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Article type: Research Article
Authors: Petcu, Dana
Affiliations: University of Timişoara, B-dul Vasile Pârvan 4, 1900 Timişoara, Romania
Abstract: The article is dedicated to Newton's method for solving non-linear equation systems. The Kantorovich convergence theorem assumes that the derivative of the system function is Lipschitz continuous. Our purpose is to provide error estimates in the case of a Hölder continuous derivative.
Keywords: numerical analysis, Kantorovich's theorems, Newton method, nonlinear equations, error estimate
DOI: 10.3233/INF-1993-41-213
Journal: Informatica, vol. 4, no. 1-2, pp. 188-198, 1993
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