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Original Articles

Forward-backward serial iteration methods for simultaneously approximating polynomial zeros

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Pages 227-238 | Received 29 Mar 1990, Published online: 19 Mar 2007

References

  • Alefeld , G. and Herzberger , J. 1974 . On the convergence speed of some algorithms for the simultaneous approximation of polynomial zeros . SIAM J. Numer. Anal , 11 : 237 – 243 .
  • Craig , I.J.D. and Sneyd , A.D. 1989 . The acceleration of matrix power methods by cyclic variations of the shift parameter . Comput. Math. Appl , 7 : 1149 – 1159 .
  • Milovanović , G.V. and Petković , M.S. 1983 . On the convergence order of a modified method for simultaneous finding polynomial zeros . Computing , 30 : 171 – 178 .
  • Petković , M.S. 1989 . On the Halley-like algorithms for the simultaneous approximations of polynomial complex zeros . SIAM J. Numer. Anal , 26 : 740 – 763 .
  • Petković , M.S. 1989 . Iterative Methods for Simultaneous Inc.lusion of Polynomial Zeros , Berlin : Springer-Verlag .
  • Petković , M.S. and Stefanović , L.V. 1988 . On some parallel higher-order methods of Halley's type for finding multiple polynomial zeros . Proceedings of Conference on Numerical Methods and Approximation Theory . 1988 . Edited by: Milovanović , G.V. pp. 329 – 337 . Niš
  • Varga , R.S. 1962 . Matrix Iterative Analysis , Englewood Cliffs, New Jersey : Prentice-Hall .

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