Matrix theory

Author: Dai Hua
Publisher:
Publish Date: 2002-08-01
Features: This book provides a comprehensive and systematic introduction to the fundamental theories, methods, and certain applications of matrix theory. The book is divided into 10 chapters, covering topics such as linear spaces and inner product spaces, linear mappings and linear transformations, λ-matrices and Jordan canonical forms, elementary matrices and matrix factorization, Hermitian matrices and positive definite matrices, norm theory and perturbation analysis, matrix functions and matrix-valued functions, generalized inverse matrices and linear systems of equations, Kronecker products and linear matrix equations, and nonnegative matrices and M-matrices. The content is rich and the arguments are rigorous. Each chapter is accompanied by a certain number of exercises to help readers learn and consolidate their knowledge. This book can serve as a textbook for master's students and senior undergraduate students in science and engineering disciplines, as well as a reference for teachers and engineering professionals in related fields.