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A convergence analysis and applications for the Newton-Kantorovich method in K-normed spaces
Rendiconti del Circolo Matematico di Palermo, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An improved convergence analysis for the Newton–Kantorovich method using recurrence relations
International Journal of Computer Mathematics, 2010We generate a sequence using the Newton-Kantorovich method in order to approximate a locally unique solution of an operator equation on a Banach space under Holder continuity conditions. Using recurrence relations, Holder as well as centre-Holder continuity assumptions on the operator involved, we provide a semilocal convergence analysis with the ...
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A regularizing algorithm based on the newton-kantorovich method for solving variational inequalities
USSR Computational Mathematics and Mathematical Physics, 1976Abstract ITERATIVE methods of Newton's type for solving variational inequalities, and regularized analogues of these methods, are studied. The results obtained make it possible to justify a number of iterative algorithms for solving non-linear ill-posed problems.
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Some generalizations of the Newton-Kantorovich method
Ukrainian Mathematical Journal, 1969Kurpel', N. S., Migovich, F. M.
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On a generalization of the method of Newton - kantorovich
Ukrainian Mathematical Journal, 1972openaire +1 more source
On the Newton-Kantorovich method
USSR Computational Mathematics and Mathematical Physics, 1968openaire +2 more sources
On the Newton-Kantorovich method and some of its modifications
Siberian Mathematical Journal, 1971openaire +1 more source
A semilocal convergence result for Newton’s method under generalized conditions of Kantorovich
Journal of Complexity, 2014M A Hernández-Verón, J A Ezquerro
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