Resolución de ecuaciones no lineales mediante procesos iterativos

  1. Ezquerro Fernández, José Antonio 1
  2. González Sánchez, Daniel 2
  3. Gutiérrez Jiménez, José Manuel 1
  4. Magreñán Ruiz, Ángel Alberto 3
  5. Romero Álvarez, Natalia 1
  6. Rubio, María Jesús 1
  7. Hernández Verón, Miguel Angel 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Escuela Politécnica Nacional
    info

    Escuela Politécnica Nacional

    Quito, Ecuador

    ROR https://ror.org/01gb99w41

  3. 3 Universidad Internacional de La Rioja
    info

    Universidad Internacional de La Rioja

    Logroño, España

    ROR https://ror.org/029gnnp81

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Journal:
Zubía

ISSN: 0213-4306

Year of publication: 2014

Issue Title: Investigación en el Departamento de Matemáticas y Computación de la Universidad de La Rioja

Issue: 26

Pages: 165-200

Type: Article

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Abstract

The main aim of this work is to show, in as a self-contained way as possible, a contribution to a classic problem of Mathematics: the numerical solution of nonlinear equations using iterative processes. This paper is authored by members of the PRIENOL research group based at the University of La Rioja. We have chosen Newton’s method as the iterative process of reference to solve the problem, and to introduce the most important concepts involved in its study (convergence, operational cost, efficiency, etc.), as well. Then, we give account of some of the results obtained for other iterative processes also related to Newton’s method. Finally, we discuss some applications of the methods to specific problems.

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