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In this paper, we present a predictor-corrector path-following interior-point   algorithm for symmetric cone optimization based on Darvay's technique. Each   iteration of the algorithm contains a predictor step and a corrector step   based on a modification of the Nesterov and Todd directions. Moreover, we   show that the algorithm is well defined and that the obtained iteration bound   is o(√rlogrμ/ε), where r is the rank of Euclidean Jordan algebra

A predictor-corrector path-following algorithm for symmetric optimization based on Darvay's technique