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A second-order pruning step for verified global optimization

✍ Scribed by Marco Schnurr


Book ID
106414607
Publisher
Springer US
Year
2008
Tongue
English
Weight
485 KB
Volume
44
Category
Article
ISSN
0925-5001

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Second-order sufficient optimality condi
✍ Arnold Neumaier πŸ“‚ Article πŸ“… 1996 πŸ› Springer US 🌐 English βš– 678 KB

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