无约束正定几何规划的共轭梯度法 |
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引用本文: | 景书杰,郑淑贞.无约束正定几何规划的共轭梯度法[J].河南机电高等专科学校学报,2008,16(2):100-102. |
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作者姓名: | 景书杰 郑淑贞 |
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作者单位: | 河南理工大学,数学与信患科学学院,河南,焦作,454003 |
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摘 要: | 将无约束正定式几何规划问题转化为等价的凸规划问题,利用目标函数的凸性,给函了一种在强Wolfe线搜索下的共轭梯度算法,并证明了其全局收敛性。
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关 键 词: | 几何规划 凸规划 共轭梯度法 全局收敛性 |
A Conjugate Gradient Method for Unconstrained Positive Geometric Programming |
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Affiliation: | JING Shu - jie, et al ( School of Mathematics and Information science, Henan Polytechnic University, Jiaozuo 454003, China) |
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Abstract: | In this paper, we transformed the unconstrained positive geometric programming problem into the equally convex programming problem, and using the convex quality of the objective function, we gave a conjugate gradient method under the strong Wolfe linear search and proved its global convergence. |
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Keywords: | geometric programming convex programming conjugate gradient method global convergence |
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