Semiconvergence of block SOR method for singular linear systems with \(p\)-cyclic matrices

DOI10.1016/S0377-0427(99)00381-7zbMath1010.65016OpenAlexW2061753576MaRDI QIDQ5937188

Yong-Zhong Song

Publication date: 12 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00381-7

zbMATH Keywords

\(p\)-cyclic matricesblock successive overrelaxationsemiconvergencesingular linear systems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (4)

Semiconvergence of block AOR method for singular \(p\)-cyclic matrices ⋮ GSTS-Uzawa method for a class of complex singular saddle point problems ⋮ On the semiconvergence of additive and multiplicative splitting iterations for singular linear systems ⋮ Generalized successive overrelaxation iterative method for a class of complex symmetric linear system of equations

Cites Work

• Over- and underrelaxation for linear systems with weakly cyclic Jacobi matrices of index p
• \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
• Block iterative algorithms for stochastic matrices
• Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator
• Algebraic eigenspaces of nonnegative matrices
• Convergent nonnegative matrices and iterative methods for consistent linear systems
• Optimal \(p\)-cyclic SOR
• Exact SOR convergence regions for a general class of \(p\)-cyclic matrices
• Convergent Regular Splittings for Singular M-Matrices
• On the Optimization of the Classical Iterative Schemes for the Solution of Complex Singular Linear Systems
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