|
|||||
|
|
A modification of Cauchy's method for quadratic equations |
|
| Authors: | J.A. Ezquerro,M.A. Herná ndez |
| Affiliation: | University of La Rioja, Department of Mathematics and Computation, C/Luis de Ulloa s/n, 26004 Logroño, Spain |
| 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. |
| Keywords: | Nonlinear equations in Banach spaces Cauchy's method Iterative methods Semilocal convergence theorem Recurrence relations Apriori error estimates R-order of convergence Integral equation Quadratic equation |
| 本文献已被 ScienceDirect 等数据库收录！ | |