| 约束非线性l_1问题的光滑近似算法 |
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| 引用本文： | 葛亚平,王建宏.约束非线性l_1问题的光滑近似算法[J].应用数学与计算数学学报,2007(2). |
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| 作者姓名： | 葛亚平 王建宏 |
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| 作者单位： | 紫琅职业技术学院基础部，南通大学理学院 江苏 南通226002，江苏南通，226007 |
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| 基金项目： | 南通大学自然科学基金(07Z002) |
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| 摘 要： | 针对约束非线性l_1问题不可微的特点,提出了一种光滑近似算法.该方法利用" "函数的光滑近似函数和罚函数技术将非线性l_1问题转化为无约束可微问题,并在适当的假设下,该算法是全局收敛的.初步的数值试验表明算法的有效性.
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| 关 键 词： | 非线性l_1问题 光滑近似函数 收敛性 |
A Smooth Approximating Algorithm for Nonlinear l_1 Problem |
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| Ge Yaping Wang Jianhong The.A Smooth Approximating Algorithm for Nonlinear l_1 Problem[J].Communication on Applied Mathematics and Computation,2007(2). |
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| Authors: | Ge Yaping Wang Jianhong The |
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| Institution: | Ge Yaping~1 Wang Jianhong~2 The Department of Basic Education,Zilang Vocational Technical College,Nantong Jiangsu 226002,China School of Science,Nantong University,Nantong Jiangsu 226007,China |
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| Abstract: | A smooth approximating algorithm is proposed to study the non-differenti- able constrained nonlinear 11 problem.Based on the smooth approximating function of the plus function and penalty function,the constrained nonlinear l_1 problem is converted to an unconstrained differentiable problem.The algorithm is global convergent under mild conditions.Primary numerical results demonstrate that the algorithm is efficient. |
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| Keywords: | nolinear l_1 problem smooth approximating function convergence |
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