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Numerical Verification of Second-Order Sufficiency Conditions for Nonlinear Programming

✍ Scribed by Terrence K. Kelly and Michael Kupferschmid

Book ID
124946535
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
372 KB
Volume
40
Category
Article
ISSN
0036-1445

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πŸ“œ SIMILAR VOLUMES

Second-order sufficient optimality condi
Second-order sufficient optimality conditions for local and global nonlinear programming
✍ 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

Optimization methods for the verificatio
Optimization methods for the verification of second order sufficient conditions for bang–bang controls
✍ H. Maurer; C. BΓΌskens; J.-H. R. Kim; C. Y. Kaya πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 263 KB

## Abstract It has been common practice to find controls satisfying only necessary conditions for optimality, and then to use these controls assuming that they are (locally) optimal. However, sufficient conditions need to be used to ascertain that the control rule is optimal. Second order sufficien