Generalizations of Gershgorin disks and polynomial zeros-Reference-Cited by-同舟云学术

Generalizations of Gershgorin disks and polynomial zeros

Published:2010-03-10 Issue:7 Volume:138 Page:2349-2364
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Melman A.

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-07/S0002-9939-10-10294-9/S0002-9939-10-10294-9.pdf

Reference38 articles.

1. The numerical radius and bounds for zeros of a polynomial;Alpin, Yuri A.;Proc. Amer. Math. Soc.,2003

2. Congenial matrices;Barnett, Stephen;Linear Algebra Appl.,1981

3. Limits for the characteristic roots of a matrix. II;Brauer, Alfred;Duke Math. J.,1947

4. Improved initialization of the accelerated and robust QR-like polynomial root-finding;Bini, Dario A.;Electron. Trans. Numer. Anal.,2004

5. A note on a classical bound for the moduli of all zeros of a polynomial;Boese, F. G.;IEEE Trans. Automat. Control,1989

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