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Matrix Iterative Analysis 3


Matrix Iterative Analysis 3
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Matrix Iterative Analysis 3


Matrix Iterative Analysis 3
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Author : Richard S Varga
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09

Matrix Iterative Analysis 3 written by Richard S Varga and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.


This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.



Matrix Iterative Analysis


Matrix Iterative Analysis
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Author : Richard S Varga
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-05

Matrix Iterative Analysis written by Richard S Varga and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-05 with Mathematics categories.


This is the softcover reprint of a very popular hardcover edition, a revised version of the first edition, originally published by Prentice Hall in 1962 and regarded as a classic in its field. In some places, newer research results, e.g. results on weak regular splittings, have been incorporated in the revision, and in other places, new material has been added in the chapters, as well as at the end of chapters, in the form of additional up-to-date references and some recent theorems to give the reader some newer directions to pursue. The material in the new chapters is basically self-contained and more exercises have been provided for the readers. While the original version was more linear algebra oriented, the revision attempts to emphasize tools from other areas, such as approximation theory and conformal mapping theory, to access newer results of interest. The book should be of great interest to researchers and graduate students in the field of numerical analysis.



Matrix Iterative Analysis


Matrix Iterative Analysis
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Author : Richard S. Varga
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-21

Matrix Iterative Analysis written by Richard S. Varga and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-21 with Mathematics categories.


This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.



Applied And Computational Matrix Analysis


Applied And Computational Matrix Analysis
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Author : Natália Bebiano
language : en
Publisher: Springer
Release Date : 2017-03-01

Applied And Computational Matrix Analysis written by Natália Bebiano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-01 with Mathematics categories.


This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference. Topics covered include interval linear algebra and computational complexity, Birkhoff polynomial basis, tensors, graphs, linear pencils, K-theory and statistic inference, showing the ubiquity of matrices in different mathematical areas. With a particular focus on matrix and operator theory, statistical models and computation, the International Conference on Matrix Analysis and its Applications 2015, held in Coimbra, Portugal, was the sixth in a series of conferences. Applied and Computational Matrix Analysis will appeal to graduate students and researchers in theoretical and applied mathematics, physics and engineering who are seeking an overview of recent problems and methods in matrix analysis.



Iterative Methods For Sparse Linear Systems


Iterative Methods For Sparse Linear Systems
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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2003-04-01

Iterative Methods For Sparse Linear Systems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-01 with Mathematics categories.


Mathematics of Computing -- General.



Hierarchical Matrices Algorithms And Analysis


Hierarchical Matrices Algorithms And Analysis
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Author : Wolfgang Hackbusch
language : en
Publisher: Springer
Release Date : 2015-12-21

Hierarchical Matrices Algorithms And Analysis written by Wolfgang Hackbusch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-21 with Mathematics categories.


This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix. The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition. Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.



Matrix Analysis And Computations


Matrix Analysis And Computations
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Author : Zhong-Zhi Bai
language : en
Publisher: SIAM
Release Date : 2021-09-09

Matrix Analysis And Computations written by Zhong-Zhi Bai and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with Mathematics categories.


This comprehensive book is presented in two parts; the first part introduces the basics of matrix analysis necessary for matrix computations, and the second part presents representative methods and the corresponding theories in matrix computations. Among the key features of the book are the extensive exercises at the end of each chapter. Matrix Analysis and Computations provides readers with the matrix theory necessary for matrix computations, especially for direct and iterative methods for solving systems of linear equations. It includes systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods, as well as current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems. This book can be used as a textbook for graduate students as well as a self-study tool and reference for researchers and engineers interested in matrix analysis and matrix computations. It is appropriate for courses in numerical analysis, numerical optimization, data science, and approximation theory, among other topics



Applied Iterative Methods


Applied Iterative Methods
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Author : Louis A. Hageman
language : en
Publisher: Courier Corporation
Release Date : 2012-04-27

Applied Iterative Methods written by Louis A. Hageman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-27 with Mathematics categories.


This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition. Includes 48 figures and 35 tables.



Matrix Iterative Analysis


Matrix Iterative Analysis
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Author : Richard S. Varga
language : en
Publisher: Springer
Release Date : 1999-11-17

Matrix Iterative Analysis written by Richard S. Varga and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-17 with Mathematics categories.


This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.



Computational Methods In Power System Analysis


Computational Methods In Power System Analysis
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Author : Reijer Idema
language : en
Publisher: Springer
Release Date : 2014-07-08

Computational Methods In Power System Analysis written by Reijer Idema and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Technology & Engineering categories.


This book treats state-of-the-art computational methods for power flow studies and contingency analysis. In the first part the authors present the relevant computational methods and mathematical concepts. In the second part, power flow and contingency analysis are treated. Furthermore, traditional methods to solve such problems are compared to modern solvers, developed using the knowledge of the first part of the book. Finally, these solvers are analyzed both theoretically and experimentally, clearly showing the benefits of the modern approach.