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Improvement of the two-step Richardson algorithm. (English. Russian original) Zbl 0855.65020
Cybern. Syst. Anal. 31, No. 6, 927-930 (1995); translation from Kibern. Sist. Anal. 1995, No. 6, 166-169 (1995).
Summary: The structure is refined and a priori estimates are suggested for a two-cycle iterative Richardson algorithm proposed earlier by the author.
MSC:
65F10 Iterative numerical methods for linear systems
65B05 Extrapolation to the limit, deferred corrections
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References:
[1] A. V. Buledza, ”Two-step versions of the iterative Richardson method,” Kibernetika, No. 2, 35–40 46 (1987).
[2] A. V. Buledza, ”Modern issues in the development of the theory of iterative methods with Chebyshev acceleration,” Kibern. Sist. Anal., No. 4, 105–116 (1992). · Zbl 0875.65052
[3] D. K. Faddeev and V. N. Faddeeva, Computational Methods of Linear Algebra [in Russian], Fizmatgiz, Moscow-Leningrad (1963). · Zbl 0112.07503
[4] N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Numerical Methods [in Russian], Nauka, Moscow (1987).
[5] V. I. Lebedev and S. A. Finogenov, ”On the order of selection of iteration parameters in the Chebyshev cyclic iteration method,” Zh. Vychisl. Matem. i Mat. Fiziki,11, No. 2, 425–438 (1971). · Zbl 0221.65099
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