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Title: On global quadratic growth condition for min-max optimization problems with quadratic functions
Authors: Chen, Z
Yang, X 
Keywords: Global second-order sufficient condition
Mathematical programming
Min-max problems with quadratic functions
Quadratic growth condition
Issue Date: 2015
Publisher: Taylor and Francis Ltd.
Source: Applicable analysis, 2015, v. 94, no. 1, p. 144-152 How to cite?
Journal: Applicable Analysis 
Abstract: Second-order sufficient condition and quadratic growth condition play important roles both in sensitivity and stability analysis and in numerical analysis for optimization problems. In this article, we concentrate on the global quadratic growth condition and study its relations with global second-order sufficient conditions for min-max optimization problems with quadratic functions. In general, the global second-order sufficient condition implies the global quadratic growth condition. In the case of two quadratic functions involved, we have the equivalence of the two conditions.
ISSN: 0003-6811
DOI: 10.1080/00036811.2014.908286
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