Ali Nakhaei Amroudi - Department of Mathematics and Statistics, Imam Hossein Comprehensive University, Tehran, Iran.
Ali Reza Shojaeifard - Department of Mathematics and Statistics, Imam Hossein Comprehensive University, Tehran, Iran.
Mojtaba Pirhaji - Department of Mathematics and Statistics, Imam Hossein Comprehensive University, Tehran, Iran.

An infeasible interior-point algorithm for mixed symmetric cone linear complementarity problems is proposed. Using the machinery of Euclidean Jordan algebras and Nesterov-Todd search direction, the convergence analysis of the algorithm is shown and proved. Moreover, we obtain a polynomial time complexity bound which matches the currently best known iteration bound for infeasible interior-point methods.

Mixed linear complementarity problem, Symmetric cone, Interior-point methods, Polynomial complexity