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Original Articles

Construction of iterative processes with high order of convergence

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Pages 191-201 | Received 19 Mar 1997, Published online: 30 Mar 2007

References

  • Ehrmann , H. 1959 . Kronstrucktion und durchführung von iterationsverfahren höherer ordnug . Arch. Rational Mech. Anal. , 4 : 65 – 88 .
  • Hernández , M. A. 1992 . Newton-Raphson's Method and Convexity . Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. , 22 ( 1 ) : 159 – 166 .
  • Householder , A. S. 1970 . The Numerical Treatment of a Single Nonlinear Equation , New York : McGraw-Hill .
  • Pomentale , T. 1971 . A Class of Iterative Methods for Holomorfic Functions . Numer. Math. , 28 : 193 – 203 .
  • Traub , J. F. 1964 . Iterative Methods for the Solution of Equations , Englewood Cliffs : Prentice Hall .
  • Wener , W. 1980 . “ Some Improvements of Classical Iterative Methods for the Solutions of Nonlinear Equations ” . In Lectures Notes in Mathematics , Edited by: Allgower , E. L. , Glashoff , K. and Peitgen , H.-O. 427 – 440 . Bremen : Springer-Verlag .

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