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Modified Gershgorin Disks for Companion Matrices

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Publication:2902839
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DOI10.1137/100797667zbMath1253.15029OpenAlexW2081510523MaRDI QIDQ2902839

Aaron Melman

Publication date: 22 August 2012

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100797667


zbMATH Keywords

companion matrixroots of polynomialsOvals of CassiniGershgorin Disks


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Numerical computation of roots of polynomial equations (65H04)


Related Items (7)

Bounds on polynomial roots using intercyclic companion matrices ⋮ The Coefficients of the FOM and GMRES Residual Polynomials ⋮ Inclusion disks for polynomial zeros in generalized bases ⋮ New bounds for roots of polynomials based on Fiedler companion matrices ⋮ New regions including eigenvalues of Toeplitz matrices ⋮ Non-sparse Companion Matrices ⋮ An eigenvalue inclusion set for matrices with a constant main diagonal entry


Uses Software

  • Matlab



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