Geodesic
Local convergence theorems for Newton's method from data at one point
Ioannis K. Argyros 1
1 Department of Mathematics Cameron University Lawton, OK 73505, U.S.A.
Applicationes Mathematicae, Tome 29 (2002) no. 4, pp. 481-486 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We provide local convergence theorems for the convergence of Newton's method to a solution of an equation in a Banach space utilizing only information at one point. It turns out that for analytic operators the convergence radius for Newton's method is enlarged compared with earlier results. A numerical example is also provided that compares our results favorably with earlier ones.
DOI : 10.4064/am29-4-7
Keywords: provide local convergence theorems convergence newtons method solution equation banach space utilizing only information point turns out analytic operators convergence radius newtons method enlarged compared earlier results numerical example provided compares results favorably earlier

Ioannis K. Argyros  1

1 Department of Mathematics Cameron University Lawton, OK 73505, U.S.A. 
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Ioannis K. Argyros. Local convergence theorems for
 Newton's method from
 data at one point. Applicationes Mathematicae, Tome 29 (2002) no. 4, pp. 481-486. doi: 10.4064/am29-4-7

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