Flat portions on the boundary of the numerical ranges of certain Toeplitz matrices
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Publication:5443480
DOI10.1080/03081080701217745zbMath1136.15019OpenAlexW1966536126MaRDI QIDQ5443480
Mao-Ting Chien, Hiroshi Nakazato
Publication date: 21 February 2008
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080701217745
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (13)
Normal matrices subordinate to a tree and flat portions of the field of values ⋮ The \(q\)-numerical radius of weighted shift operators with periodic weights ⋮ Strict convexity of the joint \(c\)-numerical range ⋮ Determinantal representations of closed orbits ⋮ On the shell and the shell-extremal eigenvalues of a square matrix ⋮ Singular points of cyclic weighted shift matrices ⋮ Numerical ranges of nilpotent operators ⋮ Path-Following Method to Determine the Field of Values of a Matrix with High Accuracy ⋮ Signatures of quantum phase transitions from the boundary of the numerical range ⋮ Flat portions on the boundary of the Davis-Wielandt shell of 3-by-3 matrices ⋮ Singular points of the algebraic curves of symmetric hyperbolic forms ⋮ On the numerical ranges of some tridiagonal matrices ⋮ Numerical range of a nilpotent matrix and related central force
Cites Work
- Boundary generating curves of the \(c\)-numerical range
- 3 x 3 matrices with a flat portion on the boundary of the numerical range
- Companion matrices: Reducibility, numerical ranges and similarity to contractions
- On flat portions on the boundary of the numerical range
- On matrices whose numerical ranges have circular or weak circular symmetry
- The envelope of the generalized numerical range∗
- Über den Wertevorrat einer Matrix
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