An infeasible interior-point method for the $P_*$-matrix linear complementarity problem based on a trigonometric kernel function with full-Newton step

B‎. ‎Kheirfam, Masoumeh Haghighi · DOAJ (DOAJ: Directory of Open Access Journals) · 2018

An infeasible interior-point algorithm for solving the‎ ‎$P_*$-matrix linear complementarity problem based on a kernel‎ ‎function with trigonometric barrier term is analyzed‎. ‎Each (main)‎ ‎iteration of the algorithm consists of a feasibility step and‎ ‎several centrality steps‎, ‎whose feasibility step is induced by a‎ ‎trigonometric kernel function‎. ‎The complexity result coincides with‎ ‎the best result for infeasible interior-point methods for‎ ‎$P_*$-matrix linear complementarity problem.

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