The Reflection Method for the Numerical Solution of Linear Systems

DOI10.1137/22m1470463OpenAlexW4388464750MaRDI QIDQ6071828

Margherita Guida, Carlo Sbordone

Publication date: 29 November 2023

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/22m1470463

zbMATH Keywords

linear systemsreflectionnumerical solution

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

• Partitioning strategies for the block Cimmino algorithm
• New methods for linear inequalities
• Block-iterative projection methods for parallel computation of solutions to convex feasibility problems
• A projection method for semidefinite linear systems and its applications
• Preconditioned iterative regularization in Banach spaces
• On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning
• A Novel Partitioning Method for Accelerating the Block Cimmino Algorithm
• An Iteration Formula for Fredholm Integral Equations of the First Kind
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