On Maxima of Dual Function of the CDT Subproblem

On Maxima of Dual Function of the CDT Subproblem

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.

Author Details

Xiong-Da Chen

Ya-Xiang Yuan