On bounds for the convergence of the SSOR method forH-matrices

DOI10.1080/03081088408817575zbMath0532.65022OpenAlexW1984048692MaRDI QIDQ3314856

Michael Neumann

Publication date: 1984

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088408817575

zbMATH Keywords

comparisonJacobi iterationsymmetric successive overrelaxationH-matricesbounds for the convergence

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (15)

On the convergence of the unsymmetric successive overrelaxation (USSOR) method ⋮ A convergence analysis of block accelerated over-relaxation iterative methods for weak block \(H\)-matrices to partition \(\pi \) ⋮ Superior convergence domains for a \(p\)-cyclic SSOR majorizer ⋮ A note on the SSOR convergence domain due to Neumaier and Varga ⋮ Block ILU preconditioners for block-tridiagonal systems ⋮ Precise domains of convergence for the block SSOR method associated with p-cyclic matrices ⋮ Domains of divergence of the USSOR method applied on p-cyclic matrices ⋮ \(H\)-splittings and two-stage iterative methods ⋮ Neighborhoods of Dominant Convergence for the SSOR Method ⋮ On SSOR‐like preconditioners for non‐Hermitian positive definite matrices ⋮ Convergence of parallel multisplitting iterative methods for M-matrices ⋮ On domains of superior convergence of the SSOR method to that of the SOR method ⋮ Comparisons of regular splittings of matrices ⋮ Block ILU factorization preconditioners for a block-tridiagonal \(H\)-matrix ⋮ p-cyclic matrices and the symmetric successive overrelaxation method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices
• The Kahan S.O.R. convergence bound for nonsingular and irreducible M- matrices
• Zur Konvergenz des symmetrischen Relaxationsverfahrens
• On recurring theorems on diagonal dominance
• Über reguläre Zerlegungen von Matrizen und einige Anwendungen
• Iterative methods for determining the k shortest paths in a network
• On the Numerical Solution of Elliptic Difference Equations

This page was built for publication: On bounds for the convergence of the SSOR method forH-matrices