Perturbation Theory for Matrix Equations [1st ed] 9780080538679, 9780444513151, 0444513159

The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it

327 59 2MB

English Pages 1-429 [443] Year 2003

Table of contents :
Content:
Preface
Pages v-vi

Chapter 1 Introduction
Pages 1-7

Chapter 2 Perturbation problems Original Research Article
Pages 9-28

Chapter 3 Problems with explicit solutions Original Research Article
Pages 29-50

Chapter 4 Problems with implicit solutions Original Research Article
Pages 51-75

Chapter 5 Lyapunov majorants Original Research Article
Pages 77-101

Chapter 6 Singular problems Original Research Article
Pages 103-111

Chapter 7 Perturbation bounds Original Research Article
Pages 113-120

Chapter 8 General sylvester equations Original Research Article
Pages 121-154

Chapter 9 Specific Sylvester equations Original Research Article
Pages 155-173

Chapter 10 General Lyapunov equations Original Research Article
Pages 175-200

Chapter 11 Lyapunov equations in control theory Original Research Article
Pages 201-221

Chapter 12 General quadratic equations Original Research Article
Pages 223-238

Chapter 13 Continuous-time Riccati equations Original Research Article
Pages 239-266

Chapter 14 Coupled Riccati equations Original Research Article
Pages 267-285

Chapter 15 General fractional-affine equations Original Research Article
Pages 287-302

Chapter 16 Symmetric fractional-affine equations Original Research Article
Pages 303-326

Appendix A Elements of algebra and analysis
Pages 327-343

Appendix B Unitary and orthogonal decompositions
Pages 345-355

Appendix C Kronecker product of matrices
Pages 357-361

Appendix D Fixed point principles
Pages 363-369

Appendix E Sylvester operators
Pages 371-377

Appendix F Lyapunov operators
Pages 379-395

Appendix G Lyapunov-like operators
Pages 397-400

Appendix H Notation
Pages 401-406

Bibliography
Pages 407-424

Index
Pages 425-429

Perturbation Theory for Matrix Equations [1st ed]
9780080538679, 9780444513151, 0444513159

Author / Uploaded
C.K. Chui
P. Monk and L. Wuytack (Eds.)

Similar Topics
Mathematics

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