On flat portions on the boundary of the numerical range
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Publication:1886527
DOI10.1016/j.laa.2004.04.009zbMath1059.15031OpenAlexW2077823173MaRDI QIDQ1886527
Ethan S. Brown, Ilya M. Spitkovskij
Publication date: 18 November 2004
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.009
Related Items (25)
Normal matrices subordinate to a tree and flat portions of the field of values ⋮ On the envelope of some classes of 3 by 3 matrices ⋮ Sets of matrices with given joint numerical range ⋮ Numerical ranges of companion matrices ⋮ Strict convexity of the joint \(c\)-numerical range ⋮ Pre-images of extreme points of the numerical range, and applications ⋮ Flat portions of the numerical range of a \(6 \times 6\) companion matrix ⋮ An envelope for the spectrum of a matrix ⋮ On numerical ranges of rank-two operators ⋮ On the Gau-Wu number for some classes of matrices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Kippenhahn curves and higher-rank numerical ranges of some matrices ⋮ Elliptical higher rank numerical range of some Toeplitz matrices ⋮ Flat portions on the boundary of the Davis-Wielandt shell of 3-by-3 matrices ⋮ When is the numerical range of a nilpotent matrix circular? ⋮ On the numerical ranges of some tridiagonal matrices ⋮ 3 x 3 matrices with a flat portion on the boundary of the numerical range ⋮ Line segments and elliptic arcs on the boundary of a numerical range ⋮ Flat portions on the boundary of the numerical ranges of certain Toeplitz matrices ⋮ Non-parallel Flat Portions on the Boundaries of Numerical Ranges of 4-by-4 Nilpotent Matrices ⋮ On some reciprocal matrices with elliptical components of their Kippenhahn curves ⋮ On some 4-by-4 matrices with bi-elliptical numerical ranges ⋮ Numerical ranges of companion matrices: flat portions on the boundary
Cites Work
- The numerical range of \(3 \times 3\) matrices
- On tridiagonalization of matrices
- Boundary generating curves of the \(c\)-numerical range
- Differential topology of numerical range
- Once more on algebras generated by two projections
- Unitary tridiagonalization in \(M(4,\mathbb{C})\)
- Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils
- The numerical range of a pair of projections
- Band-diagonal operators
- On Matrices with Elliptical Numerical Ranges
- Über den Wertevorrat einer Matrix
- Unnamed Item
- Unnamed Item
- Unnamed Item
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