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Froissart doublets in Padé approximation in the case of polynomial noise

By Jacek Gilewicz and Yuri Kryakin


AbstractFirst, we study the relation between the zeros of random polynomials Rn+1 and the zeros and poles of their Padé approximants [n/n]Rn+1. Next, we consider the distribution of zeros and poles of Padé approximants to the geometric series perturbed by a random polynomial noise. We observe numerically interesting connections between two above problems. Some numerical observations on the Froissart doublets have been also made

Publisher: Elsevier Science B.V.
Year: 2003
DOI identifier: 10.1016/S0377-0427(02)00674-X
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