| 信赖域方法求解非光滑不等式组 |
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| 引用本文： | 夏红卫. 信赖域方法求解非光滑不等式组[J]. 常州工学院学报, 2009, 22(3): 52-56 |
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| 作者姓名： | 夏红卫 |
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| 作者单位： | 常州工学院理学院,江苏,常州,213002 |
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| 摘 要： | 通过构造光滑函数将非光滑不等式组转化为一个非线性方程组,进而利用信赖域方法求解该方程组。算法使用了非单调结构,提高了计算的效率,扩大了算法的适用范围。在通常的假设下,证明了算法的全局收敛性,并给出了数值试验。
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| 关 键 词： | 非光滑不等式组 光滑函数 信赖域方法 |
A Trust Method for Non-smooth Inequation |
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| XIA Hong-wei. A Trust Method for Non-smooth Inequation[J]. Journal of Changzhou Institute of Technology, 2009, 22(3): 52-56 |
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| Authors: | XIA Hong-wei |
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| Affiliation: | School of Science;Changzhou Institute of Technology;Changzhou 213002 |
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| Abstract: | Based on a new smooth function,we reformulate nonlinear inequalities as a non-smooth equation,and then we present a trust method for the equation,in which the non-monotone structure is used.It proves that this algorithm is globally convergent under standard conditions,and the numerical test report is given. |
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| Keywords: | non-smooth inequation smooth function trust region methods |
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