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

326 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

0 0 0
Like this paper and download? You can publish your own PDF file online for free in a few minutes! Sign Up

Recommend Papers

Numerical Methods for Stiff Equations and Singular Perturbation Problems: and Singular Perturbation Problems 140200298X, 9781402002984

Approach your problems from It isn't that they can't see the the right end and begin with the solution. It is

108 87 17MB Read more

Small Perturbation Theory

363 80 6MB Read more

Small Perturbation Theory 9781400879021

Part of the Princeton Aeronautical Paperback series designed to bring to students and research engineers outstanding por

98 24 4MB Read more

Introduction to Matrix Theory [1st ed. 2021] 3030804801, 9783030804800

This book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in

155 116 1MB Read more

The Matrix Perturbation Method in Quantum Mechanics 3031485459, 9783031485459

This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics

101 13 Read more

Estimates for non-resonant normal forms in Hamiltonian perturbation theory

394 7 458KB Read more

Geometric Perturbation Theory In Physics 9971501368, 9789971501365

This book which focusses on mechanics, waves and statistics, describes recent developments in the application of differe

101 12 Read more

Spectral and Scattering Theory for Ordinary Differential Equations: Vol. I: Sturm–Liouville Equations [1st ed. 2020] 3030590879, 9783030590871

This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Stu

116 33 5MB Read more

Formalization of Complex Analysis and Matrix Theory [1st ed.] 9789811572609, 9789811572616

This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering

294 51 15MB Read more

Solutions to Linear Matrix Equations and Their Applications 9782759831036

This book addresses both the basic and applied aspects of the finite iterative algorithm, CGLS iterative algorithm, and

118 35 2MB Read more