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Approximation of Large-Scale Dynamical Systems
monograph
Author(s):
Athanasios C. Antoulas
Publication date
(Online):
May 25 2012
Publisher:
Society for Industrial and Applied Mathematics
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Journal of large-scale research facilities (JLSRF)
Author and book information
Book
ISBN (Print):
978-0-89871-529-3
ISBN (Electronic):
978-0-89871-871-3
Publication date (Print):
January 2005
Publication date (Online):
May 25 2012
DOI:
10.1137/1.9780898718713
SO-VID:
c4823d3d-d81c-471f-a28c-a93174ab1ec4
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Book chapters
pp. 3
1. Introduction
pp. 11
2. Motivating Examples
pp. 27
3. Tools from Matrix Theory
pp. 59
4. Linear Dynamical Systems: Part 1
pp. 123
5. Linear Dynamical Systems: Part 2
pp. 173
6. Sylvester and Lyapunov Equations
pp. 207
7. Balancing and Balanced Approximations
pp. 249
8. Hankel-Norm Approximation
pp. 277
9. Special Topics in SVD-Based Approximation Methods
pp. 313
10. Eigenvalue Computations
pp. 343
11. Model Reduction Using Krylov Methods
pp. 365
12. SVD—Krylov Methods
pp. 389
13. Case Studies
pp. 413
14. Epilogue
pp. 421
15. Problems
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