%0 Journal Article
%T ON THE CONVERGENCE OF MONOTONIC OPTIMIZATION ALGORITHMS<br>论单调最优化算法的收敛性
%A HAN JI-YE
%A <br>韩继业
%J 系统科学与数学
%D 1991
%I 
%X Zangwill is the first who described optimization algorithms by introducing point-to-setmaps,thanks to which he has also established a unified approach to convergence study.Con-sequently,various concept algorithm models and corresponding convergence conditions areproposed.This paper gives a set of new conditions for optimization algorithms with monoto-nic property;still more it is proved that the newly-proposed conditions are weaker thanmany existing ones.Finally,it is demonstrated that Rosen's method is convergent by justifyingthat it satisfies new conditions.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=6361D437305FDB9DF0513996E4249578&yid=116CB34717B0B183&vid=708DD6B15D2464E8&iid=CA4FD0336C81A37A&sid=AF497F29192A2540&eid=4667B07C4A8D20BB&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0