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Broyden非凸族的收敛性
CONVERGENCE OF THE PRECONVEX PARE OF BROYDEN’S FAMILY
【摘要】 利用Byrd等人给出的ψ函数,分析了Broyden非凸族.对于一致凸函数,证明了Broyden非凸族的全局和超线性收敛性.
【Abstract】 The behavior of the preconvex part of Broyden’s family is analyzed by using a ψ function which was proposed by Byrd and Nocedal.For uniformly convex objective functions,the global and superlinear convergence of the preconvex part of Broyden’s family are proved.
【关键词】 Broyden非凸族;
ψ函数;
全局收敛性;
超线性收敛性;
无约束最优化;
【Key words】 preconvex part of Broyden’s family; ψ function; global convergence; superlinear convergence; unconstrained optimization;
【Key words】 preconvex part of Broyden’s family; ψ function; global convergence; superlinear convergence; unconstrained optimization;
【基金】 国家自然科学基金,国家博士后基金
- 【文献出处】 北京师范大学学报(自然科学版) ,JOURNAL OF BEIJING NORMAL UNIVERSITY , 编辑部邮箱 ,1995年01期
- 【分类号】O174.13
- 【被引频次】20
- 【下载频次】38