Abstract
On the basis of the results obtained in a series of papers [25]–[28], a convergence theorem for Newton’s method in Banach spaces is given, which improves the theorems of Kantorovich [4], Lancaster [8] and Ostrowski [10]. The error bounds obtained improve the recent results of Potra [17].
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Sponsored by the United States Army under Contract No. DAAG29-80-C-0041, and by the Ministry of Education in Japan.
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Yamamoto, T. A convergence theorem for Newton’s method in Banach spaces. Japan J. Appl. Math. 3, 37–52 (1986). https://doi.org/10.1007/BF03167090
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DOI: https://doi.org/10.1007/BF03167090