A convergence analysis of Newton-like methods for singular equations using outer or generalized inverses

• Autorzy: Ioannis K. Argyros
• Języki publikacji: EN

Abstrakty

EN

The Newton-Kantorovich approach and the majorant principle are used to provide new local and semilocal convergence results for Newton-like methods using outer or generalized inverses in a Banach space setting. Using the same conditions as before, we provide more precise information on the location of the solution and on the error bounds on the distances involved. Moreover since our Newton-Kantorovich-type hypothesis is weaker than before, we can cover cases where the original Newton-Kantorovich hypothesis is violated.

Kategorie tematyczne

• 49M15: Newton-type methods
• 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
• 65G99: None of the above, but in this section
• 65J15: Equations with nonlinear operators (do not use )
• 65H10: Systems of equations
• 65B05: Extrapolation to the limit, deferred corrections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2005
• Tom: 32
• Numer: 1
• Strony: 37-49

Daty

wydano

2005

Twórcy

autor

Ioannis K. Argyros

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

Identyfikatory

DOI

10.4064/am32-1-3