On the semilocal convergence of Newton–Kantorovich method under center-Lipschitz conditions

Computational Solution of Nonlinear Operator Equations

J. M. O., L. B. Rall · Mathematics of Computation · 1970 · 531 citations

Natural Sciences, Computational Engineering, Mathematics +14

New general convergence theory for iterative processes and its applications to Newton–Kantorovich type theorems

Petko D. Proĭnov · Journal of Complexity · 2009 · 222 citations

Computing, Computer Science, Scientific Computing +12

Historical developments in convergence analysis for Newton's and Newton-like methods

Tetsuro Yamamoto · Journal of Computational and Applied Mathematics · 2000 · 110 citations

Computing, Mathematics, Computational Mechanics +15

On some computational orders of convergence

Miquel Grau-Sánchez, Miquel Noguera, J.M. Gutiérrez · Applied Mathematics Letters · 2009 · 88 citations · Full text

Computing, Computer Science, Scientific Computing +9

New results on newton-kantorovich approximations with applications to nonlinear integral equations

Jürgen Appell, Espedito De Pascale, Julia V. Lysenko et al. · Numerical Functional Analysis and Optimization · 1997 · 56 citations

Natural Sciences, Mathematics, Computational Mechanics +13