Alternative Second-Order Conditions in Constrained Optimization

H. Weiss and J. Z. Ben-Asher
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H. Weiss: Israel Institute of Technology
J. Z. Ben-Asher: Israel Institute of Technology

Journal of Optimization Theory and Applications, 2001, vol. 109, issue 2, No 12, 455 pages

Abstract: Abstract New formulations are given for the second-order necessary conditions in parameter optimization with equality constraints. The new conditions are shown to be equivalent to previously known conditions by using the properties of projection matrices. The various conditions require different computational tools. As one of the obtained conditions requires standard computational tools (i.e., matrix inversion and eigenvalue computation), it might be useful in applications (e.g., real-time optimization schemes), when these standard tools are already in use.

Keywords: second-order conditions; constrained optimization; equality constraints (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017578708942

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