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Original Articles

Improved convergence analysis for the Secant method based on a certain type of recurrence relations

Pages 629-637 | Received 27 May 2003, Published online: 12 May 2010

References

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  • Argyros I.K. New sufficient convergence conditions for the secant method Czechoslovak Mathematical Journal (to appear)
  • Hernandez , M.A. and Rubio , M.J. (1999) . A new type of recurrence relations for the secant method . Intern. J. Comput. Math. , 72 : 477 – 490 .
  • Potra , F.A. (1985) . Sharp error bounds for a class of Newton-like methods . Libertas Mathematica , 5 : 71 – 84 .
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  • Hernandez , M.A. and Rubio , M.J. (2002) . Semilocal convergence of the secant method under mild convergence conditions of differentiability . Comput. Math. Appl. , 44 : 277 – 285 .

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