Invariant Subspaces of Matrices With Applications

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· 제목 : Invariant Subspaces of Matrices With Applications (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 변환
· ISBN : 9780898716085
· 쪽수 : 692쪽
· 출판일 : 2006-03-01

Preface to the Classics Edition
Preface to the First Edition
Introduction
Part One: Fundamental Properties of Invariant Subspaces and Applications. Chapter 1: Invariant Subspaces: Definitions, Examples, and First Properties
Chapter 2: Jordan Form and Invariant Subspaces
Chapter 3: Coinvariant and Semiinvariant Subspaces
Chapter 4 Jordan Form for Extensions and Completions
Chapter 5: Applications to Matrix Polynomials
Chapter 6: Invariant Subspaces for Transformations Between Different Spaces
Chapter 7: Rational Matrix Functions
Chapter 8: Linear Systems
Part Two: Algebraic Properties of Invariant Subspaces. Chapter 9: Commuting Matrices and Hyperinvariant Subspaces
Chapter 10: Description of Invariant Subspaces and Linear Transformation with the Same Invariant Subspaces
Chapter 11: Algebras of Matrices and Invariant Subspaces
Chapter 12: Real Linear Transformations
Part Three: Topological Properties of Invariant Subspaces and Stability. Chapter 13: The Metric Space of Subspaces
Chapter 14: The Metric Space of Invariant Subspaces
Chapter 15: Continuity and Stability of Invariant Subspaces
Chapter 16: Perturbations of Lattices of Invariant Subspaces with Restrictions on the Jordan Structure
Chapter 17: Applications
Part Four: Analytic Properties of Invariant Subspaces. Chapter 18: Analytic Families of Subspaces
Chapter 19: Jordan Form of Analytic Matrix Functions
Chapter 20: Applications
Appendix: List of Notations and Conventions
References
Author Index
Subject Index.