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Please use this identifier to cite or link to this item: http://hdl.handle.net/1813/5486
Title: A Reflective Newton Method for Minimizing a Quadratic Function Subject to Bounds on Some of the Variables
Authors: Coleman, Thomas F.
Li, Yuying
Keywords: theory center
Issue Date: Nov-1992
Publisher: Cornell University
Citation: http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/92-111
Abstract: We propose a new algorithm, a reflective Newton method, for the minimization of a quadratic function of many variables subject to upper and lower bounds on some of the variables. This method applies to a general (indefinite) quadratic function, for which a local minimizer subject to bounds is required, and is particularly suitable for the large-scale problem. Our new method exhibits strong convergence properties, global and quadratic convergence, and appears to have significant practical potential. Strictly feasible points are generated. Experimental results on moderately large and sparse problems support the claim of practicality for large-scale problems.
URI: http://hdl.handle.net/1813/5486
Appears in Collections:Cornell Theory Center Technical Reports

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