An inertial extrapolation method for multiple-set split feasibility problem
Guash Haile Taddele, Poom Kumam, Anteneh Getachew Gebrie
Abstract
Abstract In this paper, we propose an iterative algorithm with inertial extrapolation to approximate the solution of multiple-set split feasibility problem. Based on Lopez et al. (Inverse Probl. 28(8):085004, 2012), we have developed a self-adaptive technique to choose the stepsizes such that the implementation of our algorithm does not need any prior information about the operator norm. We then prove the strong convergence of a sequence generated by our algorithm. We also present numerical examples to illustrate that the acceleration of our algorithm is effective.
Topics & Concepts
ExtrapolationMathematicsInertial frame of referenceConvergence (economics)AccelerationSequence (biology)Norm (philosophy)AlgorithmIterative methodSet (abstract data type)Inverse problemOperator (biology)Mathematical optimizationInverseComputer scienceMathematical analysisPolitical scienceClassical mechanicsLawGeometryEconomic growthGeneticsChemistryGeneProgramming languageEconomicsPhysicsRepressorBiologyQuantum mechanicsTranscription factorBiochemistryOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchSparse and Compressive Sensing Techniques