On the convergence of two-step Newton-type methods of high efficiency index

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

Abstrakty

EN

We introduce a new idea of recurrent functions to provide a new semilocal convergence analysis for two-step Newton-type methods of high efficiency index. It turns out that our sufficient convergence conditions are weaker, and the error bounds are tighter than in earlier studies in many interesting cases. Applications and numerical examples, involving a nonlinear integral equation of Chandrasekhar type, and a differential equation containing a Green's kernel are also provided.

Kategorie tematyczne

• 49M15: Newton-type methods
• 65G99: None of the above, but in this section
• 65J15: Equations with nonlinear operators (do not use )
• 65H10: Systems of equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 4
• Strony: 465-499

Daty

wydano

2009

Twórcy

autor

Ioannis K. Argyros

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

autor

Saïd Hilout

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

Identyfikatory

DOI

10.4064/am36-4-6