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Original Articles

On the convergence of a class of generalized steffensen's iterative procedures and error analysis

Pages 195-203 | Received 16 Feb 1989, Accepted 30 Mar 1989, Published online: 20 Mar 2007

References

  • Chen , K. Genralization of Steffensen's method for operator equations . Comment, Math. Univ. Carolinae , 5 47 – 77 .
  • Johnson , L. and Scholz , D. 1968 . On Steffensen's method . SIAM J. Numer. Anal. , 5 : 296 – 302 .
  • Koppel , H. 1966 . Convergence of the generalized method of Steffensen . Eesti NSV Tead. Akad. Toimetised Fuus—Mat. Tehn.—tead. Seer , 15 : 531 – 539 .
  • Kung , H. T. and Traub , J. F. 1974 . Optimal order of one-point and multipoint iteration . J. ACM , 21 ( 4 ) : 634 – 651 .
  • Ortega , M. and Rheinboldt , W. C. 1970 . Iterative Solutions of Nonlinear Equations in Several Variables , New York : Academic Press .
  • Steffensen , J. 1933 . Remarks on iteration . Skand. Aktuarietidskr. , 16 : 64 – 72 .

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