A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators

• Autorzy: I. K. Argyros , D. González
• Języki publikacji: EN

Abstrakty

EN

We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.

Kategorie tematyczne

• 49M15: Newton-type methods
• 47J25: Iterative procedures
• 65G99: None of the above, but in this section
• 47J05: Equations involving nonlinear operators (general)
• 65J15: Equations with nonlinear operators (do not use )

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2015
• Tom: 42
• Numer: 1
• Strony: 29-56

Daty

wydano

2015

Twórcy

autor

I. K. Argyros

• Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, U.S.A.

autor

D. González

• Center on Mathematical Modelling, Escuela Politécnica Nacional, Quito, Ecuador

Identyfikatory

DOI

10.4064/am42-1-4