A semi-alternating algorithm for solving nonconvex split equality problems. (18th November 2021)

• Record Type: Journal Article
• Authors: Moudafi, Abdellatif
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 15(2021)
• Page Start: 1747
• Page End: 1756
• Publication Date: 2021-11-18
• Subjects: Nonconvex split equality problem -- semi-algebraic optimization -- generalized CQ-algorithm -- splitting alternating minimization; 49M15 -- 49M37 -- 90C25 -- 90C53; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1933529
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we propose an iterative method for solving split equality problems in the nonconvex setting. Relying on the associated penalized optimization formulation, we study a relevant iterative algorithm, which is nothing else than a generalized CQ-algorithm, and prove that its global convergence is guaranteed in the nonconvex setting under mild conditions on the problems data. Then, some remarks are also mentioned.