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Recently, M. Bouafoa, et al.  investigated a new kernel function which differs from the self-regular kernel functions. The kernel function has a trigonometric Barrier Term. In this paper we generalize the analysis presented in the above paper for P * (κ) Linear Complementarity Problems (LCPs). It is shown that the iteration bound for primal-dual large-update and small-update interior-point methods based on this function is as good as the currently best known iteration bounds for these typedoi:10.12732/ijam.v30i1.2 fatcat:idwiqlu6frb43fzliyii7rcu5u