A New full-newton step infeasible interior-point method for $$P_*(\kappa )$$-linear Complementarity problem

Abstract In this paper, we suggest a new infeasible interior-point method (IIPM) for $$P_{*}(\kappa )$$ P ∗ ( κ ) -linear complementarity problem ( -LCP) based on class of kernel functions with full-Newton steps. Each iteration the algorithm consists feasible step and few centering The is defined by newly proposed functions, while determined using Newton’s method. New includes logarithmic function in Roos (SIAM J Optim 16:1110–1136, 2006) trigonometric Moslemi Kheirfam (Optim Lett 13:127–157, 2019), Haghighi (Commun Comb 3:51–70, 2018), Fathi-Hafshejani et al. (J Appl Math Comput 48:111–128, 2015) as special cases. And show that has best known complexity $$P_*(\kappa -LCP such present some numerical results.