### Abstract

Numerical experiments are given for solving the discretized problems derived from the boundary value problems of partial differential equation (PDE) on the shared memory parallel machine Origin 2400 with 8 processors. In particular, several numerical results of two dimensional convection diffusion problems are reported. This paper presents a theoretical and a practical point of view that the preconditioner created by minimal residual (MR) algorithm is useful in improving the convergence of restarted GMRES(m) algorithm.

Original language | English |
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Title of host publication | Proceedings of the Third International Conference on Engineering Computational Technology |

Editors | B.H.V. Topping, Z. Bittnar, B.H.V. Topping, Z. Bittnar |

Pages | 115-116 |

Number of pages | 2 |

Publication status | Published - 2002 Dec 1 |

Event | Proceedings of the Third International Conference on Engineering Computational Technology - Prague, Czech Republic Duration: 2002 Sep 4 → 2002 Sep 6 |

### Publication series

Name | Proceedings of the Third International Conference on Engineering Computational Technology |
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### Other

Other | Proceedings of the Third International Conference on Engineering Computational Technology |
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Country | Czech Republic |

City | Prague |

Period | 02/9/4 → 02/9/6 |

### Keywords

- Approximate inverses
- GMRES algorithm
- Minimal residual algorithm
- Preconditioning
- Sparse linear systems
- Threshold dropping strategies

### ASJC Scopus subject areas

- Engineering(all)

## Fingerprint Dive into the research topics of 'Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400'. Together they form a unique fingerprint.

## Cite this

Tanaka, T., & Nodera, T. (2002). Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400. In B. H. V. Topping, Z. Bittnar, B. H. V. Topping, & Z. Bittnar (Eds.),

*Proceedings of the Third International Conference on Engineering Computational Technology*(pp. 115-116). (Proceedings of the Third International Conference on Engineering Computational Technology).