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带一类非精确搜索的Broyden族的全局收敛性
引用本文:刘光辉,韩继业.带一类非精确搜索的Broyden族的全局收敛性[J].计算数学,1996,18(3):233-240.
作者姓名:刘光辉  韩继业
作者单位:中国科学院应用数学研究所
摘    要:带一类非精确搜索的Broyden族的全局收敛性刘光辉,韩继业(中国科学院应用数学研究所)GLOBALCONVERGENCEOFTHEBROYDEN'SFAMILYWITHACLASSOFINEXACTLINESEARCHES¥LiuGuang-hui...

关 键 词:无约束最优化  最佳化  全局收敛性  Broyden族

GLOBAL CONVERGENCE OF THE BROYDEN'S FAMILY WITH A CLASS OF INEXACT LINESEARCHES
Institution:Liu Guang-hui; Han Ji-ye(Institute of Applied Mathematics, Academia Silica, Beijing)
Abstract:Abstract In this paper, the restricted Broyden's family is investigated. A class of Wolfetype inexact linesearch procedures are introduced, which are combined with the restricted Broyden's family. Under the convex assumption on objective functions,the global convergence of the restricted Broyden's family is proved. Our results generalize those of Powell (1976) and Byrd etc (1987).
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