Ebook Info
- Published: 2015
- Number of pages: 536 pages
- Format: PDF
- File Size: 5.02 MB
- Authors: Wolfgang Hackbusch
Description
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.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐
⭐
Keywords
Free Download Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics Book 49) in PDF format
Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics Book 49) PDF Free Download
Download Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics Book 49) 2015 PDF Free
Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics Book 49) 2015 PDF Free Download
Download Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics Book 49) PDF
Free Download Ebook Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics Book 49)