Letter to the editor: A note on the preconditioned Gauss-Seidel (GS) method for linear systems

DOI10.1016/j.cam.2009.08.098zbMath1184.65037OpenAlexW2037004236MaRDI QIDQ847197

Hiroshi Niki, Toshiyuki Kohno

Publication date: 12 February 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.098

zbMATH Keywords

numerical examplespreconditioningGauss-Seidel method\(M\)-splitting\(H\)-splitting

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (1)

Stationary splitting iterative methods for the matrix equation \(AXB=C\)

Cites Work

• Unnamed Item
• A note on the preconditioned Gauss--Seidel (GS) method for linear systems
• Modified iterative methods for consistent linear systems
• Comparison theorems for weak splittings of bounded operators
• A note on the preconditioner \(P_m = (I + S_m)\)
• \(H\)-splittings and two-stage iterative methods
• Some comparison theorems for weak nonnegative splittings of bounded operators
• Improving the modified Gauss-Seidel method for \(Z\)-matrices
• The survey of preconditioners used for accelerating the rate of convergence in the Gauss-Seidel method.
• A comparison theorem for the iterative method with the preconditioner \((I+S_{max})\)

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