| 线性方程组逼近双障碍问题 |
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| 引用本文： | 马昌凤,梁国平. 线性方程组逼近双障碍问题[J]. 数学学报, 2003, 46(6): 1211-122. DOI: cnki:ISSN:0583-1431.0.2003-06-020 |
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| 作者姓名： | 马昌凤 梁国平 |
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| 作者单位： | 1. 桂林电子工业学院计算科学与应用物理系,桂林,541004;中国科学院数学与系统科学研究院数学研究所,北京,100080
2. 中国科学院数学与系统科学研究院数学研究所,北京,100080 |
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| 摘 要： | 针对双障碍问题,本文提出了与其等价的B可微方程的类Broyden算法,并 在一定条件下证明了该算法的全局收敛性和超线性收敛性.经数值实验表明该算法是 有效的.
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| 关 键 词： | 双障碍问题 B可微方程 类Broyden算法 |
| 文章编号： | 0583-1431(2003)06-1211-10 |
| 修稿时间： | 2001-02-21 |
Linear Equations Approach to the Solution of Bi-Obstacle Problems |
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| Chang Feng MA. Linear Equations Approach to the Solution of Bi-Obstacle Problems[J]. Acta Mathematica Sinica, 2003, 46(6): 1211-122. DOI: cnki:ISSN:0583-1431.0.2003-06-020 |
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| Authors: | Chang Feng MA |
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| Affiliation: | Chang Feng MA(Department of Computational Science and Applied Physics, Guilin Institute ofElectronic Technology, Guilin 541004, P. R. China)(Institute of Mathematics, Academy of Mathematics and System Sciences,Chinese Academy of Sciences, Beijing 100080, P. R. China)(E-mail: macf99-cn@yahoo.com.cn)Guo Ping LIANG(Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China) |
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| Abstract: | In this paper, we present a Broyden-like algorithm for solving bi-obstacle problems based on its equivalent B-differentiable equations. Under suitable assump-tions, we get the global and superlinear convergence of the proposed method. Some numerical results are also reported in the paper. |
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| Keywords: | Bi-obstacle problems B-differentiable equations Broyden-like algorithm |
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