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Original Articles

On the convergence and optimal error estimates of king's iteration procedures for solving nonlinear equations

Pages 229-237 | Received 01 Apr 1986, Published online: 19 Mar 2007

References

  • Ostrowski , A. M. 1960 . Solution of Equations and Systems of Equations , New York : Academic Press .
  • Traub , J. F. 1964 . Iterative Methods for the Solution of Equations , Englewood Cliffs, N.J : Prentice-Hall .
  • King , R. F. 1973 . A Family of Fourth-Order Methods for Nonlinear Equations . SIAM J. Numer. Anal. , 10 : 876 – 879 .
  • Xing-hua , Wang . 1982 . On the Convergence of King-Werner's Iteration Procedures for Solving Nonlinear Equations . Mathematicae Numericae Sinica , 4 ( No. 1 ) : 70 – 79 .
  • Xing-hua , Wang . 1979 . On the Error Estimates for Some Numerical Root-Finding Methods . Acta mathematica Sinica , 22 ( No. 5 ) : 638 – 642 .

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