Convergence of a short-step primal-dual algorithm based on the Gauss-Newton direction

We prove the theoretical convergence of a short-step, approximate path-following, interior-point primal-dual algorithm for semidefinite programs based on the Gauss-Newton direction obtained from minimizing the norm of the perturbed optimality conditions. This is the first proof of convergence for th...

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Bibliographic Details
Main Authors: Serge Kruk, Henry Wolkowicz
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X03301081