Volume 5, Issue 1
A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems

Yingzhe Fan & Zhangxin Chen

DOI:

Int. J. Numer. Anal. Mod. B, 5 (2014), pp. 21-30

Published online: 2014-05

Preview Full PDF 387 1259
Export citation
  • Abstract

Motivated by the paper [16], where the authors proposed a method to solve a symmetric positive definite (SPD) system Ax = b via a sparse-sparse iterative-based projection method, we extend this method to nonsymmetric linear systems and propose a modified method to construct a sparse approximate inverse preconditioner by using the Frobenius norm minimization technique in this paper. Numerical experiments indicate that this new preconditioner appears more robust and takes less time of constructing than the popular parallel sparse approximate inverse preconditioner (PSM) proposed in [6].

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAMB-5-21, author = {Yingzhe Fan and Zhangxin Chen}, title = {A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2014}, volume = {5}, number = {1}, pages = {21--30}, abstract = {Motivated by the paper [16], where the authors proposed a method to solve a symmetric positive definite (SPD) system Ax = b via a sparse-sparse iterative-based projection method, we extend this method to nonsymmetric linear systems and propose a modified method to construct a sparse approximate inverse preconditioner by using the Frobenius norm minimization technique in this paper. Numerical experiments indicate that this new preconditioner appears more robust and takes less time of constructing than the popular parallel sparse approximate inverse preconditioner (PSM) proposed in [6].}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/216.html} }
TY - JOUR T1 - A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems AU - Yingzhe Fan & Zhangxin Chen JO - International Journal of Numerical Analysis Modeling Series B VL - 1 SP - 21 EP - 30 PY - 2014 DA - 2014/05 SN - 5 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/216.html KW - AB - Motivated by the paper [16], where the authors proposed a method to solve a symmetric positive definite (SPD) system Ax = b via a sparse-sparse iterative-based projection method, we extend this method to nonsymmetric linear systems and propose a modified method to construct a sparse approximate inverse preconditioner by using the Frobenius norm minimization technique in this paper. Numerical experiments indicate that this new preconditioner appears more robust and takes less time of constructing than the popular parallel sparse approximate inverse preconditioner (PSM) proposed in [6].
Yingzhe Fan & Zhangxin Chen. (1970). A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems. International Journal of Numerical Analysis Modeling Series B. 5 (1). 21-30. doi:
Copy to clipboard
The citation has been copied to your clipboard