Hierarchical Matrices: Algorithms and Analysis
This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix.The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllabl…
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Produktdetails
- ISBN: 978-3-662-47324-5
- EAN: 9783662473245
- Produktnummer: 19303205
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2015
- Seitenangabe: 511 S.
- Plattform: PDF
- Masse: 5'260 KB
- Auflage: 1st ed. 2015
- Abbildungen: 60 schwarz-weiße und 27 farbige Abbildungen, Bibliographie
- Reihenbandnummer: 49
Über den Autor
The author is a very well-known author of Springer, working in the field of numerical mathematics for partial differential equations and integral equations. He has published numerous books in the SSCM series, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and a book in German about the technique of hierarchical matrices. Hackbusch is member of the editorial board of Springer' s book series Advances in Numerical Mathematics, The International Cryogenics Monograph Series and has now joined as new member of the editorial board of Springer Series of Computational Mathematics.
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