Generalized alternating projections on manifolds and convex sets

DOI10.46298/JNSAO-2023-7139zbMATH Open1544.49013MaRDI QIDQ6567232

Pontus Giselsson, Mattias Fält

Publication date: 4 July 2024

Published in: Journal of Nonsmooth Analysis and Optimization (Search for Journal in Brave)

Mathematics Subject Classification ID

Convex programming (90C25) Set-valued and variational analysis (49J53) Programming in abstract spaces (90C48) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Cites Work

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• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• On local convergence of the method of alternating projections
• The method of alternating relaxed projections for two nonconvex sets
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• Linear convergence of the generalized Douglas-Rachford algorithm for feasibility problems
• Constrained best approximation in Hilbert space
• Set regularities and feasibility problems
• About regularity of collections of sets
• Regularity of collections of sets and convergence of inexact alternating projections
• Identifying Activity
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Convergence Analysis of the Relaxed Douglas--Rachford Algorithm
• Linear Convergence of Projection Algorithms
• The method of projections for finding the common point of convex sets
• The Relaxation Method for Linear Inequalities
• Finite Dimensional Vector Spaces. (AM-7)

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