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Original Articles

On the weierstrass and some petkovic-like methods for numerical determination of polynomial zeros

Pages 1505-1519 | Received 03 Jun 2003, Published online: 12 May 2010

References

  • Alefeld , G. and Herzberger , J. (1974) . On the convergence speed of some algorithms for the simultaneous approximation of polynomial roots . SIAM. J Numer. , 11 ( 2 ) : 237 – 243 .
  • Gargantini , I. (1976) . Comparing parallel Newton's methods with parallel Laguere's method . Comp. and Maths. with Appls. , 2 : 201 – 206 .
  • Gargantini , I. (1979) . The numerical stability of simultaneous iterations via square-rooting . Comp. and Math. with Appls. , 5 : 25 – 31 .
  • Gargantini , I. (1980) . Parallel square-root iterations for multiple roots . Comp. and Math. with Appls. , 6 : 279 – 288 .
  • Gargantini , I. and Henrici , P. (1972) . Circular arithmetic and determination of polynomial zeros . Numer. Math. , 18 : 305 – 320 .
  • Henrici P. Applied and Computational Complex Analysis I John Wiley and Sons Inc. New York (1974)
  • Ikhile , M. N. O. (2001) . An iterative method for simultaneous inclusion of polynomial zeros . Journal of Nig. Ass. Math. Physics. , 5 : 19 – 36 .
  • Ikhile , M. N. O. (2002) . On the convergence of some interval methods for simultaneous computation of polynomial zeros . Intern. J. Comput. Math. , 79 ( 10 ) : 1099 – 1111 .
  • Milovanovic G. A method to accelerate iterative processes in Banach space Publ. Elektrohn. Fak. Univ. Beograd. Ser. Mathematics (461–497) (1974) 67 71
  • Petkovic M. S. Some interval methods of the second order for the simultaneous approximation of polynomial roots Univ. Beograd. Publ. Elektrotehn Fak. Ser. Mat. Fiz. 634–677 (1979) 75 82
  • Petkovic M. S. Iterative methods for simultaneous inclusion of polynomial zeros Lecture Notes in Mathematics Springer-Verlag (1989)
  • Petkovic M. S. Schroder-like algorithms for multiple complex zeros of a polynomial Computing Springer-Verlag 45 (1990) 39 50
  • Petkovic , M. S. and Carstensen , C. (1993) . Some improved inclusion methods for polynomial roots with Weierstrass corrections . Computer Math. Applic. , 25 ( 3 ) : 59 – 67 .
  • Presic , M. (1980) . A convergence theorem for a method for simultaneous determination of all zeros of a polynomial . Publications De L’institut Mathematique, Nouvelle Serie , 28 ( 42 ) : 159 – 168 .
  • Uwamusi , S. E. and Otunta , F. O. (2002) . A hybrid method for guaranteed interval contractions for the simultaneous determination of zeros of polynomial equations . Arabian Journal for Science and Engineering , 27 ( 2A ) : 207 – 217 .

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