| 解无约束优化问题的下降算法 |
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| 引用本文： | 李欣,刘红卫.解无约束优化问题的下降算法[J].西安文理学院学报,2008,11(3):25-27. |
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| 作者姓名： | 李欣 刘红卫 |
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| 作者单位： | 西安电子科技大学数学系,陕西西安710071 |
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| 摘 要： | 针对共轭梯度法的优劣主要依赖步长因子和搜索方向的特点，结合其性质，提出了一种新的下降算法，并给出了算法的全局收敛性证明．数值实验表明算法十分有效．
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| 关 键 词： | 搜索方向 共轭梯度法 全局收敛性 |
A descent method for unconstrained optimization |
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| LI Xin,LIU Hong-wei.A descent method for unconstrained optimization[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2008,11(3):25-27. |
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| Authors: | LI Xin LIU Hong-wei |
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| Institution: | ( Department of Mathsmatics, Xidian University, Xi＇ an 710071, China) |
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| Abstract: | In light of the character of the conjugate gradient method and the fact that the strength or weakness of an algorithm is more or less depended on the step size and the search direction, a new descent method is proposed and its global convergence is proved. Numerical experiments show that the method is efficient. |
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| Keywords: | search direction conjugate gradient method global convergence |
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