Ovals of Cassini for Toeplitz matrices

DOI10.1080/03081087.2011.580280zbMath1244.15012OpenAlexW2078091958MaRDI QIDQ2879647

Aaron Melman

Publication date: 29 March 2012

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.580280

zbMATH Keywords

Toeplitz matricesCassini ovalband matricesBrauer inclusion setconstant main diagonalGershgorin inclusion setinclusion set for eigenvalues

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (4)

Cauchy-like and Pellet-like results for polynomials ⋮ New nonsingularity conditions for general matrices and the associated eigenvalue inclusion sets ⋮ New regions including eigenvalues of Toeplitz matrices ⋮ An eigenvalue inclusion set for matrices with a constant main diagonal entry

Cites Work

• Limits for the characteristic roots of a matrix. II
• A Recurring Theorem on Determinants

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