Geodesic
A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
I. K. Argyros 1   ; D. González 2
1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Center on Mathematical Modelling Escuela Politécnica Nacional Quito, Ecuador
Applicationes Mathematicae, Tome 42 (2015) no. 1, pp. 29-56 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.
DOI : 10.4064/am42-1-4
Keywords: provide local semilocal convergence analysis newtons method using unifying hypotheses twice chet differentiable operators banach space setting approach extends applicability newtons method numerical examples provided

I. K. Argyros  1   ; D. González  2

1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Center on Mathematical Modelling Escuela Politécnica Nacional Quito, Ecuador 
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I. K. Argyros; D. González. A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators. Applicationes Mathematicae, Tome 42 (2015) no. 1, pp. 29-56. doi: 10.4064/am42-1-4

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