| 光滑阻尼Gauss-Newton法解非线性不等式组 |
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| 引用本文： | 蒋利华,马昌凤. 光滑阻尼Gauss-Newton法解非线性不等式组[J]. 安徽大学学报(自然科学版), 2009, 33(1) |
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| 作者姓名： | 蒋利华 马昌凤 |
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| 作者单位： | 1. 安徽理工大学,理学院,安徽,淮南,232001
2. 福建师范大学,数学与计算机科学学院,福建,福州,350007 |
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| 基金项目： | 国家自然科学基金，广西自然科学基金，安徽理工大学硕博基金，安徽理工大学青年基金 |
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| 摘 要： | 利用等价转化把非线性不等式组转化为非线性方程组来加以求解,通过引进光滑参数构造一个新的光滑函数来逼近方程组问题中的目标函数,给出了相应的求解非线性方程组的光滑阻尼Gauss-Newton算法,并在一定条件下证明了该算法的整体收敛性.
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| 关 键 词： | 非线性不等式组 非线性方程组 阻尼Gauss-Newton法 整体收敛性. |
Damped Gauss-Newton method for nonlinear inequalities |
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| JIANG Li-hua,MA Chang-feng. Damped Gauss-Newton method for nonlinear inequalities[J]. Journal of Anhui University(Natural Sciences), 2009, 33(1) |
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| Authors: | JIANG Li-hua MA Chang-feng |
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| Affiliation: | 1.Department of Mathematics and Physics;Anhui University of Science & Technology;Huainan 323001;China;2.College of Mathematics and Compution Science;Fujian Normal University;Fuzhou 350007;China |
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| Abstract: | In the paper,we studied the solving method of nonlinear inequalities.A new smoothing function was structured for the merit function,and a globally convergent damped Gauss-Newton method for solving nonlinear inequalities was proposed based on its equivalent nonlinear equations.And the global convergence of the method was verified under appropriate assumption. |
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| Keywords: | nonlinear inequalities nonlinear equations damped Gauss-Newton method global convergence. |
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