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Extension of Newton-Kantorovich method to equations with nondifferentiable operators

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Publication:1836278
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DOI10.1007/BF01682124zbMath0504.65035OpenAlexW2028428100MaRDI QIDQ1836278

P. P. Zlepko, Peter P. Zabreĭko

Publication date: 1983

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01682124


zbMATH Keywords

rate of convergenceBanach spacesuccessive approximationsiteration proceduresNewton-Kantorovich methodsmethod of majorantsnon- differentiable operators


Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)


Related Items (1)

On the convergence of modified Newton methods for solving equations containing a non-differentiable term



Cites Work

  • An application of a modification of the Newton-Kantorovich method to the approximate construction of implicit functions
  • Some generalizations of the Newton-Kantorovich method
  • Unnamed Item
  • Unnamed Item




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