Incomplete alternating projection method for large inconsistent linear systems

DOI10.1016/j.laa.2007.05.045zbMath1139.65031OpenAlexW1971812882MaRDI QIDQ2472379

Agnieszka Suchocka, Andrzej Cegielski

Publication date: 21 February 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.045

zbMATH Keywords

convergencenumerical examplelinear least-squares problemalternating projectionsFejér monotonicitylinear inconsistent system

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Convex programming (90C25) Large-scale problems in mathematical programming (90C06)

Cites Work

• Unnamed Item
• New iterative methods for linear inequalities
• Dykstra's alternating projection algorithm for two sets
• Inverse radiation therapy planning -- a multiple objective optimization approach
• A class of optimized row projection methods for solving large nonsymmetric linear systems
• Incomplete oblique projections for solving large inconsistent linear systems
• Relaxed Alternating Projection Methods
• Iterative oblique projection onto convex sets and the split feasibility problem

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