Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638395 | Journal of Computational and Applied Mathematics | 2015 | 11 Pages |
Abstract
As applying the nonsmooth Newton’s method to the equivalent reformulation of the linear complementarity problem, a modulus-based nonsmooth Newton’s method is established and its locally quadratical convergence conditions are presented. In the implementation, local one step convergence is discussed by properly choosing the initial vector and the generalized Jacobian, and a mixed algorithm is given for finding an initial vector. Numerical experiments show that the proposed methods are efficient and accelerate the convergence performance of the modulus-based matrix splitting iteration methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hua Zheng, Wen Li,