Improved local convergence analysis of inexact Newton-like methods under the majorant condition

• Autorzy: Ioannis K. Argyros , Santhosh George
• Języki publikacji: EN

Abstrakty

EN

We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations. Using more precise majorant conditions than in earlier studies, we provide: a larger radius of convergence; tighter error estimates on the distances involved; and a clearer relationship between the majorant function and the associated least squares problem. Moreover, these advantages are obtained under the same computational cost.

Kategorie tematyczne

• 49M15: Newton-type methods
• 65K10: Optimization and variational techniques
• 65G99: None of the above, but in this section
• 90C30: Nonlinear programming

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2015
• Tom: 42
• Numer: 4
• Strony: 343-357

Daty

wydano

2015

Twórcy

autor

Ioannis K. Argyros

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

autor

Santhosh George

• Department of Mathematical, and Computational Sciences, National Institute of Technology Karnataka, Karnataka, India 757 025

Identyfikatory

DOI

10.4064/am2240-11-2015