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On the convergence of parallel chaotic nonlinear multisplitting Newton-type methods |
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| Authors: | Zhong-Zhi Bai |
| Institution: | State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, P.O.Box 2719, Beijing 100080, People's Republic of China |
| Abstract: | A class of parallel chaotic nonlinear multisplitting Newton-type methods for solving the nonlinear system of equations F(x) = 0(F : D  Rn → Rn) is established and its local convergence theory is presented. |
| Keywords: | Nonlinear system of equations Nonlinear multisplitting Parallel method Chaotic iteration Newton method Local convergenceG1 3 |
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