Inexact Operator Splitting Method for Monotone Inclusion Problems  

作　　者：Yuan-Yuan Huang Chang-He Liu You-Lin Shang 

机构地区：[1]School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471023,Henan,China

出　　处：《Journal of the Operations Research Society of China》2021年第2期273-306,共34页中国运筹学会会刊（英文）

基　　金：This work was partially supported by the National Natural Science Foundations of China(Nos.11471102 and 11701150);the Key Basic Research Foundation of the Higher Education Institutions of Henan Province(No.16A110012).

摘　　要：The Douglas–Peaceman–Rachford–Varga operator splitting methods are a class ofefficient methods for finding a zero of the sum of two maximal monotone operatorsin a real Hilbert space;however, they are sometimes difficult or even impossible tosolve the subproblems exactly. In this paper, we suggest an inexact version in whichsome relative error criterion is discussed. The corresponding convergence propertiesare established, and some preliminary numerical experiments are reported to illustrateits efficiency.

关 键 词：Monotone operator Splitting methods Convergence properties Error criterion 

分 类 号：O17[理学—数学]