| 广义几何规划的一类全局收敛算法 |
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| 引用本文： | 曹香莲,李灿. 广义几何规划的一类全局收敛算法[J]. 成都大学学报(自然科学版), 2010, 29(3): 229-231. DOI: 10.3969/j.issn.1004-5422.2010.03.011 |
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| 作者姓名： | 曹香莲 李灿 |
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| 作者单位： | 红河学院,数学学院,云南,蒙自,661100;红河学院,数学学院,云南,蒙自,661100 |
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| 基金项目： | 云南省教育厅科技基金，红河学院科研基金 |
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| 摘 要： | 以增广Lagrange函数为基础,采用比较先进的Armijo步长搜索策略,对等式约束下的广义几何规划问题提出了一种有效的拟牛顿乘子法,并且在适当条件下,可以避免罚因子趋于无穷,最后证明了该算法的全局收敛.
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| 关 键 词： | 广义几何规划 增广Lagrange函数 全局收敛 拟牛顿乘子法 |
A Global Convergence Algorithm for Generalized Geometric Programming |
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| CAO Xianglian,LI Can. A Global Convergence Algorithm for Generalized Geometric Programming[J]. Journal of Chengdu University (Natural Science), 2010, 29(3): 229-231. DOI: 10.3969/j.issn.1004-5422.2010.03.011 |
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| Authors: | CAO Xianglian LI Can |
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| Affiliation: | (School of Mathematics,Honghe University,Mengzi 661100,China) |
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| Abstract: | An effective Quasi-Newton multiplier method based on the augmented Lagrange function and using more advanced Armijo step search was proposed for generalized geometric programming with equality constraints which can prevent penalty parameter from tending to infinite with suitable conditions.Finally,it was proved to be globally convergent. |
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| Keywords: | generalized geometric programming augmented Lagrange function global convergence Quasi-Newton multiplier method |
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