Diagonals and numerical ranges of weighted shift matrices

DOI10.1016/j.laa.2012.08.007zbMath1261.15032OpenAlexW1992129747WikidataQ114152380 ScholiaQ114152380MaRDI QIDQ1932622

Kuo-Zhong Wang, Pei Yuan Wu

Publication date: 21 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.007

zbMATH Keywords

compressionnumerical rangesweighted shift matrixunitary equivalence

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Canonical forms, reductions, classification (15A21)

Related Items (7)

The Gau-Wu number for \(4 \times 4\) and select arrowhead matrices ⋮ Diagonals and numerical ranges of direct sums of matrices ⋮ On the Gau-Wu number for some classes of matrices ⋮ Unitary similarity of a weighted shift matrix to a symmetric matrix ⋮ Gau-Wu numbers of nonnegative matrices ⋮ Singularities of base polynomials and Gau-Wu numbers ⋮ Equality of higher-rank numerical ranges of matrices

Cites Work

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• Numerical ranges of weighted shifts
• Numerical ranges of weighted shift matrices with periodic weights
• On the boundary of numerical ranges of operators
• The numerical range of \(3 \times 3\) matrices
• The numerical range of a nonnegative matrix
• Numerical ranges of weighted shift matrices
• The numerical range of an operator
• Numerical ranges and compressions of S_n-matrices
• Numerical ranges of companion matrices: flat portions on the boundary
• Direct sums of irreducible operators

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