Year: 2001
Author: Xin-Wei Liu, Ya-Xiang Yuan
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 3 : pp. 309–322
Abstract
The trust region approach has been extended to solving nonlinear constrained optimization. Most of these extensions consider only equality constraints and require strong global regularity assumptions. In this paper, a trust region algorithm for solving general nonlinear programming is presented, which solves an unconstrained piecewise quadratic trust region subproblem and a quadratic programming trust region subproblem at each iteration. A new technique for updating the penalty parameter is introduced. Under very mild conditions, the global convergence results are proved. Some local convergence results are also proved. Preliminary numerical results are also reported.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8983
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 3 : pp. 309–322
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Trust region algorithm Nonlinear programming.