Some Methods for Simultaneous Extraction of a Part of All Multiple Roots of Algebraic Polynomials

  • Authors:

  • A. Iliev;N. Kyurkchiev

  • Affiliations:

  • Faculty of Mathematics and Informatics, University of Plovdiv, 24, Tsar Assen Str., 4000, Plovdiv, Bulgaria;Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113, Sofia, Bulgaria

  • Venue:
  • Computing - Editorial: Special issue on GAMM – Workshop on Guaranteed Error-bounds for the Solution of Nonlinear Problems in Applied Mathematics
  • Year:
  • 2005

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Abstract

In this paper, the new methods being generalizations of Weierstrass-Dochev method have been demonstrated. These methods possess quadratic convergence if the multiplicities of the roots, which we seek, are known and they can be used for simultaneous determination of all roots or only part of all roots.