### Abstract

This paper presents a new preconditioning technique for shifted linear systems of equations. It is based on GMRES method with an approximate inverse preconditioner which is developed in a parallel implementation of Sherman-Morrison formula. Numerical examples show that this technique gives an effective scheme than the other procedures, at a low cost of computation.

Original language | English |
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Title of host publication | Proceedings of the 2008 International Conference on Scientific Computing, CSC 2008 |

Pages | 382-387 |

Number of pages | 6 |

Publication status | Published - 2008 Dec 1 |

Event | 2008 International Conference on Scientific Computing, CSC 2008 - Las Vegas, NV, United States Duration: 2008 Jul 14 → 2008 Jul 17 |

### Publication series

Name | Proceedings of the 2008 International Conference on Scientific Computing, CSC 2008 |
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### Other

Other | 2008 International Conference on Scientific Computing, CSC 2008 |
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Country | United States |

City | Las Vegas, NV |

Period | 08/7/14 → 08/7/17 |

### Keywords

- Factorized sparse approximate inverse
- Parallel preconditioner
- Preconditioned Krylov subspace method
- Sherman-Morrison formula
- Shifted linear systems

### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Computer Science Applications
- Software

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## Cite this

Moriya, K., & Nodera, T. (2008). Parallel implementation of AISM preconditioner for shifted linear systems of equations. In

*Proceedings of the 2008 International Conference on Scientific Computing, CSC 2008*(pp. 382-387). (Proceedings of the 2008 International Conference on Scientific Computing, CSC 2008).