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

Author

Listed:
  • 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)

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.

Suggested Citation

  • José Antonio Ezquerro & Miguel Ángel Hernández-Verón, 2019. "How to Obtain Global Convergence Domains via Newton’s Method for Nonlinear Integral Equations," Mathematics, MDPI, vol. 7(6), pages 1-9, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:553-:d:240601
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    Cited by:

    1. José A. Ezquerro & Miguel A. Hernández-Verón, 2020. "The Newtonian Operator and Global Convergence Balls for Newton’s Method," Mathematics, MDPI, vol. 8(7), pages 1-9, July.

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