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Viser: Krylov Methods for Nonsymmetric Linear Systems - From Theory to Computations
Krylov Methods for Nonsymmetric Linear Systems
From Theory to Computations
Gérard Meurant og Jurjen Duintjer Tebbens
(2020)
Sprog: Engelsk
Detaljer om varen
- Hardback
- Udgiver: Springer International Publishing AG (Oktober 2020)
- Forfattere: Gérard Meurant og Jurjen Duintjer Tebbens
- ISBN: 9783030552503
This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations.
2. Q-OR and Q-MR methods.-
3. Bases for Krylov subspaces.-
4. FOM/GMRES and variants.-
5. Methods equivalent to FOM or GMRES-
6. Hessenberg/CMRH
.-
7. BiCG/QMR and Lanczos algorithms
.-
8. Transpose-free Lanczos methods.-
9. The IDR family.-
10. Restart, deflation and truncation
.-
11. Related topics.-
12. Numerical comparison of methods.- A. Test matrices and short biographical notices.- References.- Index.