Topological cones, operator equations, and the Newton-Kantorovich method
Mathematical Notes of the Academy of Sciences of the USSR, 1983Translation from Mat. Zametki 33, No.1, 65-70 (Russian) (1983; Zbl 0508.47013).
openaire +3 more sources
Gradient and Newton-Kantorovich Methods for Microwave Tomography
1997The development of reconstruction algorithms for Active Microwave Imaging, with applications in the medical domain or for non-destructive testing [1], and more generally for electromagnetic and acoustic imaging [2], has gained much interest during the last decade.
Christian Pichot +6 more
openaire +1 more source
On the approximate solution of an autonomous boundary-value problem by the Newton–Kantorovich method
Journal of Mathematical Sciences, 2013The authors propose an iterative approximation scheme for the second-order boundary value problem \[ z''=Az+Bz'+f+\varepsilon Z\left(z,z',\varepsilon\right)\text{, }\,\ell z(\cdot,\varepsilon)=\alpha+\varepsilon J\left(z(\cdot,\varepsilon),z'(\cdot,\varepsilon),\varepsilon\right), \] where standard regularity hypotheses are imposed on the function \(Z\)
Chuiko, S. M. +2 more
openaire +1 more source
Convergence of the Newton-Kantorovich Method under Vertgeim Conditions: a New Improvement
Zeitschrift für Analysis und ihre Anwendungen, 1998Let f: B(x_0, R) \subset X \to Y be an operator from a closed ball of a Banach space X to a Banach space Y
De Pascale, E., Zabreiko, P. P.
openaire +2 more sources
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.
openaire +2 more sources
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 ...
openaire +1 more source
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.
openaire +2 more sources
On a generalization of the method of Newton - kantorovich
Ukrainian Mathematical Journal, 1972openaire +1 more source
Some generalizations of the Newton-Kantorovich method
Ukrainian Mathematical Journal, 1969Kurpel', N. S., Migovich, F. M.
openaire +2 more sources
On the Newton-Kantorovich method
USSR Computational Mathematics and Mathematical Physics, 1968openaire +2 more sources