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Real solution isolation using interval arithmetic

Authors
Journal
Computers & Mathematics with Applications
0898-1221
Publisher
Elsevier
Publication Date
Volume
52
Identifiers
DOI: 10.1016/j.camwa.2006.06.003
Keywords
  • Real Solution Isolation
  • Interval Arithmetic
  • Polynomial Systems
  • Semialgebraic Systems
  • Maple
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract We propose a complete algorithm for real solution isolation for semialgebraic systems by using interval arithmetic. The algorithm is implemented as a Maple program Nrealzero and its performance on several examples is reported.

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