Solving problems with semidefintie and related constraints using interior-point methods for nonlinear programming

Solving problems with semidefintie and related constraints using interior-point methods for nonlinear programming

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Article ID: iaor20041230
Country: Germany
Volume: 95
Issue: 2
Start Page Number: 279
End Page Number: 302
Publication Date: Jan 2003
Journal: Mathematical Programming
Authors: ,
Keywords: interior point methods
Abstract:

In this paper, we describe how to reformulate a problem that has second-order cone and/or semi-definiteness constraints in order to solve it using a general-purpose interior-point algorithm for nonlinear programming. The resulting problems are smooth and convex, and numerical results from the DIMACS Implementation Challenge problems and SDPLib are provided.

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