@Article{JCM-22-6, author = {ZhengHai, Huang and Zhang, Liping and Jiye, Han}, title = {A Hybrid Smoothing-Nonsmooth Newton-Type Algorithm Yielding an Exact Solution of the $P_0$-LCP}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {6}, pages = {797--806}, abstract = {

We propose a hybrid smoothing-nonsmooth Newton-type algorithm for solving the $P_0$ linear complementarity problem ($P_0$-$LCP$) based on the techniques used in the non-smooth Newton method and smoothing Newton method. Under some assumptions, the proposed algorithm can find an exact solution of $P_0$-$LCP$ in finite steps. Preliminary numerical results indicate that the proposed algorithm is promising.

}, issn = {1991-7139}, doi = {https://doi.org/2004-JCM-8868}, url = {https://global-sci.com/article/85263/a-hybrid-smoothing-nonsmooth-newton-type-algorithm-yielding-an-exact-solution-of-the-p-0-lcp} }