Value functions and error bounds of trust region methods

Authors:
Wenling Zhao;Changyu Wang
Affiliations:
School of Mathematics and Information Science, Shandong University of Technology, Zibo, Shandong, P. R. China;Inst. of Operations Research, Qufu Normal University, Qufu, Shandong, P. R. China
Venue:
Journal of Applied Mathematics and Computing
Year:
2007

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Abstract

This paper studies some properties of the value functions and gives some sufficient and necessary conditions about the presented global error and local error. And it leads to one kind of relationship between iterative points and optimal solution or K-T point.