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Digitale Medien

Second-order sufficient optimality conditions for local and global nonlinear programming (1996)

Neumaier, Arnold

Springer

Journal of global optimization 9 (1996), S. 141-151

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ISSN: 1573-2916

Schlagwort(e): Global optimization ; optimality condition ; second-order sufficient condition ; verification of convexity ; interval analysis ; primary 90C30 ; secondary 65G10

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract This paper presents a new approach to the sufficient conditions of nonlinear programming. Main result is a sufficient condition for the global optimality of a Kuhn-Tucker point. This condition can be verified constructively, using a novel convexity test based on interval analysis, and is guaranteed to prove global optimality of strong local minimizers for sufficiently narrow bounds. Hence it is expected to be a useful tool within branch and bound algorithms for global optimization.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00121660

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