A method with inertial extrapolation step for split monotone inclusion problems
Yonghong Yao, Yekini Shehu, Xiaohuan Li, Qiao‐Li Dong
Abstract
The purpose of this paper is to study the convergence analysis of an iterative algorithm with inertial extrapolation step for finding an approximate solution of split monotone inclusion problem in real Hilbert spaces. Weak convergence of the sequence of iterates generated from the proposed method is obtained under some mild assumptions. Some special cases of the general problem are given and we give some numerical implementations to support the theoretical analysis and give justification for the addition of the extrapolation step in the proposed method.
Topics & Concepts
ExtrapolationIterated functionMathematicsMonotone polygonConvergence (economics)Hilbert spaceInertial frame of referenceApplied mathematicsSequence (biology)Weak convergenceRichardson extrapolationIterative methodMathematical optimizationMathematical analysisComputer scienceBiologyComputer securityPhysicsQuantum mechanicsAsset (computer security)EconomicsGeneticsEconomic growthGeometryOptimization and Variational AnalysisNumerical methods in inverse problemsAdvanced Optimization Algorithms Research