A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
Volume 42 / 2015
Applicationes Mathematicae 42 (2015), 29-56
MSC: 65G99, 65J15, 49M15, 47J25, 47J05.
DOI: 10.4064/am42-1-4
Abstract
We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.
