Matrix theory

Author: Fang Baorong
Publisher:
Publish Date: 2004-11-01
Features: This book provides a comprehensive and systematic introduction to the basic theory, methods, and applications of matrices. The book is divided into two parts, with a total of 10 chapters, covering topics such as linear spaces and linear operators, inner product spaces and isometric transformations, λ matrices and Jordan canonical forms, normed linear spaces and matrix norms, matrix calculus and its applications, generalized inverse matrices and their applications, matrix factorization, Kronecker product, Hadamard product, and anti-product of matrices, as well as special matrices (e.g., non-negative matrices and positive matrices, circulant matrices and primitive matrices, stochastic matrices and doubly stochastic matrices, monotone matrices, M-matrices and H-matrices, T-matrices and Hamiltonian matrices, etc.), and symplectic spaces and symplectic matrices. Each chapter is accompanied by a certain number of exercises. The appendix also provides several sets of simulated self-test questions. To facilitate readers' learning and reference, the book comes with a CD-ROM containing detailed solutions to the exercises in each chapter and hints for the simulated self-test questions, for readers to choose from. This book can be used as a textbook for graduate students in various disciplines of science and engineering, as a selective course textbook for senior undergraduate students in science, engineering, and teacher training institutions, and as a reference for teachers and engineering professionals in relevant fields.