Perturbation theory for matrix equations
The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The pertu...
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| Format: | eBook |
| Language: | English |
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Amsterdam
Elsevier
2003, 2003
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| Edition: | 1st ed |
| Series: | Studies in computational mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Perturbation problems
- Problems with explicit solutions
- Problems with implicit solutions
- Lyapunov majorants
- Singular problems
- Perturbation bounds
- General Sylvester equations
- Specific Sylvester equations
- General Lyapunov equations
- Lyapunov equations in control theory
- General quadratic equations
- Continuous-time Riccati equations
- Coupled Riccati equations
- General fractional-affine equations
- Symmetric fractional-affine equations
- Appendix A: Elements of algebra and analysis
- Appendix B: Unitary and orthogonal decompositions
- Appendix C: Kronecker product of metrices
- Appendix D: Fixed point principles
- Appendix E: Sylvester operators
- Appendix F: Lyapunov operators
- Appendix G: Lyapunov-like operators
- Appendix H: Notation
- Includes bibliographical references and index