Inclusion disks for polynomial zeros in generalized bases
نویسندگان
چکیده
منابع مشابه
Generalizations of Gershgorin Disks and Polynomial Zeros
We derive inclusion regions for the eigenvalues of a general complex matrix that are generalizations of Gershgorin disks, along with nonsingularity conditions. We then apply these results to the location of zeros of polynomials.
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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. MathEduc Subject Classification: H35 MSC Subject Classification: 9...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2014
ISSN: 0024-3795
DOI: 10.1016/j.laa.2013.12.016