Secant-like methods for solving nonlinear integral equations of Hammerstein typesp
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Universidad de La Rioja
info
ISSN: 0377-0427
Year of publication: 2000
Volume: 115
Issue: 1-2
Pages: 245-254
Type: Article
More publications in: Journal of Computational and Applied Mathematics
Abstract
We consider a one-parametric family of secant-type iterations for solving nonlinear equations in Banach spaces. We establish a semilocal convergence result for these iterations by means of a technique based on a new system of recurrence relations. This result is then applied to obtain existence and uniqueness results for nonlinear integral equations of the Hammerstein type. We also present a numerical example where the solution of a particular Hammerstein integral equation is approximated by different secant-type methods. © 2000 Elsevier Science B.V.