Analytic formulas for alternating projection sequences for the positive semidefinite cone and an application to convergence analysis

DOI10.1016/j.jmaa.2024.129070MaRDI QIDQ6664441

Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki

Publication date: 16 January 2025

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Grassmanniandeterminantal varietyalternating projection methodpositive semidefinite coneexact convergence ratenontransversal intersection

Mathematics Subject Classification ID

Numerical analysis (65-XX) Operations research, mathematical programming (90-XX)

Cites Work

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• Alternating projection, ptychographic imaging and phase synchronization
• A fresh variational-analysis look at the positive semidefinite matrices world
• A note on alternating projections for ill-posed semidefinite feasibility problems
• Curvature Measures
• On Projection Algorithms for Solving Convex Feasibility Problems
• Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets
• Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals
• Exact convergence rates of alternating projections for nontransversal intersections

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