摘要
拟牛顿法是无约束优化问题中应用最广、理论上也最为成熟的方法之一.七十年代是其应用和理论发展最快的时期,在众多的算法之中,Broyden族又是最著名的,其收敛性质一直是无约束问题的热点.
In this paper, We analysis the properties of Ψ-function, which is proposed in [1], then we use it to analysis the behavior of Broyden's family and prove the global convergence of strict convex Broyden's family and the super-linear convergence of convex Broyden's family.
出处
《计算数学》
CSCD
北大核心
1994年第1期102-107,共6页
Mathematica Numerica Sinica