Year: 2001
Author: Xiong-Da Chen, Ya-Xiang Yuan
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 113–124
Abstract
In this paper, we show the geometry meaning of the maxima of the CDT subproblem's dual function. We also studied the continuity of the global solution of the trust region subproblem. Based on an approximation model, we prove that the global solution of the CDT subproblem is given with the Hessian of Lagrangian positive semi-definite by some specially-located dual maxima and by restricting the location region of the multipliers which corresponding a global solution in other cases.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8962
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 113–124
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Trust region subproblem Global minimizer Approximation.