The Determination of Sub-boxes Which Might Containthe Global Minimizer(s) Using Interval Arithmetic

Ismail Mohd · 1990

In this paper, a method for obtaining sub-boxes which bound the Kuhn-Tucker point using interval arithmetic is presented. This method is designed such that the generation of too many sub-boxes, as described in section 12 of (Hansen, 1980), is prevented while it is simultaneously used to compute the Lagrange multipliers as described in (Robinson, 1973).

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