a1 Department of Mathematics and Science Computing, Changsha University of Science and Technology, Changsha, 410004, PR China (email: [email protected])
a2 College of Computer Science, Dongguan University of Technology, Dongguan, 523005, PR China (email: [email protected])
A multiplicative Schwarz iteration algorithm is presented for solving the finite-dimensional nonlinear complementarity problem with an M-function. The monotone convergence of the iteration algorithm is obtained with special choices of initial values. Moreover, by applying the concept of weak regular splitting, the weighted max-norm bound is derived for the iteration errors.
(Received June 16 2008)
2000 Mathematics subject classification
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This work is supported by the National Natural Science Foundation of China (Grants 10901027, 10971058).