Abstract
We propose a collection of hybrid methods combining Newton’s method with frozen derivatives and a family of high-order iterative schemes. We present semilocal convergence results for this collection on a Banach space setting. Using a more precise majorizing sequence and under the same or weaker convergence conditions than the ones in earlier studies, we expand the applicability of these iterative procedures.
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Research supported for the first and third authors in part by MINECO-FEDER MTM2010-17508 and 08662/PI/08.
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Communicated by Florian Potra.
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Amat, S., Argyros, I.K., Busquier, S. et al. Expanding the Applicability of High-Order Traub-Type Iterative Procedures. J Optim Theory Appl 161, 837–852 (2014). https://doi.org/10.1007/s10957-013-0440-3
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DOI: https://doi.org/10.1007/s10957-013-0440-3