Chapters in this book

1. Frontmatter i
2. Contents ix
3. Preface to the Revised and Expanded Edition xvii
4. Preface to the Second Edition xix
5. Preface to the First Edition xxi
6. Special Symbols xxv
7. Conventions, Notation, and Terminology xxxvii
8. 1. Sets, Logic, Numbers, Relations, Orderings, Graphs, and Functions 1
9. 2. Equalities and Inequalities 119
10. 3. Basic Matrix Properties 277
11. 4. Matrix Classes and Transformations 363
12. 5. Geometry 441
13. 6. Polynomial Matrices and Rational Transfer Functions 499
14. 7. Matrix Decompositions 545
15. 8. Generalized Inverses 621
16. 9. Kronecker and Schur Algebra 681
17. 10. Positive-Semidefinite Matrices 703
18. 11. Norms 833
19. 12. Functions, Limits, Sequences, Series, Infinite Products, and Derivatives 913
20. 13. Infinite Series, Infinite Products, and Special Functions 975
21. 14. Integrals 1093
22. 15. The Matrix Exponential and Stability Theory 1179
23. 16. Linear Systems and Control Theory 1249
24. Bibliography 1321
25. Author Index 1433
26. Subject Index 1449