On Kantorovich's conditions for Newton's method

  1. J. A. Ezquerro 1
  2. D. González 1
  3. M. A. Hernández 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Proceedings:
Proceedings of the 2012 International Conference on Computational and Mathematical Methods in Science and Engineering, Murcia, Spain July 2-5, 2012, CMMSE

Publisher: CMMSE

ISBN: 978-84-615-5392-1

Year of publication: 2012

Pages: 529-532

Congress: 12th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE-2012, (12º. 2012. Murcia)

Type: Conference paper

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Abstract

We study the semilocal and local convergence of Newton’s method in Banach spacesunder a generalization of the classic conditions used in mathematical literature untilnow. We illustrate this study with some application