, Volume 34, Issue 3, pp 247-270

Global optimization using interval analysis — the multi-dimensional case

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Summary

We show how interval analysis can be used to compute the global minimum of a twice continuously differentiable function ofn variables over ann-dimensional parallelopiped with sides parallel to the coordinate axes. Our method provides infallible bounds on both the globally minimum value of the function and the point(s) at which the minimum occurs.