Inexact Newton method under weak and center-weak Lipschitz conditions

• Autorzy: I. K. Argyros , S. K. Khattri
• Języki publikacji: EN

Abstrakty

EN

The paper develops semilocal convergence of Inexact Newton Method INM for approximating solutions of nonlinear equations in Banach space setting. We employ weak Lipschitz and center-weak Lipschitz conditions to perform the error analysis. The results obtained compare favorably with earlier ones in at least the case of Newton's Method (NM). Numerical examples, where our convergence criteria are satisfied but the earlier ones are not, are also explored.

Kategorie tematyczne

• 65G99: None of the above, but in this section
• 47H99: None of the above, but in this section
• 65H10: Systems of equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 2
• Strony: 237-258

Daty

wydano

2013

Twórcy

autor

I. K. Argyros

• Department of Mathematical Sciences, Cameron University, Lawton, OK 73505-6377, U.S.A.

autor

S. K. Khattri

• Department of Engineering, Stord/Haugesund University College, N-414 Stord, Norway

Identyfikatory

DOI

10.4064/am40-2-6