| Multisplitting Iteration Schemes for Solving a Class of Nonlinear Complementarity Problems |
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| 作者姓名： | Chen-liang Li Jin-ping Zeng |
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| 作者单位： | 1，2 |
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| 基金项目： | The work was done in the state key laboratory of advanced design and manufacture for vehicle body of Hunan university and supported by 973 national project of China granted 2004CB719402 and by the National Natural Science Foundation of China （No. 10371035）,Acknowledgements. The authors would like to thank the anonymous referees for many valuable suggestions. |
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| 摘 要： | We consider several synchronous and asynchronous multisplitting iteration schemes for solving aclass of nonlinear complementarity problems with the system matrix being an H-matrix.We establish theconvergence theorems for the schemes.The numerical experiments show that the schemes are efficient forsolving the class of nonlinear complementarity problems.
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| 关 键 词： | 非线性互补性问题 异步迭代 H-矩阵 多分裂法 |
| 修稿时间： | 2004-11-222006-09-10 |
Multisplitting Iteration Schemes for Solving a Class of Nonlinear Complementarity Problems |
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| Chen-liang Li Jin-ping Zeng.Multisplitting Iteration Schemes for Solving a Class of Nonlinear Complementarity Problems[J].Acta Mathematicae Applicatae Sinica,2007,23(1):79-90. |
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| Authors: | Chen-liang Li Jin-ping Zeng |
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| Institution: | (1) College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China;(2) Department of Computational Science and Mathematics, Guilin University of Electronics Technology, Guilin 541004, China;(3) Institute of Applied Mathematics, Hunan University, Changsha 410082, China |
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| Abstract: | We consider several synchronous and asynchronous multisplitting iteration schemes for solving a class of nonlinear complementarity problems with the system matrix being an H-matrix.We establish the convergence theorems for the schemes.The numerical experiments show that the schemes are efficient for solving the class of nonlinear complementarity problems. |
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| Keywords: | Nonlinear complementarity problems asynchronous iteration H-matrix multisplitting method |
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