摘要:共軛梯度法是求解大規(guī)模約束問題的有效算法,的選取不同構(gòu)成不同的共軛梯度法,由此通過修正提出了求解無約束優(yōu)化問題的一種改進(jìn)的共軛梯度法,并在wolf線搜索下證明了它的全局收斂性。
關(guān)鍵詞:無約束優(yōu)化問題;共軛梯度法;wolf線搜索;全局收斂性
中圖分類號(hào)O1-0文獻(xiàn)標(biāo)志碼:A文章編號(hào):1673-291X(2008)13-0227-02
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A New Conjugate Gradient Method for Unconstrained Optimization Problems
JING Chun-xia1, CHEN Zhong1,HE Yong-qiang2
(1.School of Information and Mathematics, Yangtze University, Jinzhou 434023,China;
2.Sinopec co. Jiangsu oilfield Branch,Yangzhou 211600 ,China)
Abstract: In the ordinary circumstances, conjugate gradient method is the effective algorithm which solves the large-scale restraint question, different Selection of constructs different conjugate gradient method. We propose a new conjugate gradient method for unconstrained optimization problems byupdate and prove that method with wolf line search converges globally.
Key words: unconstrained optimization problem; conjugate gradient method; wolf line searc; global convergence
[責(zé)任編輯王曉燕]