New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems
β Scribed by Zhong-Zhi Bai
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 445 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
A new comparison theorem on the monotone convergence rates of the parallel nonlinear multisplitting accelerated overrelaxation (AOR) method for solving the large scale nonlinear complementarity problem is established. Thus, the monotone convergence theory of this class of method is completed.
π SIMILAR VOLUMES
A new smoothing quasi-Newton method for nonlinear complementarity problems is presented. The method is a generalization of Thomas' method for smooth nonlinear systems and has similar properties as Broyden's method. Local convergence is analyzed for a strictly complementary solution as well as for a
The convergence of the multiplicative multisplitting-type method for solving the linear complementarity problem with an H-matrix is discussed using classical and new results from the theory of splitting. This directly results in a sufficient condition for guaranteeing the convergence of the multipli