Chapter Nine. Skewhermitian and mixed pencils

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface xi
4. Chapter One. Introduction 1
5. Chapter Two. The algebra of quaternions 9
6. Chapter Three. Vector spaces and matrices: Basic theory 28
7. Chapter Four. Symmetric matrices and congruence 64
8. Chapter Five. Invariant subspaces and Jordan form 83
9. Chapter Six. Invariant neutral and semidefinite subspaces 131
10. Chapter Seven. Smith form and Kronecker canonical form 153
11. Chapter Eight. Pencils of hermitian matrices 172
12. Chapter Nine. Skewhermitian and mixed pencils 194
13. Chapter Ten. Indefinite inner products: Conjugation 228
14. Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution 261
15. Chapter Twelve. Mixed matrix pencils: Nonstandard involutions 279
16. Chapter Thirteen. Indefinite inner products: Nonstandard involution 300
17. Chapter Fourteen. Matrix equations 328
18. Chapter Fifteen. Appendix: Real and complex canonical forms 339
19. Bibliography 353
20. Index 361