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Könyv Hierarchical Matrices: Algorithms and Analysis Wolfgang Hackbusch

Hierarchical Matrices: Algorithms and Analysis

Szerző: Wolfgang Hackbusch
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
34 745 Ft
This self-contained monograph presents matrix algorithms and their analysis. The new technique enabl...

Információk a könyvről

Szerző
Wolfgang Hackbusch
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2015
oldal
511
EAN
9783662473238
ISBN
3662473232
Enbook ID
09285955
Kiadó
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Súly
962
Méretek
244 x 166 x 35

Teljes leírás

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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