Expanding the applicability of two-point Newton-like methods under generalized conditions

• Autorzy: Ioannis K. Argyros , Saïd Hilout
• Języki publikacji: EN

Abstrakty

EN

We use a two-point Newton-like method to approximate a locally unique solution of a nonlinear equation containing a non-differentiable term in a Banach space setting. Using more precise majorizing sequences than in earlier studies, we present a tighter semi-local and local convergence analysis and weaker convergence criteria. This way we expand the applicability of these methods. Numerical examples are provided where the old convergence criteria do not hold but the new convergence criteria are satisfied.

Kategorie tematyczne

• 49M15: Newton-type methods
• 65G99: None of the above, but in this section
• 47H99: None of the above, but in this section
• 65J15: Equations with nonlinear operators (do not use )

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 1
• Strony: 63-90

Daty

wydano

2013

Twórcy

autor

Ioannis K. Argyros

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

autor

Saïd Hilout

• Poitiers University, Laboratoire de Mathématiques et Applications, Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France

Identyfikatory

DOI

10.4064/am40-1-4