In this paper, new ideas have been incorporated to a basic interval branch-and-bound algorithm which solves the problem of finding zeros in one-dimensional functions. These new ideas are based on the combination of a new rejection criterion, a selection strategy and an easy-to-obtain precondition of the problem at hand. The methodology described here focuses on finding the first zero crossing point, allowing the search of other zero crossing points to be avoided. In addition, a heuristic subdivision criterion has been proposed that, compared to bisection rule, provides improvements in most of the forty problems that have been tested.
Reliable Computing – Springer Journals
Published: Oct 7, 2004
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