A Unified Approach for Constructing Fast Two-Step Newton-like Methods.
Ioannis K. Argyros (1995)
Monatshefte für Mathematik
Similarity:
Ioannis K. Argyros (1995)
Monatshefte für Mathematik
Similarity:
Gerd Wegner (1992)
Monatshefte für Mathematik
Similarity:
G.J. Miel (1979)
Numerische Mathematik
Similarity:
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to ...
Tetsuro Yamamoto (1986)
Numerische Mathematik
Similarity:
W.M. Schmidt, Julia Mueller (1992)
Monatshefte für Mathematik
Similarity:
Ioannis K. Argyros (2005)
Applicationes Mathematicae
Similarity:
The Newton-Kantorovich hypothesis (15) has been used for a long time as a sufficient condition for convergence of Newton's method to a locally unique solution of a nonlinear equation in a Banach space setting. Recently in [3], [4] we showed that this hypothesis can always be replaced by a condition weaker in general (see (18), (19) or (20)) whose verification requires the same computational cost. Moreover, finer error bounds and at least as precise information on the location of the...
J. Rokne (1971/72)
Numerische Mathematik
Similarity:
Argyros, Ioannis K. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Similarity:
F.A. Potra, V. Pták (1980)
Numerische Mathematik
Similarity:
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein...
P. LANCASTER (1966/67)
Numerische Mathematik
Similarity: