ON LINEAR PERTURBATIONS ANDABSOLUTE ROOT BOUND FUNCTIONAL
Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2003, v.10 no.1, pp.37-47
Kim, Jin-Hwan
Park, Young-Kou
Kim,,
J.
, &
Park,,
Y.
(2003). ON LINEAR PERTURBATIONS ANDABSOLUTE ROOT BOUND FUNCTIONAL. , 10(1), 37-47.
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
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perturbed of polynomials,
perturbed roots