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Section B

The improved Farmer–Loizou method for finding polynomial zeros

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Pages 499-509 | Received 20 Dec 2010, Accepted 10 Nov 2011, Published online: 09 Dec 2011

References

  • Farmer , M. R. and Loizou , G. 1975 . A class of iteration functions for improving, simultaneously, approximations to the zeros of a polynomial . BIT , 15 : 250 – 258 .
  • Petković , M. S. 2008 . “ Point Estimation of Root Finding Methods ” . Berlin : Springer .
  • Petković , M. S. and Stefanović , L. 1986 . On some improvements of square root iteration for polynomial complex zeros . J. Comput. Appl. Math , 15 : 13 – 25 .
  • Petković , M. S. , Rančić , L. , Petković , L. D. and Ilić , S. 2009 . Chebyshev-like root finding methods with accelerated convergence . Numer. Linear Algebra Appl , 16 : 971 – 994 .
  • Smale , S. 1986 . “ Newton's method estimates from data at one point ” . In The Merging Disciplines: New Directions in Pure, Applied and Computational Mathematics , Edited by: Ewing , R. E. , Gross , K. I. and Martin , C. F. 185 – 196 . New York : Springer .
  • Wang , D. and Wu , Y. 1987 . Some modifications of the parallel Halley iteration method and their convergence . Computing , 38 : 75 – 87 .

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