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- W2021308552 abstract "The asymptotic rate of convergence of an optimal Chebyshev semiiterative method for solving a real and nonsymmetric linear system x=Tx+c can be improved by the related (2,2)-step iterative methods under certain conditions. The condition for which a Chebyshev method asymptotically optimal for an elliptic region is also asymptotically optimal for a nearly elliptic region is presented. Thus a (2,2)-step method is asymptotically superior to the Chebyshev method asymtotically optimal for a nearly elliptic region under certain conditions. A numerical example illustrates our results." @default.
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- W2021308552 date "2001-11-01" @default.
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- W2021308552 title "Is a Chebyshev method optimal for an elliptic region also optimal for a nearly elliptic region?" @default.
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- W2021308552 doi "https://doi.org/10.1016/s0024-3795(01)00362-7" @default.
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