ON LINEAR PERTURBATIONS AND ABSOLUTE ROOT BOUND FUNCTIONALS

  • Kim, Jin-Hwan (Department of Mathematics Education, Yeungnam University) ;
  • Park, Young-Kou (Department of Mathematics Education, Yeungnam University)
  • Published : 2003.02.01

Abstract

We will show that any linear perturbation of polynomials that introduces bounded perturbations into the roots of polynomial is some linear combination of the derivatives of a polynomial. And we will derive an absolute root bound functional which is in some sense better than the other known absolute root bound functionals.

Keywords