On a new method for enlarging the radius of convergence for Newton's method

• Autorzy: Ioannis K. Argyros
• Języki publikacji: EN

Abstrakty

EN

We provide new local and semilocal convergence results for Newton's method. We introduce Lipschitz-type hypotheses on the mth-Frechet derivative. This way we manage to enlarge the radius of convergence of Newton's method. Numerical examples are also provided to show that our results guarantee convergence where others do not.

Kategorie tematyczne

• 65B05: Extrapolation to the limit, deferred corrections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2001
• Tom: 28
• Numer: 1
• Strony: 1-15

Daty

wydano

2001

Twórcy

autor

Ioannis K. Argyros

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

Identyfikatory

DOI

10.4064/am28-1-1