Paper Info

Title | ||
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Interval arithmetic block cyclic reduction on vector computers |

Abstract | ||
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We introduce several algorithms for interval arithmetic block cyclic reduction for efficient application to vector computers under the condition that interval arithmetic inclusion properties be preserved. Interval arithmetic block cyclic reduction is used as part of almost globally convergent Newton-like methods for some classes of large nonlinear systems of equations. We further introduce truncated variants of the above algorithms and discuss their integration into nonlinear methods. We report numerical results carried out on a CRAY-1/M. |

Year | DOI | Venue |
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1987 | 10.1016/0743-7315(87)90019-0 | J. Parallel Distrib. Comput. |

Keywords | Field | DocType |

vector computer,interval arithmetic block cyclic,interval arithmetic | Nonlinear systems of equations,Algebra,Affine arithmetic,Arbitrary-precision arithmetic,Nonlinear methods,Interval arithmetic,Saturation arithmetic,Mathematics,Cyclic reduction | Journal |

Volume | Issue | ISSN |

4 | 5 | Journal of Parallel and Distributed Computing |

Citations | PageRank | References |

1 | 0.63 | 3 |

Authors | ||

1 |

Authors (1 rows)

Cited by (1 rows)

References (3 rows)

Name | Order | Citations | PageRank |
---|---|---|---|

Hartmut Schwandt | 1 | 15 | 5.89 |