On a convex acceleration of Newton's method
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1
Universidad de La Rioja
info
ISSN: 0022-3239
Argitalpen urtea: 1999
Alea: 106
Zenbakia: 1
Orrialdeak: 311-326
Mota: Artikulua
Beste argitalpen batzuk: Journal of Optimization Theory and Applications
Laburpena
In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our results are also provided.