An application of Newton's method to differential and integral equations

  1. Gutiérrez, J.M. 1
  2. Hernändez, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
ANZIAM Journal

ISSN: 1446-1811

Año de publicación: 2001

Volumen: 42

Número: 3

Páginas: 372-386

Tipo: Artículo

DOI: 10.1017/S1446181100012001 SCOPUS: 2-s2.0-33747245702 WoS: WOS:000167569900005 GOOGLE SCHOLAR

Otras publicaciones en: ANZIAM Journal

Resumen

Newton's method is applied to an operator that satisfies stronger conditions than those of Kantorovich. Convergence and error estimates are compared in the two situations. As an application, we obtain information on the existence and uniqueness of a solution for differential and integral equations. © Australian Mathematical Society 2001,.