On the geometry of the envelope of a matrix

DOI10.1016/j.amc.2014.06.077zbMath1335.15025OpenAlexW2093018107MaRDI QIDQ278307

Panayiotis J. Psarrakos, Michael J. Tsatsomeros

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.077

zbMATH Keywords

numerical rangeenvelopeeigenvalue boundscubic curve

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (5)

On the envelope of some classes of 3 by 3 matrices ⋮ The envelope of tridiagonal Toeplitz matrices and block-shift matrices ⋮ Shell extremal eigenvalues of tridiagonal Toeplitz Matrices ⋮ On the shell and the shell-extremal eigenvalues of a square matrix ⋮ Curves and envelopes that bound the spectrum of a matrix

Cites Work

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• An envelope for the spectrum of a matrix
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• Higher Rank Numerical Ranges of Normal Matrices
• An eigenvalue inequality and spectrum localization for complex matrices
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• Condition for the higher rank numerical range to be non-empty
• Numerical Determination of the Field of Values of a General Complex Matrix
• The higher rank numerical range is convex
• Fields of Values of a Matrix

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