Ukrainian Mathematical Journal

, Volume 65, Issue 12, pp 1793–1808 | Cite as

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

  • P. F. Zhuk
  • A. A. Musina

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.


Lebesgue Measure Initial Approximation Steep Descent Variational Type Iterative Sequence 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • P. F. Zhuk
    • 1
  • A. A. Musina
    • 1
  1. 1.Ukraininan National Aircraft UniversityKyivUkraine

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