A counterexample to De Pierro's conjecture on the convergence of under-relaxed cyclic projections

DOI10.1080/02331934.2018.1474471zbMath1411.90263arXiv1801.03216OpenAlexW2962758704WikidataQ123260088 ScholiaQ123260088MaRDI QIDQ4613982

Andrew Williamson, Vera Roshchina, Roberto Cominetti

Publication date: 28 January 2019

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03216

zbMATH Keywords

cyclic projectionsDe Pierro conjectureunder-relaxed projections

Mathematics Subject Classification ID

Convex programming (90C25)

Related Items (2)

The difference vectors for convex sets and a resolution of the geometry conjecture ⋮ Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples

Cites Work

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• Asymptotic behavior of compositions of under-relaxed nonexpansive operators
• There is no variational characterization of the cycles in the method of periodic projections
• Strong underrelaxation in Kaczmarz's method for inconsistent systems
• On rings of operators. Reduction theory
• The method of projections for finding the common point of convex sets

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