bokomslag Mild Differentiability Conditions for Newton's Method in Banach Spaces
Vetenskap & teknik

Mild Differentiability Conditions for Newton's Method in Banach Spaces

Jos Antonio Ezquerro Fernandez Miguel Ngel Hernndez Vern

Pocket

569:-

Funktionen begränsas av dina webbläsarinställningar (t.ex. privat läge).

Uppskattad leveranstid 7-12 arbetsdagar

Fri frakt för medlemmar vid köp för minst 249:-

  • 178 sidor
  • 2020
In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authors technique relies on the construction of a scalar sequence, not majorizing, that satisfies a system of recurrence relations, and guarantees the convergence of the method. The application is user-friendly and has certain advantages over Kantorovichs majorant principle. First, it allows generalizations to be made of the results obtained under conditions of Newton-Kantorovich type and, second, it improves the results obtained through majorizing sequences. In addition, the authors extend the application of Newtons method in Banach spaces from the modification of the domain of starting points. As a result, the scope of Kantorovichs theory for Newtons method is substantially broadened. Moreover, this technique can be applied to any iterative method. This book is chiefly intended for researchers and (postgraduate) students working on nonlinear equations, as well as scientists in general with an interest in numerical analysis.
  • Författare: Jos Antonio Ezquerro Fernandez, Miguel Ngel Hernndez Vern
  • Format: Pocket/Paperback
  • ISBN: 9783030487010
  • Språk: Engelska
  • Antal sidor: 178
  • Utgivningsdatum: 2020-07-04
  • Förlag: Springer Nature Switzerland AG