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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; Boston :
Elsevier,
2003.
|
| Edición: | 1st ed. |
| Colección: | Studies in computational mathematics ;
9. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- 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.