@Article{JCM-19-177, author = {Wang , Zhe-MingHuang , Zheng-Hai and Zhou , Kun-Ping}, title = {An Asymptotical $O((k + 1)n^3L)$ Affine Scaling Algorithm for the $P_*(k)$-Matrix Linear Complementarity Problem}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {2}, pages = {177--186}, abstract = {

Based on the generalized Dikin-type direction proposed by Jansen et al in 1997, we give out in this paper a generalized Dinkin-type affine scaling algorithm for solving the $P_*(k)$-matrix linear complementarity problem (LCP). By using high-order correctors technique and rank-one updating, the iteration complexity and the total computational turn out asymptotically $O((\kappa+1)\sqrt{n}L)$ and $O((\kappa+1)n^3L)$ respectively.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8970.html} }