Geodesic
Cauchy-type inclusion and exclusion regions for polynomial zeros
The Teaching of Mathematics, XVII (2014) no. 1, p. 39

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A classical result by Cauchy defines a disk containg all the zeros of a polynomial. We derive several related results by using similarity transformations of a polynomial's companion matrix, together with Gershgorin's theorem. We thus show that Cauchy's original result can be seen as but one member of a family of related results.
Classification : 1MSC97H30 12D10 15A18 2MathEducH35
Keywords: Cauchy, Gershgorin, zero location, root location, polynomial. 
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     title = {Cauchy-type inclusion and exclusion regions for polynomial zeros},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2014_XVII_1_a3/}
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Aaron Melman. Cauchy-type inclusion and exclusion regions for polynomial zeros. The Teaching of Mathematics, XVII (2014) no. 1, p. 39 . http://geodesic.mathdoc.fr/item/TM2_2014_XVII_1_a3/