Matrix Analysis

Linear 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.

Science & Math

Horn, Roger A.

Johnson, Charles R.

Mathematics

Cambridge University Press

Topics in Matrix Analysis

Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics with important applications and of special mathematical interest in matrix theory not included in the previous text. These topics include the field of values, stable matrices and inertia, singular values, matrix equations and Kronecker products, Hadamard products, and matrices and functions. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts. The book should be welcomed by graduate students and researchers in a variety of mathematical fields both as an advanced text and as a modern reference work.

Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the 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. The authors have thoroughly revised, updated, and expanded on the first edition. The book opens with an extended summary of useful concepts and facts and includes numerous new topics and features, such as: - New sections on the singular value and CS decompositions - New applications of the Jordan canonical form - A new section on the Weyr canonical form - Expanded treatments of inverse problems and of block matrices - A central role for the Von Neumann trace theorem - A new appendix with a modern list of canonical forms for a pair of Hermitian matrices and for a symmetric-skew symmetric pair - Expanded index with more than 3,500 entries for easy reference - More than 1,100 problems and exercises, many with hints, to reinforce understanding and develop auxiliary themes such as finite-dimensional quantum systems, the compound and adjugate matrices, and the Loewner ellipsoid - A new appendix provides a collection of problem-solving hints.

Business & Money

Economics

Linear algebra is a fundamental tool in many fields, including mathematics and statistics, computer science, economics, and the physical and biological sciences. This undergraduate textbook offers a complete second course in linear algebra, tailored to help students transition from basic theory to advanced topics and applications. Concise chapters promote a focused progression through essential ideas, and contain many examples and illustrative graphics. In addition, each chapter contains a bullet list summarising important concepts, and the book includes over 600 exercises to aid the reader's understanding. Topics are derived and discussed in detail, including the singular value decomposition, the Jordan canonical form, the spectral theorem, the QR factorization, normal matrices, Hermitian matrices (of interest to physics students), and positive definite matrices (of interest to statistics students).

A Second Course in Linear Algebra (Cambridge Mathematical Textbooks)

Garcia, Stephan Ramon

Using a modern matrix-based approach, this rigorous second course in linear algebra helps upper-level undergraduates in mathematics, data science, and the physical sciences transition from basic theory to advanced topics and applications. Its clarity of exposition together with many illustrations, 900+ exercises, and 350 conceptual and numerical examples aid the student's understanding. Concise chapters promote a focused progression through essential ideas. Topics are derived and discussed in detail, including the singular value decomposition, Jordan canonical form, spectral theorem, QR factorization, normal matrices, Hermitian matrices, and positive definite matrices. Each chapter ends with a bullet list summarizing important concepts. New to this edition are chapters on matrix norms and positive matrices, many new sections on topics including interpolation and LU factorization, 300+ more problems, many new examples, and color-enhanced figures. Prerequisites include a first course in linear algebra and basic calculus sequence. Instructor's resources are available.

Matrix Mathematics: A Second Course in Linear Algebra (Cambridge Mathematical Textbooks)

Language:Chinese.Pub Date: 2014-09-01 Pages: 691 Publisher: Machinery Industry Press book from the perspective of mathematical analysis describes the classical and modern methods of matrix analysis. the main contents of eigenvalues. eigenvectors. norm. similarity. unitary similar triangular decomposition. polar decomposition. positive definite matrix. the non-negative matrix. etc. the new fully revised and updated. increasing the singular value. CS decomposition and related sections Weyr standard norm and so extends the inverse matrix and the matrix blocks related content . on the basis of linear algebra and matrix theory gave a comprehensive summary. there are over 1100 questions and prompts some questions. there is a detailed index of this project as well as a master's degree in mathematics. statistics. physics and other professional graduate teaching . engaged in pure res...

Matrix Analysis China Edition

See the best price to sell, buy, or rent books by Horn, Roger A.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Horn, Roger A.

See the best price to sell, buy, or rent books by Horn, Roger A.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Matrix Analysis

Matrix Analysis

Topics in Matrix Analysis

Matrix Analysis

Topics in Matrix Analysis

Matrix Analysis

Matrix Analysis

A Second Course in Linear Algebra (Cambridge Mathematical Textbooks)

Matrix Mathematics: A Second Course in Linear Algebra (Cambridge Mathematical Textbooks)

Matrix Analysis China Edition