Matrix Theory: Basic Results and Techniques - Zhang, Fuzhen

The aim of this text is to present fundamental ideas, results, and techniques concisely, mainly in matrix theory with some in linear algebra. The book contains ten chapters covering various topics ranging from rank, similarity, and special matrices, to Schur complements, matrix normality, and majorization. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. Major changes in this third edition include:

This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for advanced undergraduate or graduate students. Prerequisites include a solid background in elementary linear algebra and calculus. The text can also serve as a reference for researchers in algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other scientific areas.

From reviews of the second edition:

The author has made a valuable contribution to the textbook literature on matrix theory, and his w