Matrix Inequalities For Iterative Systems
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Matrix Inequalities For Iterative Systems
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Author : Hanjo Taubig
language : en
Publisher: CRC Press
Release Date : 2017-02-03
Matrix Inequalities For Iterative Systems written by Hanjo Taubig and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-03 with Mathematics categories.
The book reviews inequalities for weighted entry sums of matrix powers. Applications range from mathematics and CS to pure sciences. It unifies and generalizes several results for products and powers of sesquilinear forms derived from powers of Hermitian, positive-semidefinite, as well as nonnegative matrices. It shows that some inequalities are valid only in specific cases. How to translate the Hermitian matrix results into results for alternating powers of general rectangular matrices? Inequalities that compare the powers of the row and column sums to the row and column sums of the matrix powers are refined for nonnegative matrices. Lastly, eigenvalue bounds and derive results for iterated kernels are improved.
Advances In Linear Matrix Inequality Methods In Control
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Author : Laurent El Ghaoui
language : en
Publisher: SIAM
Release Date : 2000-01-01
Advances In Linear Matrix Inequality Methods In Control written by Laurent El Ghaoui and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Mathematics categories.
An account of the LMI method, covering topics such as LMI algorithms, analysis and synthesis issues and nonconvex problems.
Linear Matrix Inequalities In System And Control Theory
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Author : Stephen Boyd
language : en
Publisher: SIAM
Release Date : 1994-01-01
Linear Matrix Inequalities In System And Control Theory written by Stephen Boyd and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.
Iterative Incomplete Factorization Methods
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Author : V P Il'in
language : en
Publisher: World Scientific
Release Date : 1992-07-23
Iterative Incomplete Factorization Methods written by V P Il'in and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-23 with Mathematics categories.
This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of preconditioning interative processes with acceleration by conjugate gradients or the Chebyshev technique. Different kinds of explicit and implicit algorithms are considered. Theoretical grounds of correctness and estimates of the convergence velocity of iterations are presented. Together with the results of experimental investigations for the typical examples, this book is the first on systematic studying of the incomplete factorization methods. Contents: Some Elements from Linear AlgebraBuleev Methods and 'Grid' Principles of Incomplete FactorizationMatrix Analysis of Incomplete Factorization MethodsProblems of Theoretical BackgroundExamples of Numerical Experiments Readership: Graduates in mathematics and mathematicians. keywords:Incomplete Factorization;LU-Decomposition;Preconditioning;Explicit Methods;Tridiagonal Matrices;Second Order Factorization Methods;Implicit Grid Methods;Methods of h-Factorization;$M$-Matrices;Domain Decomposition Methods;Buleev Method;Stability;Rate of Convergence;Convection-Diffusion Problems;Numerical Experiments“This book gives an authoritative and selfcontained account of the development of incomplete factorization methods.”Mathematics Abstracts
Iterative Methods For Solving Linear Systems
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Author : Anne Greenbaum
language : en
Publisher: SIAM
Release Date : 1997-01-01
Iterative Methods For Solving Linear Systems written by Anne Greenbaum and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
Mathematics of Computing -- Numerical Analysis.
A Survey Of Matrix Theory And Matrix Inequalities
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Author : Marvin Marcus
language : en
Publisher: Courier Corporation
Release Date : 1992-01-01
A Survey Of Matrix Theory And Matrix Inequalities written by Marvin Marcus and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.
Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.
Iterative Solution Of Symmetric Quasi Definite Linear Systems
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Author : Dominique Orban
language : en
Publisher: SIAM
Release Date : 2017-04-07
Iterative Solution Of Symmetric Quasi Definite Linear Systems written by Dominique Orban and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-07 with Mathematics categories.
Numerous applications, including computational optimization and fluid dynamics, give rise to block linear systems of equations said to have the quasi-definite structure. In practical situations, the size or density of those systems can preclude a factorization approach, leaving only iterative methods as the solution technique. Known iterative methods, however, are not specifically designed to take advantage of the quasi-definite structure.÷ This book discusses the connection between quasi-definite systems and linear least-squares problems, the most common and best understood problems in applied mathematics, and explains how quasi-definite systems can be solved using tailored iterative methods for linear least squares (with half as much work!). To encourage researchers and students to use the software, it is provided in MATLAB, Python, and Julia.÷ The authors provide a concise account of the most well-known methods for symmetric systems and least-squares problems, research-level advances in the solution of problems with specific illustrations in optimization and fluid dynamics, and a website that hosts software in three languages.÷
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.
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.
Iterative Incomplete Factorization Methods
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Author : Valeri? Pavlovich Il?in
language : en
Publisher: World Scientific
Release Date : 1992
Iterative Incomplete Factorization Methods written by Valeri? Pavlovich Il?in and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of preconditioning interative processes with acceleration by conjugate gradients or the Chebyshev technique. Different kinds of explicit and implicit algorithms are considered. Theoretical grounds of correctness and estimates of the convergence velocity of iterations are presented. Together with the results of experimental investigations for the typical examples, this book is the first on systematic studying of the incomplete factorization methods.