Matrix Analysis and Applications

Author: Zhang Xianda
Publisher:
Publish Date: 2004-09-01
Features: This book divides the analysis of matrices into five major parts: gradient analysis, singular value analysis, eigenvalue analysis, subspace analysis, and projection analysis. It introduces the main theories, methods, and applications of matrix analysis in a new system, systematically and comprehensively. The book consists of 10 chapters, covering topics such as matrices and linear equations, special matrices, Toeplitz matrices, matrix transformations and decompositions, gradient analysis and optimization, singular value analysis, total least squares methods, eigenvalue analysis, subspace analysis, and projection analysis. The book draws from a wide range of sources, presents novel content, and closely integrates theory with application. It introduces rich theories and numerous vivid applications of matrix analysis, helping readers learn how to use this important mathematical tool flexibly to solve a wide range of problems in science and engineering. This book is suitable for teachers, graduate students, and scientific and technical personnel in disciplines requiring extensive and in-depth knowledge of matrices (such as mathematics, physics, mechanics) and information science and technology (such as electronics, communications, automatic control, computer science, systems engineering, pattern recognition, signal processing) for teaching, self-study, or advanced studies. The book summarizes numerous mathematical properties of matrices and a large number of relevant formulas, making it useful as a matrix handbook.