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Additive Schwarz algorithm for the nonlinear complementarity problem with M-function
Authors:Ying-Jun Jiang  Jin-Ping Zeng
Institution:

aDepartment of Mathematics and Science Computing, ChangSha University of Science and Technology, Changsha 410076, PR China

bCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China

Abstract:In this paper, an additive Schwarz algorithm is considered for solving the finite-dimensional nonlinear complementarity problem with M-function. The monotone convergence of the algorithm is obtained with special choices of initial values. Moreover, the weighted max-norm bound is obtained for the iterative errors.
Keywords:Additive Schwarz algorithm  M-function  Nonlinear complementarity problem  Monotone convergence  Weighted max-norm
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