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An eigenvalue inequality and spectrum localization for complex matrices

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Publication:3497857
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DOI10.13001/1081-3810.1234zbMath1142.15305OpenAlexW2101092316MaRDI QIDQ3497857

Maria Adam, Michael J. Tsatsomeros

Publication date: 28 May 2008

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129135


zbMATH Keywords

Schur complementnumerical rangeinclusion regionsunitary equivalenceHermitian parteigenvalue inequality


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)


Related Items (8)

On the geometry of the envelope of a matrix ⋮ On the envelope of some classes of 3 by 3 matrices ⋮ The envelope of tridiagonal Toeplitz matrices and block-shift matrices ⋮ Does symmetry of the operator of a dynamical system help stability? ⋮ Shell extremal eigenvalues of tridiagonal Toeplitz Matrices ⋮ An envelope for the spectrum of a matrix ⋮ On the shell and the shell-extremal eigenvalues of a square matrix ⋮ Curves and envelopes that bound the spectrum of a matrix




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