Inexact Newton methods and recurrent functions

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

Abstrakty

EN

We provide a semilocal convergence analysis for approximating a solution of an equation in a Banach space setting using an inexact Newton method. By using recurrent functions, we provide under the same or weaker hypotheses: finer error bounds on the distances involved, and an at least as precise information on the location of the solution as in earlier papers. Moreover, if the splitting method is used, we show that a smaller number of inner/outer iterations can be obtained. Furthermore, numerical examples are provided using polynomial, integral and differential equations.

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: 2010
• Tom: 37
• Numer: 1
• Strony: 113-126

Daty

wydano

2010

Twórcy

autor

Ioannis K. Argyros

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

autor

Saïd Hilout

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

Identyfikatory

DOI

10.4064/am37-1-8