Abstract
We expand the convergence domain of Newton–like methods
for solving nonlinear equations in a Banach space setting. Using more
precise majorizing sequences, we provide a more precise local as well
as a semilocal convergence analysis than in earlier studies such as [2]-
[14], [16]-[30]. Our results are illustrated by several numerical examples,
for which older convergence conditions do not hold but for which our
convergence conditions are satisfied.
Ioannis K. Argyros, Santhosh George. (2015) Expanding the Convergence Domain of Newton–like Methods and Applications in Banach Space, Punjab University Journal of Mathematics, Volume 47, Issue 1.
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