A global optimization using interval arithmetic

Authors

  • Ismail Mohd

DOI:

https://doi.org/10.11113/mjfas.v2n1-2.17

Keywords:

Interval mathematics, Symmetric operator, Lagrange multiplier, Gauss algorithm,

Abstract

In order to establish an algorithm for bounding the global minimizers of a twice continuously differentiable function f :Rn → R1 in a given box ( a compact interval in Rn ) using interval arithmetic, which is superior in the sense of less time needed compared to other method ([2]), in this paper we will attempt to describe as much as possible the ideas which presents and fulfill the explicitly mentioned algorithm.

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Published

16-06-2014