Hierarchical Matrices: Algorithms and Analysis

Name: Hierarchical Matrices: Algorithms and Analysis
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783662473238
Price: 489.09 RON
Availability: InStock

Autor: Wolfgang Hackbusch

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Legare: Copertă tare

Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Disponibilitate: În depozitul extern

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This self-contained monograph presents matrix algorithms and their analysis. The new technique enabl...

Informații despre carte

Autor

Wolfgang Hackbusch

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2015

Pagini

511

EAN

9783662473238

ISBN

3662473232

Enbook ID

09285955

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

962

Dimensiuni

244 x 166 x 35

Descriere completă

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 controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition.§§Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.§§

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Hierarchical Matrices: Algorithms and Analysis

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