2007Journal of Hunan UniversityRequires access

Projection and Contraction Methods for Semidefinite Programming

Liu Tao-wen

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Abstract

We first perturb the general semidefinte programming into a quadratic semidefinite programming,which,in its dual variable space,is equivalent to a linear projection equation.Then,we propose a class of projection and contraction methods for semidefinte programming and establish their global convergence.

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What this paper is about

We first perturb the general semidefinte programming into a quadratic semidefinite programming,which,in its dual variable space,is equivalent to a linear projection equation.Then,we propose a class of projection and contraction methods for semidefinte programming and establish their global convergence.

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Available abstract

We first perturb the general semidefinte programming into a quadratic semidefinite programming,which,in its dual variable space,is equivalent to a linear projection equation.Then,we propose a class of projection and contraction methods for semidefinte programming and establish their global convergence.

Key concepts: Semidefinite programming, Contraction (grammar), Quadratic programming, Projection (relational algebra), Mathematics, Mathematical optimization, Linear programming, Semidefinite embedding

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