On Halley-type iterations with free second derivative

Journal of Computational and Applied Mathematics

Volumn 170, Issue 2-2, 2004, Pages 455-459

  Ezquerro, J A ^a   Hernandez M A ^a  

^a UNIVERSITY OF LA RIOJA   (Spain)

Author keywords

Multipoint iterations; Nonlinear equations in Banach spaces; Semilocal convergence theorem; The Halley method

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS;

APPLIED MATHEMATICS; THIRD ORDER ITERATIONS;

ITERATIVE METHODS;

MATHEMATICAL ANALYSIS;

EID: 3042673087     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.02.020     Document Type: Article

References (6)

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2. Argyros I.K. A note on the Halley method in Banach spaces Appl. Math. Comp. 58 1993 215-224
3. J.A. Ezquerro, J.M. Gutiérrez, M.A. Hernández, M.A. Salanova, in: L. Español, J.L. Varona, (Eds.), Halley's Method: Perhaps the Most Rediscovered Method in the World. Margarita mathematica, University of La Rioja, Logroño, 2001, pp. 205-220 (in Spanish).
4. Ezquerro J.A. Hernández M.A. A uniparametric Halley-type iteration with free second derivative Int. J. Pure Appl. Math. 6 1 2003 103-114
5. Hernández M.A. Salanova M.A. A modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method J. Comput. Appl. Math. 126 2000 131-143
6. Yamamoto T. A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions Numer. Math. 49 1986 203-220