Zero-dilation Index of S_n-matrix and Companion Matrix

DOI10.13001/1081-3810.3193zbMath1365.15030OpenAlexW2532778407MaRDI QIDQ2834761

Hwa-Long Gau, Pei Yuan Wu

Publication date: 24 November 2016

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

Full work available at URL: https://doi.org/10.13001/1081-3810.3193

zbMATH Keywords

numerical rangespectral radiuscompanion matrixrankspectral normzero-dilation index\(S_n\)-matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Dilations, extensions, compressions of linear operators (47A20)

Related Items

Numerical ranges of row stochastic matrices

Cites Work

• Zero-dilation indices of KMS matrices
• Higher-rank numerical ranges and compression problems
• Companion matrices: Reducibility, numerical ranges and similarity to contractions
• Zero-dilation index of a finite matrix
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• The Numerical Radius of a Nilpotent Operator on a Hilbert Space
• Numerical range ofs(φ)
• Lucas' theorem refined^∗
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