%20impact%20strength%20test" title=" Charpy impact strength test"> Charpy impact strength test</a>, <a href="https://publications.waset.org/abstracts/search?q=composite%20materials" title=" composite materials"> composite materials</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix" title=" matrix"> matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=metal%20matrix%20composite" title=" metal matrix composite"> metal matrix composite</a>, <a href="https://publications.waset.org/abstracts/search?q=surface%20roughness" title=" surface roughness"> surface roughness</a>, <a href="https://publications.waset.org/abstracts/search?q=reinforcement" title=" reinforcement"> reinforcement</a> </p> <a href="https://publications.waset.org/abstracts/10749/studying-the-influence-of-stir-cast-parameters-on-properties-of-al6061al2o3-composite" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10749.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">656</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> Hydrothermal Synthesis of ZIF-7 Crystals and Their Composite ZIF-7/CS Membranes for Water/Ethanol Separation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kai-Sheng%20Ji">Kai-Sheng Ji</a>, <a href="https://publications.waset.org/abstracts/search?q=Yi-Feng%20Lin"> Yi-Feng Lin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The pervaporation process for solvent and water separation has attracted research attention due to its lower energy consumption compared with conventional distillation processes. The membranes used for the pervaporation approach should exhibit high flux and separation factors. In this study, the ZIF-7 crystal particles were successfully incorporated into chitosan (CS) membranes to form ZIF-7/CS mixed-matrix membranes. The as-prepared ZIF-7/CS mixed-matrix membranes were used to separate mixtures of water/ethanol at 25℃ in the pervaporation process. The mixed-matrix membranes with different ZIF-7 wt% incorporation showed better separation efficiency than the pristine CS membranes because of the smaller pore size of the mixed-matrix membranes. The separation factor and the flux of the ZIF-7/CS membranes clearly exceed the upper limit of the previously reported CS-based and mixed-matrix membranes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=pervaporation" title="pervaporation">pervaporation</a>, <a href="https://publications.waset.org/abstracts/search?q=chitosan" title=" chitosan"> chitosan</a>, <a href="https://publications.waset.org/abstracts/search?q=ZIF-7" title=" ZIF-7"> ZIF-7</a>, <a href="https://publications.waset.org/abstracts/search?q=memberane%20separation" title=" memberane separation"> memberane separation</a> </p> <a href="https://publications.waset.org/abstracts/21520/hydrothermal-synthesis-of-zif-7-crystals-and-their-composite-zif-7cs-membranes-for-waterethanol-separation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21520.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">430</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> Corrosion Characterization of ZA-27 Metal Matrix Composites</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20V.%20Jayaprakash">H. V. Jayaprakash</a>, <a href="https://publications.waset.org/abstracts/search?q=P.%20V.%20Krupakara"> P. V. Krupakara</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with the high corrosion resistance developed by the metal matrix composites when compared with that of matrix alloy by open circuit potential test. Matrix selected is ZA-27 and reinforcement selected is red mud particulates, which is a ceramic material. The composites are prepared using liquid melt metallurgy technique using vortex method. Preheated but uncoated red mud particulates are added to the melt. Metal matrix composites containing 2, 4 and 6 weight percentage of red mud are casted. Matrix was also casted in the same way for comparison. Specimen are fabricated according to ASTM standards. The corrodents used for the tests were 0.025, 0.05 and 0.1 molar sodium hydroxide solutions. They are subjected to Open Circuit Potential studies and weight loss corrosion tests. Corrosion rate was found to be decreased with increase in exposure time in both experiments. Effect of exposure time and presence of increased percentage of reinforcement red mud is discussed in detail. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=composites" title="composites">composites</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex" title=" vortex"> vortex</a>, <a href="https://publications.waset.org/abstracts/search?q=particulates" title=" particulates"> particulates</a>, <a href="https://publications.waset.org/abstracts/search?q=red%20mud" title=" red mud"> red mud</a> </p> <a href="https://publications.waset.org/abstracts/29541/corrosion-characterization-of-za-27-metal-matrix-composites" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29541.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">449</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> BIASS in the Estimation of Covariance Matrices and Optimality Criteria</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Juan%20M.%20Rodriguez-Diaz">Juan M. Rodriguez-Diaz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The precision of parameter estimators in the Gaussian linear model is traditionally accounted by the variance-covariance matrix of the asymptotic distribution. However, this measure can underestimate the true variance, specially for small samples. Traditionally, optimal design theory pays attention to this variance through its relationship with the model's information matrix. For this reason it seems convenient, at least in some cases, adapt the optimality criteria in order to get the best designs for the actual variance structure, otherwise the loss in efficiency of the designs obtained with the traditional approach may be very important. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=correlated%20observations" title="correlated observations">correlated observations</a>, <a href="https://publications.waset.org/abstracts/search?q=information%20matrix" title=" information matrix"> information matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=optimality%20criteria" title=" optimality criteria"> optimality criteria</a>, <a href="https://publications.waset.org/abstracts/search?q=variance-covariance%20matrix" title=" variance-covariance matrix "> variance-covariance matrix </a> </p> <a href="https://publications.waset.org/abstracts/31104/biass-in-the-estimation-of-covariance-matrices-and-optimality-criteria" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31104.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">443</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">2195</span> AC Voltage Regulators Using Single Phase Matrix Converter</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nagaraju%20Jarugu">Nagaraju Jarugu</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20R.%20Narendra"> B. R. Narendra</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper focused on boost rectification by Single Phase Matrix Converter with fewer numbers of switches. The conventional matrix converter consists of 4 bidirectional switches, i.e. 8 set of IGBT/MOSFET with anti-parallel diodes. In this proposed matrix converter, only six switches are used. The switch commutation arrangements are also carried out in this work. The SPMC topology has many advantages as a minimal passive device use. It is very flexible and it can be used as a lot of converters. The gate pulses to the switches are provided by the PWM techniques. The duty ratio of the switches based on Pulse Width Modulation (PWM) technique was used to produce the output waveform of the circuit, simply by turning ON and OFF the switches. The simulation results using MATLAB/Simulink were provided to validate the feasibility of this proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=single%20phase%20matrix%20converter" title="single phase matrix converter">single phase matrix converter</a>, <a href="https://publications.waset.org/abstracts/search?q=reduced%20switches" title=" reduced switches"> reduced switches</a>, <a href="https://publications.waset.org/abstracts/search?q=AC%20voltage%20regulators" title=" AC voltage regulators"> AC voltage regulators</a>, <a href="https://publications.waset.org/abstracts/search?q=boost%20rectifier%20operation" title=" boost rectifier operation"> boost rectifier operation</a> </p> <a href="https://publications.waset.org/abstracts/31741/ac-voltage-regulators-using-single-phase-matrix-converter" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31741.pdf" target="_blank" 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