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Please use this identifier to cite or link to this item: http://hdl.handle.net/1813/6159
Title: Centering, Trust Region, Reflective Techniques for Nonlinear Minimization Subject to Bounds
Authors: Li, Yuying
Keywords: computer science
technical report
Issue Date: Sep-1993
Publisher: Cornell University
Citation: http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR93-1385
Abstract: Bound-constrained nonlinear minimization problems occur frequently in practice. Most existing methods belong to an active set type which can be slow for large scale problems. Recently, we proposed a new approach [7,6,8] which generates iterates within the strictly feasible region. The method in [8] is a trust region type and, unlike the existing trust region method for bound-constrained problems, the conditions for its strong convergence properties are consistent with algorithm implementation. A reflective technique can be included in the method. In this paper, we motivate techniques which are important for our new approach. Numerical experience on some medium size problems is included.
URI: http://hdl.handle.net/1813/6159
Appears in Collections:Computer Science Technical Reports

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