| 极大熵Newton-SOR迭代算法求解绝对值方程 |
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| 引用本文： | 邓永坤.极大熵Newton-SOR迭代算法求解绝对值方程[J].渝西学院学报(自然科学版),2012(2):25-28. |
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| 作者姓名： | 邓永坤 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州221000 |
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| 摘 要： | 主要研究绝对值方程Ax＋B｜z｜=b的求解问题．首先通过利用极大熵理论将该绝对值方程转化为光滑方程组，建立求解该形式绝对值问题的Newton-SOR方法，并对算法的收敛性进行分析和证明；最后通过数值试验对算法的有效性进行测试．
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| 关 键 词： | 绝对值方程 极大熵方法 Newton-SOR算法 |
Solving absolute value equation based on maximum entropy Newton- SOR algorithm |
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| Institution: | DENG Yong - kun ( School of Sciences, China University of Mining and Technology, Xuzhou Jiangsu 221000, China) |
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| Abstract: | This paper is concerned with the absolute value equation Ax ＋ B ｜ x ｜ = b. First, using the maximum entropy function, and absolute value equations problem could be transformed into the approximation unconstrained differentiable problem, then using the Newton -SOR method to solve this problem. Theoretic analysis shows that the proposed method is effective. Numerical results indicate that the method is feasible and effective to absolute value equations problem. |
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| Keywords: | absolute value equation maximum entropy method Newton- SOR method |
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