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Convergence and Applications of Newton-type Iterations

Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and imp...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Argyros, Ioannis K. (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: New York, NY : Springer New York : Imprint: Springer, 2008.
Édition:1st ed. 2008.
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • Operators and Equations
  • The Newton Kantorovich (NK) Method
  • Applications of the Weaker Version of the NK Theorem
  • Special Methods
  • Newton-like Methods
  • Analytic Computational Complexity We Are Concerned with the Choice of Initial Approximations
  • Variational Inequalities
  • Convergence Involving Operators with Outer or Generalized Inverses
  • Convergence on Generalized Banach Spaces: Improving Error Bounds and Weakening of Convergence Conditions
  • Point to Set Mappings
  • The Newton Kantorovich Theorem and Mathematical Programming.