An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method

• Ioannis K Argyros ^[1]
  1. [1] Cameron University

     Cameron University

     Estados Unidos

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 1, 2010, págs. 147-159
• Idioma: inglés
• DOI: 10.4067/S0719-06462010000100013
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• Referencias bibliográficas
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  • Argyros, I.K. (2005). Approximate Solution of Operator Equations with Applications.
  • Argyros, I.K. An improved convergence and complexity analysis of Newton's method for solving equations: to appear.
  • Kantorovich, L.V,Akilov, G.P. (1959). Functional Analysis in Normed Spaces.
  • Ortega, J.M,Rheinboldt, W.C. (1970). Iterative Solution of Nonlinear Equations in Several Variables. Academic Press. New York.
  • Traub, J.F,Wozniakowski, H. (1976). In Analytic Computational Complexity. Ed., Academic Press. New York.
  • Traub, J.F,Wozniakowski, H. (1979). Convergence and complexity of Newton iteration for operator equations. J. Assoc. Comput. Machinery. 26....