On the Convergence Rate of an Inexact Proximal Point Algorithm for Quasiconvex Minimization on Hadamard Manifolds  

作　　者：Nancy Baygorrea Erik Alex Papa Quiroz Nelson Maculan 

机构地区：[1]Federal University of Rio de Janeiro,PESC-COPPE-UFRJ,PO Box 68511,Rio de Janeiro CEP 21941-972,Brazil

出　　处：《Journal of the Operations Research Society of China》2017年第4期457-467,共11页中国运筹学会会刊（英文）

基　　金：Coordenação de Aperfeiçoamento de Pessoal de Nível Superior of the Federal University of Rio de Janeiro(UFRJ),Brazil.

摘　　要：In this paper,we present an analysis about the rate of convergence of an inexact proximal point algorithm to solve minimization problems for quasiconvex objective functions on Hadamard manifolds.We prove that under natural assumptions the sequence generated by the algorithm converges linearly or superlinearly to a critical point of the problem.

关 键 词：Proximal point method Quasiconvex function Hadamard manifolds Nonsmooth optimization Abstract subdifferential Convergence rate 

分 类 号：O17[理学—数学]