Wolfgang Hackbusch

(Author)

Hierarchical Matrices: Algorithms and Analysis (Softcover Reprint of the Original 1st 2015)Paperback - Softcover Reprint of the Original 1st 2015, 14 March 2019

Hierarchical Matrices: Algorithms and Analysis (Softcover Reprint of the Original 1st 2015)
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Part of Series
Springer Computational Mathematics
Part of Series
Springer Series in Computational Mathematics
Print Length
511 pages
Language
English
Publisher
Springer
Date Published
14 Mar 2019
ISBN-10
3662568942
ISBN-13
9783662568941

Description

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.

Product Details

Author:
Wolfgang Hackbusch
Book Edition:
Softcover Reprint of the Original 1st 2015
Book Format:
Paperback
Country of Origin:
NL
Date Published:
14 March 2019
Dimensions:
23.39 x 15.6 x 2.77 cm
ISBN-10:
3662568942
ISBN-13:
9783662568941
Language:
English
Location:
Berlin, Heidelberg
Pages:
511
Publisher:
Weight:
748.43 gm

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