The Gauss-Seidel iterative method with the preconditioning matrix \((I+S+S_m)\)

DOI10.1007/BF03167430zbMath1058.65042OpenAlexW2072744158MaRDI QIDQ1880942

Michio Sakakihara, Hideo Sawami, Munenori Morimoto, Kyouji Harada

Publication date: 27 September 2004

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

Full work available at URL: https://doi.org/10.1007/bf03167430

zbMATH Keywords

linear systemnumerical examplespreconditioningGauss-Seidel method

Mathematics Subject Classification ID

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

Related Items (4)

An extended \(GS\) method for dense linear systems ⋮ The preconditioned Gauss-Seidel method faster than the SOR method ⋮ Study on the preconditioners \((I+S_m)\) ⋮ A note on the preconditioner \(P_m = (I + S_m)\)

Cites Work

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• Modified iterative methods for consistent linear systems
• Comparison theorems for weak splittings of bounded operators
• Some comparison theorems for weak nonnegative splittings of bounded operators
• Improving the modified Gauss-Seidel method for \(Z\)-matrices

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