Abstract
When the semilocal convergence of Newton’s method is studied in Banach spaces under center Lipschitz conditions, it is usual to choose the point where the Lipschitz condition is centered as the initial point for Newton’s method. In this work, we improve this choice looking for a domain of initial points (a convergence domain).
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This work was supported in part by the project MTM2011-28636-C02-01 of the Spanish Ministry of Science and Innovation.
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Ezquerro, J.A., Hernández-Verón, M.A. On the Domain of Starting Points of Newton’s Method Under Center Lipschitz Conditions. Mediterr. J. Math. 13, 2287–2300 (2016). https://doi.org/10.1007/s00009-015-0596-1
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DOI: https://doi.org/10.1007/s00009-015-0596-1