Description: Hierarchical Matrices: Algorithms and Analysis Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Wolfgang Hackbusch Format: Paperback Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K ISBN-13: 9783662568941, 978-3662568941 Synopsis 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, [url] the matrix exponential. Other applications include the solution of matrix equations, [url] 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.
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Book Title: Hierarchical Matrices: Algorithms and Analysis
Number of Pages: 511 Pages
Language: English
Publication Name: Hierarchical Matrices: Algorithms and Analysis
Publisher: Springer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
Publication Year: 2019
Subject: Mathematics
Item Height: 235 mm
Item Weight: 819 g
Type: Textbook
Author: Wolfgang Hackbusch
Series: Springer Series in Computational Mathematics
Item Width: 155 mm
Format: Paperback
