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Comparing the Energy of Convergence of One-Step and Two-Step Iterative Methods

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Cybernetics and Systems Analysis Aims and scope

Abstract

The paper establishes the exact error energy compression ratio on each step of the two-step method, which shows a better convergence rate compared with the one-step method with optimal parameter.

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References

  1. A. A. Samarskii and E. S. Nikolaev, Methods to Solve Finite Difference Equations [in Russian], Nauka, Moscow (1978).

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  2. A. A. Samarskii, An Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1971).

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  3. V. G. Pkikazchikov and I. N. Garashchuk, A Three-Layer Iterative Scheme to Calculate the Minimum Eigenvalue. Numerical Analysis [in Russian], Inst. of Cybernetics AS UkrSSR, Kyiv (1978), pp. 49–53.

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    V. G. Prikazchikov

  2. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    A. N. Khimich

Authors
  1. V. G. Prikazchikov
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  2. A. N. Khimich
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Corresponding author

Correspondence to V. G. Prikazchikov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2017, pp. 26–30.

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Prikazchikov, V.G., Khimich, A.N. Comparing the Energy of Convergence of One-Step and Two-Step Iterative Methods. Cybern Syst Anal 53, 21–25 (2017). https://doi.org/10.1007/s10559-017-9903-0

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  • DOI: https://doi.org/10.1007/s10559-017-9903-0

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