Paper Info

Title | ||
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On a Theoretical Justification of the Choice of Epsilon-Inflation in PASCAL-XSC |

Abstract | ||
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In many interval computation methods, if we cannot guarantee a solution within a given interval, it often makes sense to "inflate" this interval a little bit. There exist many different "inflation" methods. The authors of PASCAL-XSC, after empirically comparing the behavior of different inflation methods, decided to implement the formula [x-,x+]e = [(1 + e)x- - e · x+, (1 + e)x+ - e · x-]. A natural question is: Is this choice really optimal (in some reasonable sense), or is it only an empirical approximation to the truly optimal choice? |

Year | DOI | Venue |
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1997 | 10.1023/A:1009905822286 | Reliable Computing |

Keywords | Field | DocType |

Mathematical Modeling, Computational Mathematic, Computation Method, Industrial Mathematic, Optimal Choice | Discrete mathematics,Mathematical optimization,Interval arithmetic,Inflation,Mathematics | Journal |

Volume | Issue | ISSN |

3 | 4 | 1573-1340 |

Citations | PageRank | References |

2 | 0.80 | 0 |

Authors | ||

3 |

Authors (3 rows)

Cited by (2 rows)

References (0 rows)

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

Vladik Kreinovich | 1 | 1091 | 281.07 |

Scott A. Starks | 2 | 61 | 12.76 |

Günter Mayer | 3 | 40 | 15.29 |