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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521386322
ISBN-139780521386326
eBay Product ID (ePID)972907
Product Key Features
Number of Pages575 Pages
LanguageEnglish
Publication NameMatrix Analysis
Publication Year1990
SubjectMechanics / General, Algebra / General
TypeTextbook
Subject AreaMathematics, Science
AuthorCharles R. Johnson, Roger A. Horn
FormatTrade Paperback
Dimensions
Item Height1.1 in
Item Weight27.9 Oz
Item Length9.2 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
Reviews'There seems little doubt that the book will become a standard reference for research workers in numerical mathematics.' Computing Reviews, 'On the whole the authors have done an excellent job of supplying linear algebraists and applied mathematicians with a well-organized comprehensive survey, which can serve both as a text and as a reference. The reviewer recommends that everyone working in these fields have this book on his/her desk.' Linear Algebra and its Applications, ‘The reviewer strongly recommends that those working in either pure or applied linear algebra have this book on their desks.’SIAM Review, 'The reviewer strongly recommends that those working in either pure or applied linear algebra have this book on their desks.' SIAM Review, "The presentation is straightforward and extremely readable. The authors' enthusiasm pervades the book, and the printing is what we expect from this publisher. This will doubtless be the standard text for years to come." American Scientist, ‘There seems little doubt that the book will become a standard reference for research workers in numerical mathematics.’Computing Reviews, ‘On the whole the authors have done an excellent job of supplying linear algebraists and applied mathematicians with a well-organized comprehensive survey, which can serve both as a text and as a reference. The reviewer recommends that everyone working in these fields have this book on his/her desk.’Linear Algebra and its Applications
Dewey Edition23
IllustratedYes
Dewey Decimal512.9/434
Table Of ContentPreface; Review and miscellanea; 1. Eigenvalues, eigenvectors, and similarity; 2. Unitary equivalence and normal matrices; 3. Canonical forms; 4. Hermitian and symmetric matrices; 5. Norms for vectors and matrices; 6. Location and perturbation of eigenvalues; 7. Positive definite matrices; 8. Non-negative matrices; 9. Appendices; References.
SynopsisLinear algebra and matrix theory have long been fundamental tools in mathematical disciplines as well as fertile fields for research. In this book the authors present classical and recent results of matrix analysis that have proved to be important to applied mathematics. Facts about matrices, beyond those found in an elementary linear algebra course, are needed to understand virtually any area of mathematical science, but the necessary material has appeared only sporadically in the literature and in university curricula. As interest in applied mathematics has grown, the need for a text and reference offering a broad selection of topics in matrix theory has become apparent, and this book meets that need. This volume reflects two concurrent views of matrix analysis. First, it encompasses topics in linear algebra that have arisen out of the needs of mathematical analysis. Second, it is an approach to real and complex linear algebraic problems that does not hesitate to use notions from analysis. Both views are reflected in its choice and treatment of topics., In this book the authors present classical and recent results for matrix analysis that have proved to be important to applied mathematics. Facts about matrices, beyond those found in an elementary linear algebra course, are needed to understand virtually any area of mathematics, and the necessary material has only occurred sporadically in the literature and university curricula. As the interest in applied mathematics has grown, the need for a text and a reference work offering a broad selection of topics has become apparent, and this book aims to meet that need. This book will be welcomed as an undergraduate or graduate textbook for students studying matrix analysis. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts. They begin with a review and discussion of eigenvalues and eigenvectors. The following chapters each treat a major topic in depth. This volume should be useful not only as a text, but also as a self-contained reference work to a variety of audiences in other scientific fields., Matrix Analysis presents the classical and recent results for matrix analysis that have proved to be important to applied mathematics., Matrix Analysis presents the classical and recent results for matrix analysis that have proved to be important to applied mathematics. Facts about matrices, beyond those found in elementary linear algebra courses, are needed to understand most areas of mathematics. This book offers a broad selection of topics for students of matrix analysis.