Comparison of Two Sets of First-order Conditions as Bases of Interior-Point Newton Methods for Optimization with Simple Bounds

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dc.contributor.authorJamrog, Diane C.
dc.contributor.authorTapia, Richard A.
dc.contributor.authorZhang, Yin
dc.date.accessioned2018-06-18T17:48:43Z
dc.date.available2018-06-18T17:48:43Z
dc.date.issued2001-06
dc.date.noteJune 2001
dc.description.abstractIn this paper, we compare the behavior of two Newton interior-point methods derived from two different first-order necessary conditions for the same nonlinear optimization problem with simple bounds. One set of conditions was proposed by Coleman and Li; the other is the standard KKT set of conditions. We discuss a perturbation of the CL conditions for problems with one-sided bounds and the difficulties involved in extending this to problems with general bounds. We study the numerical behavior of the Newton method applied to the systems of equations associated with the unperturbed and perturbed necessary conditions. Preliminary numerical results for convex quadratic objective functions indicate that, for this class of problems, Newton's method based on the perturbed KKT formulation appears to be the most robust.
dc.format.extent24 pp
dc.identifier.citationJamrog, Diane C., Tapia, Richard A. and Zhang, Yin. "Comparison of Two Sets of First-order Conditions as Bases of Interior-Point Newton Methods for Optimization with Simple Bounds." (2001) <a href="https://hdl.handle.net/1911/101978">https://hdl.handle.net/1911/101978</a>.
dc.identifier.digitalTR01-17
dc.identifier.urihttps://hdl.handle.net/1911/101978
dc.language.isoeng
dc.titleComparison of Two Sets of First-order Conditions as Bases of Interior-Point Newton Methods for Optimization with Simple Bounds
dc.typeTechnical report
dc.type.dcmiText
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