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Chapter Thirteen. Indefinite inner products: Nonstandard involution
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Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- Preface xi
- Chapter One. Introduction 1
- Chapter Two. The algebra of quaternions 9
- Chapter Three. Vector spaces and matrices: Basic theory 28
- Chapter Four. Symmetric matrices and congruence 64
- Chapter Five. Invariant subspaces and Jordan form 83
- Chapter Six. Invariant neutral and semidefinite subspaces 131
- Chapter Seven. Smith form and Kronecker canonical form 153
- Chapter Eight. Pencils of hermitian matrices 172
- Chapter Nine. Skewhermitian and mixed pencils 194
- Chapter Ten. Indefinite inner products: Conjugation 228
- Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution 261
- Chapter Twelve. Mixed matrix pencils: Nonstandard involutions 279
- Chapter Thirteen. Indefinite inner products: Nonstandard involution 300
- Chapter Fourteen. Matrix equations 328
- Chapter Fifteen. Appendix: Real and complex canonical forms 339
- Bibliography 353
- Index 361
Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- Preface xi
- Chapter One. Introduction 1
- Chapter Two. The algebra of quaternions 9
- Chapter Three. Vector spaces and matrices: Basic theory 28
- Chapter Four. Symmetric matrices and congruence 64
- Chapter Five. Invariant subspaces and Jordan form 83
- Chapter Six. Invariant neutral and semidefinite subspaces 131
- Chapter Seven. Smith form and Kronecker canonical form 153
- Chapter Eight. Pencils of hermitian matrices 172
- Chapter Nine. Skewhermitian and mixed pencils 194
- Chapter Ten. Indefinite inner products: Conjugation 228
- Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution 261
- Chapter Twelve. Mixed matrix pencils: Nonstandard involutions 279
- Chapter Thirteen. Indefinite inner products: Nonstandard involution 300
- Chapter Fourteen. Matrix equations 328
- Chapter Fifteen. Appendix: Real and complex canonical forms 339
- Bibliography 353
- Index 361