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In this paper, we establish polynomial convergence of Mehrotra-type prediction corrector infeasible-interior-point method for symmetric optimization using a wide neighborhood of the central path. In order to show that the convergence of our algorithm for the commutative class of search directions, we prove the important inequality ‖x∘y‖1⩽3‖x‖F‖y‖F, where a mapping ‖·‖1 is defined by ‖x‖1=∑i=1r|λi|...
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