Improved error bounds for a Chebysheff-Halley-type method

Acta Mathematica Hungarica

Volumn 84, Issue 3, 1999, Pages 209-219

  Argyros, I K ^a  

^a CAMERON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040710416     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006633119417     Document Type: Article

References (12)

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3. I. K. Argyros, On the convergence of a Chebysheff-Halley-type method under Newton-Kantorovich hypotheses, Appl. Math. Letters, 6 (1993), 71-74.
4. I. K. Argyros, On the convergence of an Euler-Chebysheff-type method under Newton-Kantorovich hypotheses, Pure Mathematics and Applications, 4 (1993), 369-373.
5. I. K. Argyros and F. Szidarovszky, The theory and applications of iteration methods, C.R.C. Press, Inc. (Boca Raton, Florida, U.S.A., 1993).
6. E. Catinas, On some iterative methods for solving nonlinear equations, Revue d'analyse numerique et de theorie de l'approximation, 23 (1994), 47-53.
7. M. A. Mertvecova, An analog of the process of tangent hyperbolas for general functional equations (Russian), Dokl. Akad. Nauk. SSSR, 88 (1953), 611-614.
8. M. T. Necepurenko, On Chebysheff's method for functional equations (Russian), Uspehi Mat. Nauk SSSR, 9 (1954), 163-170.
9. I. Pavaloiu, Sur une generalisation de la methode de Steffensen, Revue d'analyse numerique et de theorie de l'approximation, 21 (1992), 59-65.
10. F. A. Potra, On an iterative algorithm of order 1.839 . . . for solving nonlinear operator equations, Numer. Funct. Anal. and Optimiz., 7 (1984-1985), 75-106.
11. S. Ul'm, Iteration methods with divided differences of the second order (Russian), Dokl. Akad. Nauk SSSR, 158 (1964), 55-58; Soviet Math. Dokl., 5 1187-1190.
12. S. Ul'm, Iteration methods with divided differences of the second order (Russian), Dokl. Akad. Nauk SSSR, 158 (1964), 55-58; Soviet Math. Dokl., 5 1187-1190.