Matrix Analysis


Matrix Analysis
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Matrix Analysis


Matrix Analysis
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Author : Rajendra Bhatia
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Matrix Analysis written by Rajendra Bhatia 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 2013-12-01 with Mathematics categories.


This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.



Topics In Matrix Analysis


Topics In Matrix Analysis
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Author : Roger A. Horn
language : en
Publisher: Cambridge University Press
Release Date : 1994-06-24

Topics In Matrix Analysis written by Roger A. Horn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-24 with Mathematics categories.


This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.



Matrix Analysis


Matrix Analysis
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Author : Roger A. Horn
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-22

Matrix Analysis written by Roger A. Horn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-22 with Mathematics categories.


Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This second edition of this acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme and demonstrates their importance in a variety of applications. This thoroughly revised and updated second edition is a text for a second course on linear algebra and has more than 1,100 problems and exercises, new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices, and much more.



Matrix Analysis


Matrix Analysis
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Author : Roger A. Horn
language : en
Publisher: Cambridge University Press
Release Date : 1990-02-23

Matrix Analysis written by Roger A. Horn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-23 with Mathematics categories.


Matrix Analysis presents the classical and recent results for matrix analysis that have proved to be important to applied mathematics.



Introduction To Matrix Analysis And Applications


Introduction To Matrix Analysis And Applications
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Author : Fumio Hiai
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-06

Introduction To Matrix Analysis And Applications written by Fumio Hiai 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 2014-02-06 with Mathematics categories.


Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.



Introduction To Matrix Analysis


Introduction To Matrix Analysis
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Author : Richard Bellman
language : en
Publisher: SIAM
Release Date : 1997-12-01

Introduction To Matrix Analysis written by Richard Bellman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-01 with Mathematics categories.


Lucid and concise, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods.



Matrix Analysis For Scientists And Engineers


Matrix Analysis For Scientists And Engineers
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Author : Alan J. Laub
language : en
Publisher: SIAM
Release Date : 2005-01-01

Matrix Analysis For Scientists And Engineers written by Alan J. Laub and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.


Matrix Analysis for Scientists and Engineers provides a blend of undergraduate- and graduate-level topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices. Consequently, the text provides an often-needed bridge between undergraduate-level matrix theory and linear algebra and the level of matrix analysis required for graduate-level study and research. The text is sufficiently compact that the material can be taught comfortably in a one-quarter or one-semester course. Throughout the book, the author emphasizes the concept of matrix factorization to provide a foundation for a later course in numerical linear algebra. The author addresses connections to differential and difference equations as well as to linear system theory and encourages instructors to augment these examples with other applications of their own choosing.



Matrix Analysis And Applications


Matrix Analysis And Applications
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Author : Xian-Da Zhang
language : en
Publisher: Cambridge University Press
Release Date : 2017-10-05

Matrix Analysis And Applications written by Xian-Da Zhang and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Computers categories.


The theory, methods and applications of matrix analysis are presented here in a novel theoretical framework.



An Introduction To Applied Matrix Analysis


An Introduction To Applied Matrix Analysis
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Author : Xiao Qing Jin
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-05-30

An Introduction To Applied Matrix Analysis written by Xiao Qing Jin and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-30 with Mathematics categories.


It is well known that most problems in science and engineering eventually progress into matrix problems. This book gives an elementary introduction to applied matrix theory and it also includes some new results obtained in recent years. The book consists of eight chapters. It includes perturbation and error analysis; the conjugate gradient method for solving linear systems; preconditioning techniques; and least squares algorithms based on orthogonal transformations, etc. The last two chapters include some latest development in the area. In Chap. 7, we construct optimal preconditioners for functions of matrices. More precisely, let f be a function of matrices. Given a matrix A, there are two choices of constructing optimal preconditioners for f(A). Properties of these preconditioners are studied for different functions. In Chap. 8, we study the Bottcher–Wenzel conjecture and discuss related problems. This is a textbook for senior undergraduate or junior graduate students majoring in science and engineering. The material is accessible to students who, in various disciplines, have basic linear algebra, calculus, numerical analysis, and computing knowledge. The book is also useful to researchers in computational science who are interested in applied matrix theory.



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 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.