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- W1997673239 abstract "In a recent work of ours we have solved the problem of the minimization of the spectral radius of the iteration matrix of a p -cyclic successive overrelaxation (SOR) method for the solution of the linear system Ax = b , when the matrix A is block p -cyclic consistently ordered, for what is known as the “one-point” problem, for any p ⩾ 3. Particular cases of the “one-point” problem were solved by Young, Varga, Kjellberg, Kredell, Russell and others. In the present work we develop a theory using the results of our previous one and solve first the “two-point” problem special cases of which were solved by Wrigley, Eiermann, Niethammer, Ruttan, Noutsos and others. Secondly, we generalize and extend our theory to cover the “many-point” problem and develop a Young-Eidson's type algorithm for its solution. As possible application areas we mention among others the best block p -cyclic repartitioning for the SOR method are the solution of large scale systems arising in queueing network problems in Markov analysis." @default.
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- W1997673239 date "1999-01-01" @default.
- W1997673239 modified "2023-10-17" @default.
- W1997673239 title "A Young-Eidson's type algorithm for complex p-cyclic SOR spectra" @default.
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- W1997673239 doi "https://doi.org/10.1016/s0024-3795(98)10165-9" @default.
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