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...

Szczegółowa specyfikacja

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Opis bibliograficzny
1. autor: Argyros, Ioannis Konstantinos, 1956-
Format: Livre numérique
Język:Anglais
Wydane: New York, NY : Springer New York 2008.
Cham : Springer Nature
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Edition sous un autre format:• Convergence and applications of Newton-type iterations, Ioannis K. Argyros, New York, Springer, 2008, 1 vol. (XV, 506 p.), 0-387-72741-8
• Convergence and Applications of Newton-type Iterations, Texte imprimé, 9780387566122
• Convergence and Applications of Newton-type Iterations, Texte imprimé, 9781441924926
Spis treści:
  • 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.