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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.10 No.1

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ON LINEAR PERTURBATIONS ANDABSOLUTE ROOT BOUND FUNCTIONAL

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Park, Young-Kou
Kim,, J. , & Park,, Y. (2003). ON LINEAR PERTURBATIONS ANDABSOLUTE ROOT BOUND FUNCTIONAL. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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
perturbed of polynomials, perturbed roots

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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