2017
Том 69
№ 6

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Asymptotic Rate of Convergence of a Two-Layer Iterative Method of the Variational Type

Musina A. A., Zhuk P. F.

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Abstract

We present the definition and study the dependence on the initial approximation of the asymptotic rate of convergence of a two-layer symmetrizable iterative method of the variational type. The explicit expression is obtained for the substantial (with respect to the Lebesgue measure) range of its values. Its domain of continuity is described.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 12, pp 1793-1808.

Citation Example: Musina A. A., Zhuk P. F. Asymptotic Rate of Convergence of a Two-Layer Iterative Method of the Variational Type // Ukr. Mat. Zh. - 2013. - 65, № 12. - pp. 1622–1635.

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