On first zero crossing points

M A Wolfe

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Three algorithms, FZ1, FZ2 and FZ3 for bounding the first zero crossing point of a set of univariate functions on a bounded closed interval are described. Extended interval arithmetic is used in both FZ2 and FZ3. Automatic derivative arithmetic is used in FZ2 and automatic slope arithmetic is used in FZ3. Numerical results are presented. (C) 2003 Elsevier Inc. All rights reserved.

Original languageEnglish
Pages (from-to)467-479
Number of pages13
JournalApplied Mathematics and Computation
Volume150
Issue number2
DOIs
Publication statusPublished - 8 Mar 2004

Keywords

  • interval mathematics
  • automatic derivative and slope arithmetic
  • the interval Newton operator
  • EQUATIONS

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