On applications of iteration algorithms and Skorobagatko's branching fractions to approximation of roots of polynomials in Banach algebras

  • M.I. Kopach Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • A.F. Obshta Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
  • B.A. Shuvar Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
Keywords: Banach algebra, polinomial roots, iterative algorithm, branched fraction
Published online: 2010-06-30

Abstract


Iteration algorithms for approximate factorization of some classes of polynomials with coefficients from a Banach algebra are investigated. These algorithms may be considered as methods of construction of analogues of V.Ya. Skorobagatko's branching fractions in Banach algebras.

How to Cite
(1)
Kopach M., Obshta A., Shuvar B. On Applications of Iteration Algorithms and Skorobagatko’s Branching Fractions to Approximation of Roots of Polynomials in Banach Algebras. Carpathian Math. Publ. 2010, 2 (1), 82-86.

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