Group Symmetry in Interior-point Methods for Semidefinite Program

@inproceedings{Ohsaki1970GroupSI,
title={Group Symmetry in Interior-point Methods for Semidefinite Program},
author={Mikio Ohsaki and Kazuaki Murota and Norio Katoh},
year={1970}
}

A class of group symmetric Semi-Definite Program (SDP) is introduced by using the framework of group representation theory. It is proved that the central path and several search directions of primal-dual interior-point methods are group symmetric. Preservation of group symmetry along the search direction theoretically guarantees that the numerically obtained optimal solution is group symmetric. As an illustrative example, we show that the optimization problem of a symmetric truss under… CONTINUE READING