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An optimization of Chebyshev’s method |
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| Authors: | J.A. Ezquerro,M.A. Hern ndez |
| Affiliation: | aUniversity of La Rioja, Department of Mathematics and Computation, C/ Luis de Ulloa s/n, 26004 Logroño, Spain |
| Abstract: | From Chebyshev’s method, new third-order multipoint iterations are constructed with their efficiency close to that of Newton’s method and the same region of accessibility. |
| Keywords: | Nonlinear equations in Banach spaces Newton’s method Chebyshev’s method Multipoint iteration Semilocal convergence R-order of convergence Region of accessibility Attraction basin |
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