Optimal \(p\)-cyclic SOR

DOI10.1007/s002110050039zbMath0803.65032OpenAlexW2092639440MaRDI QIDQ1330384

Robert J. Plemmons, Apostolos Hadjidimos

Publication date: 18 July 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050039

zbMATH Keywords

algorithmsconvergenceMarkov chainslarge scale systemsiterative methodsmultigrid methodscommunication systemstransportation systems\(p\)-cyclic successive overrelaxationconsistent singular systemsqueueing network problems

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Iterative numerical methods for linear systems (65F10) Probabilistic methods, stochastic differential equations (65C99)

Related Items (12)

Superior convergence domains for a \(p\)-cyclic SSOR majorizer ⋮ Exact SOR convergence regions for a general class of \(p\)-cyclic matrices ⋮ Optimal \(p\)-cyclic SOR for complex spectra ⋮ Towards the determination of the optimal \(p\)-cyclic SSOR ⋮ Block Gauss elimination followed by a classical iterative method for the solution of linear systems. ⋮ Semiconvergence of block SOR method for singular linear systems with \(p\)-cyclic matrices ⋮ Random Walk on Fixed Spheres for Laplace and Lamé equations ⋮ The Ostrowski-Reich theorem for SOR iterations: Extensions to the rank deficient case ⋮ Conference celebrating the 60th birthday of Robert J. Plemmons. Papers from the conference, Winston-Salem, NC, USA, January 1999 ⋮ Dedication to Robert J. Plemmons ⋮ A Young-Eidson's type algorithm for complex \(p\)-cyclic SOR spectra ⋮ Successive overrelaxation (SOR) and related methods

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