典型文献
An Inertial Semi-forward-reflected-backward Splitting and Its Application
文献摘要：
Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms.This work is concerned with an inertial semi-forward-reflected-backward splitting algorithm of approaching the solution of sum of a maximally monotone operator,a cocoercive operator and a monotone-Lipschitz continuous operator.The theoretical convergence properties of the proposed iterative algorithm are also presented under mild conditions.More importantly,we use an adaptive stepsize rule in our algorithm to avoid calculating Lipschitz constant,which is generally unknown or difficult to estimate in practical applications.In addition,a large class of composite monotone inclusion problem involving mixtures of linearly composed and parallel-sum type monotone operators is solved by combining the primal-dual approach and our proposed algorithm.As a direct application,the obtained inertial algorithm is exploited to composite convex optimization problem and some numerical experiments on image deblurring problem are also investigated to demonstrate the efficiency of the proposed algorithm.
文献关键词：
中图分类号：
作者姓名：
Chun Xiang ZONG;Yu Chap TANG;Guo Feng ZHANG
作者机构：
School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,P.R.China;Department of Mathematics,Nanchang University,Nanchang 330031,P.R.China
文献出处：
引用格式：
[1]Chun Xiang ZONG;Yu Chap TANG;Guo Feng ZHANG-.An Inertial Semi-forward-reflected-backward Splitting and Its Application)[J].数学学报（英文版）,2022(02):443-464
A类：
cocoercive,stepsize
B类：
An,Inertial,Semi,forward,reflected,backward,Splitting,Its,Application,methods,play,vital,role,accelerating,convergence,speed,optimization,algorithms,This,work,concerned,inertial,semi,splitting,approaching,solution,sum,maximally,monotone,Lipschitz,continuous,theoretical,properties,proposed,iterative,are,also,presented,under,mild,conditions,More,importantly,we,use,adaptive,rule,our,avoid,calculating,constant,which,generally,unknown,difficult,estimate,practical,applications,addition,large,class,composite,inclusion,problem,involving,mixtures,linearly,composed,parallel,type,operators,solved,by,combining,primal,dual,direct,obtained,exploited,convex,some,numerical,experiments,image,deblurring,investigated,demonstrate,efficiency
AB值：
0.619211
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