Poncelet's porism in the finite real plane
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Publication:5323194
DOI10.1080/03081080802704245zbMath1183.15019OpenAlexW1998379706MaRDI QIDQ5323194
Publication date: 23 July 2009
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080802704245
numerical rangeBlaschke productPoncelet's polygonsSteiner's problemMalyshev's theoremPoncelet's curve
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Convex sets in (2) dimensions (including convex curves) (52A10)
Related Items
Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ Explicit solutions to Poncelet's porism ⋮ Short cycles of Poncelet's conics
Cites Work
- Numerical ranges and Poncelet curves
- Numerical range circumscribed by two polygons
- UB-matrices and conditions for Poncelet polygon to be closed
- Condition for the numerical range to contain an elliptic disc
- A characterization of complex plane Poncelet curves
- Polygons and Numerical Ranges
- Poncelet problem for rational conics
- c-convex matrices: characterizations, inclusion relations and normality
- Numerical range ofs(φ)
- Lucas' theorem refined∗
- Three Problems in Search of a Measure
- Complex Formulation of Poncelet Property in Numerical Range
- Numerical Range of a Normal Compression
- Sufficient Conditions for Poncelet Polygons Not to Close
- Geometry. I, II. Transl. from the French by M. Cole and S. Levy
- Numerical ranges, Poncelet curves, invariant measures
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