Matrix Inequality - (Second Edition)

Author: Wang Songgui
Publisher:
Publish Date: 2006-05-01
Features: Matrix Inequalities systematically introduces various inequalities in matrix theory. It is a monograph in Chinese on matrix inequalities, covering topics such as rank, determinants, eigenvalues, condition numbers, etc. The book compiles important inequalities in matrix theory, with a clear focus and integrates cutting-edge international research, presenting rigorous arguments. Additionally, Matrix Inequalities is organized into thematic chapters based on properties, with concise and systematic content. The book systematically discusses various inequalities in matrix theory. It is divided into nine chapters: Chapter 1 serves as a prerequisite for matrix theory; Chapters 2–8 discuss inequalities related to rank, determinants, eigenvalues, condition numbers, trace, partial order, and control; and Chapter 9 presents several applications of matrix inequalities in linear statistics. The final two appendices collect commonly used inequalities in quantity, functions, and probability and statistics. The target readers of this book include senior undergraduate and graduate students in higher education institutions, teachers and mathematicians in relevant fields, as well as engineering professionals.