How to Obtain Global Convergence Domains via Newton’s Method for Nonlinear Integral Equations

José Antonio Ezquerro and Miguel Ángel Hernández-Verón
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José Antonio Ezquerro: Department of Mathematics and Computation, University of La Rioja, Calle Madre de Dios, 53, 26006 Logrono, Spain
Miguel Ángel Hernández-Verón: Department of Mathematics and Computation, University of La Rioja, Calle Madre de Dios, 53, 26006 Logrono, Spain

Mathematics, 2019, vol. 7, issue 6, 1-9

Abstract: We use the theoretical significance of Newton’s method to draw conclusions about the existence and uniqueness of solution of a particular type of nonlinear integral equations of Fredholm. In addition, we obtain a domain of global convergence for Newton’s method.

Keywords: Fredholm integral equation; Newton’s method; global convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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