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

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.