The Newton?Kantorovich method under mild differentiability conditions and the Pt�k error estimates
Copyright policy )The Newton?Kantorovich method under mild differentiability conditions and the Pt�k error estimates
We study the Newton-Kantorovich method under mild differentiability conditions. Using Zabrejko-Nguen assumptions we extend and improve error estimates obtained before by \textit{P. P. Zabrejko} and \textit{D. F. Nguen} [Numer. Funct. Anal. Optimization 9, 671-684 (1987; Zbl 0627.65069)], \textit{H. B. Keller} [unpublished manuscript (1965)], \textit{J. Rokne} [Numer. Math. 18, 401-412 (1972; Zbl 0221.65084)], the author [Monatsh. Math. 106, 85-94 (1988; Zbl 0652.65043)] and others.
- New Mexico State University United States
- DigiZeitschriften Germany
510.mathematics, Iterative procedures involving nonlinear operators, error estimates, Numerical solutions to equations with nonlinear operators, Newton-Kantorovich method, Article
510.mathematics, Iterative procedures involving nonlinear operators, error estimates, Numerical solutions to equations with nonlinear operators, Newton-Kantorovich method, Article
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