| 几何规划的简约共轭梯度算法 |
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| 引用本文： | 曹香莲,景书杰,郑淑贞. 几何规划的简约共轭梯度算法[J]. 济南大学学报(自然科学版), 2009, 23(1) |
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| 作者姓名： | 曹香莲 景书杰 郑淑贞 |
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| 作者单位： | 河南理工大学,数学与信息科学学院,河南,焦作,454003;河南理工大学,数学与信息科学学院,河南,焦作,454003;河南理工大学,数学与信息科学学院,河南,焦作,454003 |
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| 摘 要： | 利用对偶理论将正定式几何规划转化为带有非负约束和线性等式约束下的非线性凸规划,并且将简约梯度算法与共轭梯度算法恰当结合,应用于求解约束正定式几何规划的对偶问题,构造出了求解几何规划的一个有效算法,并在Armijo步长搜索和适当的条件下证明了该算法的收敛性.
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| 关 键 词： | 正定式几何规划 对偶规划 简约梯度法 共轭梯度法 |
Reduced Conjugate Gradient Algorithm for Geometric Program |
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| CAO Xiang-lian,JING Shu-jie,ZHENG Shu-zhen. Reduced Conjugate Gradient Algorithm for Geometric Program[J]. Journal of Jinan University(Science & Technology), 2009, 23(1) |
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| Authors: | CAO Xiang-lian JING Shu-jie ZHENG Shu-zhen |
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| Affiliation: | School of Mathematics and Information Science;Henan Polytechnic University;Jiaozuo 454003;China |
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| Abstract: | The posynomial geometric programming is transferred into a nolinear convex progamming with contraints of linear equality by duality principle.Integrating the reduced gradient algorithm with the conjugate gradient algorithm,we solve the dual problem of posynomial geometric program with con-straints and construct an effective algorithm for geometric programming.The convergent properties of the algorithm are discussed under Armijo step search and appropriate conditions. |
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| Keywords: | posynomial geometric programming dual programming reduced gradient method conjugate gradient method |
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