Numerical stability of the cyclic Richardson iteration

DOI10.1007/BF01385724zbMath0737.65030MaRDI QIDQ1183037

Adam T. Zawilski

Publication date: 28 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133594

zbMATH Keywords

numerical testscondition numbernumerical stabilityacceleration parameterscyclic Richardson iterationlarge sparse systems of linear algebraic equationsrigorous error analysis

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (2)

A cyclic projected gradient method ⋮ Finite precision behavior of stationary iteration for solving singular systems

Cites Work

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• Richardson's iteration for nonsymmetric matrices
• A stable Richardson iteration method for complex linear systems
• The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems
• Numerical stability of the Chebyshev method for the solution of large linear systems
• Bounds for the round-off errors in the richardson second order method

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