Name: Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics, 49) (en Inglés)
Price: 348764.00 COP
Availability: InStock
Author: Wolfgang Hackbusch
ISBN: 9783662568941

portada Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics, 49) (en Inglés)

Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics, 49) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Wolfgang Hackbusch

Idioma

Inglés

N° páginas

511

Encuadernación

Tapa Blanda

ISBN13

9783662568941

N° edición

Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics, 49) (en Inglés)

Wolfgang Hackbusch (Autor) · Springer · Tapa Blanda

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Reseña del libro "Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics, 49) (en Inglés)"

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 hierarchicalmatrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.