Geodesic
On a new method for enlarging the radius of convergence for Newton's method
Ioannis K. Argyros1
1 Department of Mathematics Cameron University Lawton, OK 73505, U.S.A.
Applicationes Mathematicae, Tome 28 (2001) no. 1, pp. 1-15 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We provide new local and semilocal convergence results for Newton's method. We introduce Lipschitz-type hypotheses on the $m$th-Frechet derivative. This way we manage to enlarge the radius of convergence of Newton's method. Numerical examples are also provided to show that our results guarantee convergence where others do not.
DOI : 10.4064/am28-1-1
Keywords: provide local semilocal convergence results newtons method introduce lipschitz type hypotheses mth frechet derivative manage enlarge radius convergence newtons method numerical examples provided results guarantee convergence where others

Ioannis K. Argyros 1

1 Department of Mathematics Cameron University Lawton, OK 73505, U.S.A. 
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Ioannis K. Argyros. On a new method for enlarging the
radius of convergence for Newton's method. Applicationes Mathematicae, Tome 28 (2001) no. 1, pp. 1-15. doi: 10.4064/am28-1-1

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