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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.6
V.G. Prikazchikov,1 A.N. Khimich2

COMPARING ONE-STEP AND TWO-STEP ITERATIVE METHODS
IN CONVERGENCE ENERGY

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.

Keywords: iterative methods, convergence rate, energy norm, characteristic equation, energy equivalence constants.



FULL TEXT

1Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: viktorprikazchikov@gmail.com.

2V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: khimich505@gmail.com.

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