Optimal Error Bounds for the Newton–Kantorovich Theorem

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1974 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 11, pages 10-13 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Gragg, W. B.; Tapia, R. A.;

doi: 10.1137/0711002

Optimal Error Bounds for the Newton–Kantorovich Theorem

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Abstract

Best possible upper and lower bounds for the error in Newton’s method are established under the hypotheses of the Kantorovich theorem.

Keywords

Roundoff error, Numerical computation of solutions to systems of equations, General theory of numerical analysis in abstract spaces

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