Cauchy-type Inclusion and Exclusion Regions for Polynomial Zeros
نویسندگان
چکیده
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. MathEduc Subject Classification: H35 MSC Subject Classification: 97H30, 12D10, 15A18
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تاریخ انتشار 2014