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A Theorem on Clusters of Roots of Polynomial Equations

✍ Scribed by Ostrowski, A. M.


Book ID
118181777
Publisher
Society for Industrial and Applied Mathematics
Year
1970
Tongue
English
Weight
244 KB
Volume
7
Category
Article
ISSN
0036-1429

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Regions of polynomial root clustering
✍ T.A. Bickart; E.I. Jury πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 672 KB

A criterion for root exclusion from a region composed as a union of elemental regions-discs and halfplanes-is established. Associated with each elemental region is a derived polynomial which must be by the criterion a strictly Hurwitz polynomial. The criterion is the basis for a root exclusion test,