Athanasios C Antoulas

Approximation of Large-Scale Dynamical Systems

• Broschiertes Buch

Produktbeschreibung

Provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 510
• Erscheinungstermin: 25. Juni 2009
• Englisch
• Abmessung: 247mm x 174mm x 24mm
• Gewicht: 889g
• ISBN-13: 9780898716580
• ISBN-10: 0898716586
• Artikelnr.: 26575615

Inhaltsangabe

Preface
Part I. Introduction: 1. Introduction
2. Motivating examples
Part II. Preliminaries: 3. Tools from matrix theory
4. Linear dynamical systems, Part 1
5. Linear dynamical systems, Part 2
6. Sylvester and Lyapunov equations
Part III. SVD-based Approximation Methods: 7. Balancing and balanced approximations
8. Hankel-norm approximation
9. Special topics in SVD-based approximation methods
Part IV. Krylov-based Approximation Methods: 10. Eigenvalue computations
11. Model reduction using Krylov methods
Part V. SVD-Krylov Methods and Case Studies: 12. SVD-Krylov methods
13. Case studies
14. Epilogue
15. Problems
Bibliography
Index.