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Hierarchical Matrices: Algorithms and Analysis

Автор: Wolfgang Hackbusch

Език:

Корици: С меки корици

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

Наличност: Външен склад

Изпращаме след 10-18 дни

98.10 € 191.86 лв

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

Информация за книгата

Автор

Wolfgang Hackbusch

Език

Английски език

Корици

Книга - С меки корици

Издадена

2019

страници

511

EAN

9783662568941

Enbook ID

21073940

Издател

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Теглоt

819

Размери

155 x 235 x 29

Пълно описание

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.