Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/100872
Title: Tilt stability for quadratic programs with one or two quadratic inequality constraints
Authors: Nguyen, Huy Chieu
Le, Van Hien
Nguyen, Thi Quynh Trang
Keywords: Tilt stability
Strong second-order sufficient condition
Metric subregularity constraint qualification
Quadratic program
Quadratic inequality constraint
Issue Date: 2020
Series/Report no.: Acta mathematica Vietnamica journal;Vol.45, No.02 .- P.477-499
Abstract: This paper examines tilt stability for quadratic programs with one or two quadratic inequality constraints. Exploiting specific features of these problems and using some known results on tilt stability in nonlinear programming, we establish quite simple characterizations of tilt-stable local minimizers for quadratic programs with one quadratic inequality constraint under metric subregularity constraint qualification. By the same way, we also derive various tilt stability conditions for quadratic programs with two quadratic inequality constraints and satisfying certain suitable assumptions. Especially, the obtained results show that some tilt stability conditions only known to be sufficient in nonlinear programming become the necessary ones when the considered problems are quadratic programs with one or two quadratic inequality constraints.
URI: https://dspace.ctu.edu.vn/jspui/handle/123456789/100872
ISSN: 0251-4184
Appears in Collections:Acta Mathematica Vietnamica 

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