@article{YUJOR, author = {G. Lešaja}, title = { Long-step homogeneous interior-point algorithm for the P*-nonlinear complementarity problems}, journal = {Yugoslav Journal of Operations Research}, volume = {12}, number = {1}, year = {2016}, keywords = {}, abstract = {A P*-Nonlinear Complementarity Problem as a generalization of the P*Linear Complementarity Problem is considered. We show that the long-step version of the homogeneous self-dual interior-point algorithm could be used to solve such a problem. The algorithm achieves linear global convergence and quadratic local convergence under the following assumptions: the function satisfies a modified scaled Lipschitz condition, the problem has a strictly complementary solution, and certain submatrix of the Jacobian is nonsingular on some compact set.}, issn = {2334-6043}, url = {https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/181} }