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Kapcsolat

Hierarchical Matrices: Algorithms and Analysis

Szerző: Wolfgang Hackbusch

Nyelv:

Kötés: Puha 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 - Puha kötésű

Kiadva

2019

oldal

511

EAN

9783662568941

Enbook ID

21073940

Kiadó

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Súly

819

Méretek

155 x 235 x 29

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.