Title of article
A modification of Cauchy’s method for quadratic equations
Author/Authors
J.A. Ezquerro، نويسنده , , M.A. Hernandez-Landaverde، نويسنده , , N. Romero، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
16
From page
954
To page
969
Abstract
The plan of this paper is to obtain one-point iterative methods with any R-order of convergence, when they are applied to
approximate solutions of quadratic equations in Banach spaces. To do this, we consider real Cauchy’s method and, under certain
natural modifications, it is extended to Banach spaces. Some applications are also provided.
© 2007 Elsevier Inc. All rights reserved
Keywords
Nonlinear equations in Banach spaces , Cauchy’s method , Iterative methods , Semilocal convergence theorem , Recurrence relations , R-order of convergence , Integral equation , Quadratic equation , Apriori error estimates
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936677
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