'This book provides various new topics on Matrix Analysis and Applications, which are not covered by some popular books on matrix analysis and computation. The text is well written, easy to be understood. There are several classical books on matrix analysis and computation on my bookshelf. But I will be happy to have this book on my bookshelf too.' Liqun Qi, Hong Kong Polytechnic University
Preface; Notation; List of abbreviations; List of algorithms; Part I. Matrix Algebra: 1. Introduction to matrix algebra; 2. Special matrices; 3. Matrix differential; Part II. Matrix Analysis: 4. Gradient analysis and optimization; 5. Singular value analysis; 6. Solving matrix equations; 7. Eigenanalysis; 8. Subspace analysis and tracking; 9. Projection analysis; Part III. Higher-Order Matrix Analysis: 10. Tensor analysis; References; Index.