Complex Formulation of Poncelet Property in Numerical Range
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Publication:4818359
DOI10.1080/0308108031000112598zbMath1057.15028OpenAlexW2016225646MaRDI QIDQ4818359
Hiroshi Nakazato, Mao-Ting Chien
Publication date: 28 September 2004
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/0308108031000112598
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Projective analytic geometry (51N15)
Related Items (5)
Poncelet's porism in the finite real plane ⋮ A new Poncelet curve for the boundary generating curve of a numerical range ⋮ Unitary similarity of the determinantal representation of unitary bordering matrices ⋮ A characterization of complex plane Poncelet curves ⋮ The diameter and width of numerical ranges
Cites Work
- The numerical range of \(3 \times 3\) matrices
- Boundary generating curves of the \(c\)-numerical range
- Geometry of the numerical range of matrices
- Point equation of the boundary of the numerical range of a matrix polynomial
- Numerical ranges and Poncelet curves
- Lacunas for hyperbolic differential operators with constant coefficients.I
- Polygons and Numerical Ranges
- Elliptical billiards and Poncelet’s theorem
- Elliptical billiards and hyperelliptic functions
- Numerical range ofs(φ)
- On the Field of Values of a Square Matrix
- The envelope of the generalized numerical range∗
- Über den Wertevorrat einer Matrix
- Numerical ranges, Poncelet curves, invariant measures
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