A numerical implementation of an interior point method for semidefinite programming

This paper is concerned with an algorithm proposed by Alizadeh for linear semidefinite programming. The proof of convergence given by Alizadeh relies on a wrong inequality, we correct the proof. At each step, the algorithm uses a line search. To be efficient, such a line search needs the value of the derivative, we provide this value. Finally, a few numerical examples are treated.

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Bibliographic Details
Main Authors: Benterki,Djamel, Crouzeix,Jean-Pierre, Merikhi,Bachir
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Pesquisa Operacional 2003
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382003000100005
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Summary:This paper is concerned with an algorithm proposed by Alizadeh for linear semidefinite programming. The proof of convergence given by Alizadeh relies on a wrong inequality, we correct the proof. At each step, the algorithm uses a line search. To be efficient, such a line search needs the value of the derivative, we provide this value. Finally, a few numerical examples are treated.