Hierarchical Matrices Algorithms and Analysis is popular PDF and ePub book, written by Wolfgang Hackbusch in 2015, it is a fantastic choice for those who relish reading online the Uncategoriezed genre. Let's immerse ourselves in this engaging Uncategoriezed book by exploring the summary and details provided below. Remember, Hierarchical Matrices Algorithms and Analysis can be Read Online from any device for your convenience.
Hierarchical Matrices Algorithms and Analysis Book PDF Summary
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.
Detail Book of Hierarchical Matrices Algorithms and Analysis PDF
- Author : Wolfgang Hackbusch
- Release : 21 September 2024
- Publisher : Unknown
- ISBN : 3662473259
- Genre : Uncategoriezed
- Total Page : null pages
- Language : English
- PDF File Size : 14,5 Mb
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