# 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*, 82-86.