Sobre la convergencia de un método secante para ecuaciones matriciales no lineales

• Macías C., Mauricio ^[1] ; Martínez, Héctor J. ^[2] ; Pérez, Rosana ^[1]
  1. [1] Universidad del Cauca

     Universidad del Cauca

     Colombia

     
  2. [2] Universidad del Valle
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 32, Nº. 2, 2014 (Ejemplar dedicado a: Revista Integración), págs. 181-197
• Idioma: español
• Títulos paralelos:
  • On the convergence of a secant method for nonlinear matrix equations
• Enlaces
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• Resumen
  • español

    En este artículo desarrollamos una teoría general de convergencia de un método secante para resolver ecuaciones matriciales no lineales. Además, presentamos condiciones suficientes para que este método proporcione un algoritmo local y superlinealmente convergente.

  • English

    In this paper we develop a general theory of convergence of a secant method to solve nonlinear matrix equations. In addition, we give sufficient conditions in order to this method provide a local and superlinearly convergent algorithm.

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