2010Unpublished venueRequires access

Sufficient global optimality conditions for some nonconvex quadratic program problems

Jia Zhang, Zhiyuan Tian

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Abstract

In this paper, a class of quadratic program problem with quadratic constrains is studied. Some sufficient global optimality conditions for some nonconvex quadratic program problems with quadratic constrains are presented according to the property of L- subdifferential. We also prove that, in the special cases, some sufficient global optimality conditions can be obtained at the same time.

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What this paper is about

In this paper, a class of quadratic program problem with quadratic constrains is studied. Some sufficient global optimality conditions for some nonconvex quadratic program problems with quadratic constrains are presented according to the property of L- subdifferential. We also prove that, in the special cases, some sufficient global optimality conditions can be obtained at the same time.

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Available abstract

In this paper, a class of quadratic program problem with quadratic constrains is studied. Some sufficient global optimality conditions for some nonconvex quadratic program problems with quadratic constrains are presented according to the property of L- subdifferential. We also prove that, in the special cases, some sufficient global optimality conditions can be obtained at the same time.

Key concepts: Quadratic equation, Quadratic programming, Mathematical optimization, Property (philosophy), Quadratically constrained quadratic program, Class (philosophy), Quadratic model, Mathematics

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