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Coefficient-free adaptations of polynomial root-finders

✍ Scribed by V.Y. Pan

Book ID: 104007499
Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 393 KB
Volume: 50
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.05.019

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✦ Synopsis

We adapt two celebrated polynomial root-finders Performing one of them, we revolve only the scaled values of the input polynomial c(A) at the points approximating the roots and recurslvely updated Performing another root-finder, we also compute the values of the derivative cl(A) at these points In neither case do we use the coefficmnts of c(A). We also relate our algorithms to approximating the elgenvalues of a matrix.

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