| 一类求解非线性代数方程组的并行多分裂AOR算法 |
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| 引用本文： | 白中治. 一类求解非线性代数方程组的并行多分裂AOR算法[J]. 应用数学和力学, 1995, 16(7): 633-639 |
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| 作者姓名： | 白中治 |
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| 作者单位： | 复旦大学数学研究所 上海 200433 |
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| 摘 要： | 本文提出了求解大型非线性代数方程组Aф(x)+Bψ(x)=b的并行多分裂AOR(Accelerated Overrela Xation)算法。在一定的条件下,证明了非线性代数方程组解的存在唯一性,并建立了新算法的全局收敛性理论。
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| 关 键 词： | 非线性代数方程组 并行算法 松弛 H-矩阵 |
| 收稿时间： | 1994-05-27 |
Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations |
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| Bai Zhongzhi. Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations[J]. Applied Mathematics and Mechanics, 1995, 16(7): 633-639 |
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| Authors: | Bai Zhongzhi |
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| Affiliation: | Institute of Mathematics, Fudan University, Shanghai 200433 |
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| Abstract: | In this paper,we propose a class of parallel multisplitting AOR method for solving large-scale system of nonlinear equations Under certain conditions,we prove the existence and uniqueness of the solution of this system of nonlinear equations and set up the global convergence theory of our new method. |
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| Keywords: | system of nonlinear algebraic equations parallel method relaxation H-matrix |
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