On the order of convergence of Broyden-Gay-Schnabel's method
J. M. Martínez (1978)
Commentationes Mathematicae Universitatis Carolinae
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J. M. Martínez (1978)
Commentationes Mathematicae Universitatis Carolinae
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Della Vecchia, B., Mastroianni, G., Szabados, J. (1999)
Journal of Inequalities and Applications [electronic only]
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Karel Beneš (1981)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Ioannis Argyros, Hongmin Ren (2008)
Open Mathematics
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We re-examine a quadratically convergent method using divided differences of order one in order to approximate a locally unique solution of an equation in a Banach space setting [4, 5, 7]. Recently in [4, 5, 7], using Lipschitz conditions, and a Newton-Kantorovich type approach, we provided a local as well as a semilocal convergence analysis for this method which compares favorably to other methods using two function evaluations such as the Steffensen’s method [1, 3, 13]. Here, we provide...