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Hierarchical Matrices : Algorithms and Analysis (Hardcover) (Wolfgang Hackbusch)

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About this item

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.

Number of Pages: 540
Genre: Mathematics, Computers + Internet
Sub-Genre: Differential Equations, Number Systems, Programming / Algorithms
Series Title: Springer Computational Mathematics
Format: Hardcover
Publisher: Springer Verlag
Author: Wolfgang Hackbusch
Language: English
Street Date: December 21, 2015
TCIN: 50809308
UPC: 9783662473238
Item Number (DPCI): 248-11-7210
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