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.
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).