Title of article :
On the R-order of the Halley method ✩
Author/Authors :
J.A. Ezquerro، نويسنده , , M.A. Hernandez-Landaverde، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2005
Abstract :
An R-order bound for the Halley method is obtained in this work, where an analysis of the convergence
of the method is also presented under mild differentiability conditions. To do this, a new
technique is developed, where the involved operator must satisfy some recurrence relations.
2004 Elsevier Inc. All rights reserved
Keywords :
Halley’s method , Semilocal convergence theorem , Recurrence relations , a priori error estimates , Nonlinear equations in Banach spaces , R-order of convergence
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
