ON LINEAR PERTURBATIONS ANDABSOLUTE ROOT BOUND FUNCTIONAL

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2003, v.10 no.1, pp.37-47

Kim, Jin-Hwan (Department of Mathematics Education, Yeungnam University)
Park, Young-Kou (Department of Mathematics Education, Yeungnam University)

Kim, Jin-Hwan, & Park, Young-Kou. (2003). ON LINEAR PERTURBATIONS AND ABSOLUTE ROOT BOUND FUNCTIONALS. 한국수학교육학회지시리즈B:순수및응용수학, 10(1), 37-47.

복사

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: perturbed of polynomials, perturbed roots

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논문 상세

Vol.10 No.1

ON LINEAR PERTURBATIONS AND ABSOLUTE ROOT BOUND FUNCTIONALS

ON LINEAR PERTURBATIONS ANDABSOLUTE ROOT BOUND FUNCTIONAL

Abstract

한국수학교육학회지시리즈B:순수및응용수학