| 关于一般约束非线性规划问题的一族下降函数 |
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| 引用本文： | 温洁嫦,陈新建,刘海林.关于一般约束非线性规划问题的一族下降函数[J].华南理工大学学报(自然科学版),1997(8). |
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| 作者姓名： | 温洁嫦 陈新建 刘海林 |
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| 作者单位： | 广东工业大学数理系 |
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| 摘 要： | 首先建立等式和不等式约束非线性优化问题的结构拟牛顿法，并以此产生搜索方向δＸ。然后给出以δＸ为下降方向的一族含双参数的下降函数，并且在一定条件下证明了该函数族关于结构拟牛顿法产生的点列是严格下降的。
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| 关 键 词： | 结构拟牛顿法 下降函数族 Q—超线性收敛 |
A FAMILY OF DESCENT FUNCTIONS FOR EQUALITY AND INEQUALITY CONSTRAINED NONLINEAR PROGRAMMING |
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| Wen Jiechang,Chen Xinjian,Liu Hailin.A FAMILY OF DESCENT FUNCTIONS FOR EQUALITY AND INEQUALITY CONSTRAINED NONLINEAR PROGRAMMING[J].Journal of South China University of Technology(Natural Science Edition),1997(8). |
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| Authors: | Wen Jiechang Chen Xinjian Liu Hailin |
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| Abstract: | This paper proposes a structured quasi Newton method for equality and inequality constrained nonlinear programming, and establishes a research orientation by the method. Specifically, the paper presents a family of descent functions containing two parameters and proves that the functions are strictly descent about sequence of points produced by the structured quasi Newton method under some conditions. |
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| Keywords: | structured quasi Newton method a family of descent functions Q superlinear convergence |
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