Geodesic
Cauchy-type inclusion and exclusion regions for polynomial zeros
The Teaching of Mathematics, XVII (2014) no. 1, p. 39 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {Aaron Melman},
     title = {Cauchy-type inclusion and exclusion regions for polynomial zeros},
     journal = {The Teaching of Mathematics},
     pages = {39 },
     year = {2014},
     volume = {XVII},
     number = {1},
     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/