| m步非线性多重分裂Newton法的收敛性 |
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| 引用本文： | 周茵,曾金平. m步非线性多重分裂Newton法的收敛性[J]. 应用数学, 2005, 18(4): 553-559 |
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| 作者姓名： | 周茵 曾金平 |
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| 作者单位： | 湖南大学数学与计量经济学院,湖南,长沙,410082 |
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| 基金项目： | 国家自然科学基金资助项目（10371035） |
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| 摘 要： | 本文讨论了多重分裂算法在求解一类非线性方程组的全局收敛性和单侧收敛性．当用研步Newton法来代替求得每个非线性多重分裂子问题的近似解时，同样给出相应收敛性结论．数值算例证实了算法的有效性．
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| 关 键 词： | 多重分裂 非线性方程组 收敛性 |
| 文章编号： | 1001-9847(2005)04-0553-07 |
| 收稿时间： | 2004-09-20 |
| 修稿时间： | 2004-09-20 |
On the Convergence of m- steps Newton Nonlinear Multisplitting Algorithms |
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| ZHOU Yin,ZENG Jin-ping. On the Convergence of m- steps Newton Nonlinear Multisplitting Algorithms[J]. Mathematica Applicata, 2005, 18(4): 553-559 |
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| Authors: | ZHOU Yin ZENG Jin-ping |
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| Affiliation: | College of Mathematics and Econometrics, H unan University ,Chang sha 410082 ,China |
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| Abstract: | A multisplitting algorithm is presented for solving a system of nonlinear equations. The global convergence and the unilateral convergence are analyzed. Meanwhile, the convergence of a nonlinear muhisplitting method is given,in which the solution of the subproblems are approximated by the iterative solution such as m-steps Newtons iterative solution. Numerical results show the algorithm are effective. |
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| Keywords: | Multisplitting Nonlinear equations Convergence |
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