An application of a modification of the Newton-Kantorovich method to the approximate construction of implicit functions
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Publication:1142019
DOI10.1007/BF01085637zbMath0438.65055OpenAlexW2033488542MaRDI QIDQ1142019
Publication date: 1978
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01085637
Banach spacescompletely continuous operatormethod of successive approximationsNewton- Kantorovich methodapproximate construction of implicit functions
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (2)
On the convergence of generalized Newton methods and implicit functions ⋮ Extension of Newton-Kantorovich method to equations with nondifferentiable operators
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