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  • 简金宝.一个既约差商算法及其整体收敛性[J].广西科学,1995,2(2):6-9.    [点击复制]
  • Jian Jinbao.A Reduced Difference Coefficient Algorithm and Its Global Convergence[J].Guangxi Sciences,1995,2(2):6-9.   [点击复制]
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一个既约差商算法及其整体收敛性
简金宝
0
(广西大学数学与信息科学系, 南宁市西乡塘东路10号 530004)
摘要:
利用差商代替难以计算的精确导数,结合既约梯度法的思想建立新的算法;在目标函数一致凸的条件下证明了既约差商法的整体收敛性.
关键词:  约束最优化  既约差商  差商  整体收敛性  一致凸
DOI:
投稿时间:1994-04-08修订日期:1994-08-03
基金项目:广西大学青年科学基金
A Reduced Difference Coefficient Algorithm and Its Global Convergence
Jian Jinbao
(Dept. of Math. and Information Science, Guangxi University, 10 Xixiangtang Road, Nanning, 530004)
Abstract:
The difference coefficient was used to replace the exact derivative which is difficult to be computed, and a new algorithm was presented by using the idea of reduced gradient method. The reduced difference coefficient algorithm was shown to possess global convergence if the objective function is uniformly convex.
Key words:  constrained optimization  reduced difference coefficient  difference coefficient  global convergence  uniformly convex

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