| 书目名称 | Hierarchical Matrices: Algorithms and Analysis |
| 编辑 | Wolfgang Hackbusch |
| 视频video | |
| 概述 | Matrix algorithms of almost linear cost.Application to matrix equations and matrix functions.Self-contained contents by means of five appendices.Includes supplementary material: |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2015 |
| 关键词 | efficient matrix algorithms; matrix equations; matrix functions; matrix inversion and LU decomposition; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-47324-5 |
| isbn_softcover | 978-3-662-56894-1 |
| isbn_ebook | 978-3-662-47324-5Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer-Verlag Berlin Heidelberg 2015 |
发表于 2025-3-21 16:12:25
