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

Authors

  • 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, 82-86.

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