AN ACCELERATION PROCEDURE OF REGULA FALSI METHOD

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Published: Mar 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4336
Keywords:
Nonlinear equation Regula Falsi method Kantorovich assumptions iterative processes error bounds

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M. A. HERNANDEZ
Universidad de La Rioja, Dpto. de Matematicas y Computaci6n C/Luis de Ulloa s/n, 26004, Logrono, Spain.
M. A. SALANOVA
Universidad de La Rioja, Dpto. de Matematicas y Computaci6n C/Luis de Ulloa s/n, 26004, Logrono, Spain.

Abstract




From the Regula Falsi method a family of iterative processes is defined. A family of accelerations is obtained, by means of a geometric procedure. From this, a family of new iterative processes with, at least, quadratic convergence is derived. A study of their convergence and optimization is done in $\mathbb{R}$ and in the complex plane. All of them are better than Newton met hod .




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How to Cite
HERNANDEZ, M. A., & SALANOVA, M. A. (1997). AN ACCELERATION PROCEDURE OF REGULA FALSI METHOD. Tamkang Journal of Mathematics, 28(1), 67–77. https://doi.org/10.5556/j.tkjm.28.1997.4336
Issue
Vol. 28 No. 1 (1997)
Section
Papers
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References

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W. C. Rheinholdt, " A Unifed convergence theory for a Class of Iterative Process," SIAM J. Numer. Anal., 5(1968), 42-.63.