Comparison results between Jacobi and other iterative methods

DOI10.1016/j.cam.2003.10.017zbMath1057.65014OpenAlexW2067067301MaRDI QIDQ1877194

Ting-Zhu Huang, Zhuande Wang

Publication date: 16 August 2004

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.2003.10.017

zbMATH Keywords

preconditioningJacobi iterationSpectral radiusComparison resultsmodified preconditioned simultaneous displacement methodsMPSD iteration

Mathematics Subject Classification ID

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

Related Items (2)

Relaxation parameters and composite refinement techniques ⋮ Rational approximations for ill-conditioned equation systems

Cites Work

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• The modified preconditioned simultaneous displacement (MPSD) method
• Comparisons of nonnegative splittings of matrices
• Comparison theorems for weak splittings of bounded operators
• The principle of extrapolation in connection with the accelerated overrelaxation method
• The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations
• On the accelerated SSOR method for solving large linear systems
• Some comparison theorems for weak nonnegative splittings of bounded operators
• Some comparison theorems for nonnegative splittings of matrices
• On the Convergence of Some Generalized Preconditioned Iterative Methods

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