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Global optimization in Hilbert space
Journal article

Global optimization in Hilbert space

Abstract

We propose a complete-search algorithm for solving a class of non-convex, possibly infinite-dimensional, optimization problems to global optimality. We assume that the optimization variables are in a bounded subset of a Hilbert space, and we determine worst-case run-time bounds for the algorithm under certain regularity conditions of the cost functional and the constraint set. Because these run-time bounds are independent of the number of …

Authors

Houska B; Chachuat B

Journal

Mathematical Programming, Vol. 173, No. 1-2, pp. 221–249

Publisher

Springer Nature

Publication Date

1 2019

DOI

10.1007/s10107-017-1215-7

ISSN

0025-5610