2004•Journal of Xidian UniversityRequires access

A cut-plane algorithm for semidefinite programmingand its application

Liu Hongwei

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Abstract

A cut plane algorithm for semidefinite programming is presented in this paper, which relaxs the semidefinite programming to a linear programming, thus solving large scale semidefinite programming effeciently. Its covergence is proved. As an application, a numerical example of the Max-cut problme is given.

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A cut plane algorithm for semidefinite programming is presented in this paper, which relaxs the semidefinite programming to a linear programming, thus solving large scale semidefinite programming effeciently. Its covergence is proved. As an application, a numerical example of the Max-cut problme is given.

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Available abstract

A cut plane algorithm for semidefinite programming is presented in this paper, which relaxs the semidefinite programming to a linear programming, thus solving large scale semidefinite programming effeciently. Its covergence is proved. As an application, a numerical example of the Max-cut problme is given.

Key concepts: Semidefinite programming, Semidefinite embedding, Cutting-plane method, Linear programming, Algorithm, Mathematics, Plane (geometry), Maximum cut

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