### 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 |

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

### 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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

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

**Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400.** / Tanaka, Toshiyuki; Nodera, T.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the Third International Conference on Engineering Computational Technology.*pp. 115-116, Proceedings of the Third International Conference on Engineering Computational Technology, Prague, Czech Republic, 02/9/4.

}

TY - GEN

T1 - Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400

AU - Tanaka, Toshiyuki

AU - Nodera, T.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Approximate inverses

KW - GMRES algorithm

KW - Minimal residual algorithm

KW - Preconditioning

KW - Sparse linear systems

KW - Threshold dropping strategies

UR - http://www.scopus.com/inward/record.url?scp=0036922656&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036922656&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0036922656

SN - 0948749857

SP - 115

EP - 116

BT - Proceedings of the Third International Conference on Engineering Computational Technology

A2 - Topping, B.H.V.

A2 - Bittnar, Z.

A2 - Topping, B.H.V.

A2 - Bittnar, Z.

ER -