Comparison theorems for a third order method

It is proved that monotone convergence of a third order bracketing method for nonlinear systems with convexity hypotheses is improved whenever the starting points are chosen componentwise as close to the root as possible.

Guardado en:
Detalles Bibliográficos
Autor principal: Milaszewicz, J.P.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_08939659_v10_n1_p17_Milaszewicz
Aporte de:
Descripción
Sumario:It is proved that monotone convergence of a third order bracketing method for nonlinear systems with convexity hypotheses is improved whenever the starting points are chosen componentwise as close to the root as possible.