Contents

Chapters in this book

1. Frontmatter i
2. Contents ix
3. Preface to the Second Edition xv
4. Preface to the First Edition xvii
5. Special Symbols xxi
6. Conventions, Notation, and Terminology xxxiii
7. Chapter One. Preliminaries 1
8. Chapter Two. Basic Matrix Properties 85
9. Chapter Three Matrix Classes and Transformations 179
10. Chapter Four. Polynomial Matrices and Rational Transfer Functions 253
11. Chapter Five. Matrix Decompositions 309
12. Chapter Six. Generalized Inverses 397
13. Chapter Seven. Kronecker and Schur Algebra 439
14. Chapter Eight. Positive-Semidefinite Matrices 459
15. Chapter Nine. Norms 597
16. Chapter Ten. Functions of Matrices and Their Derivatives 681
17. Chapter Eleven. The Matrix Exponential and Stability Theory 707
18. Chapter Twelve. Linear Systems and Control Theory 795
19. Bibliography 881
20. Author Index 967
21. Index 979