Cyclic transformations of n-gons and related quadratic forms

DOI10.1016/0024-3795(79)90006-5zbMath0408.15017OpenAlexW2044121962MaRDI QIDQ1258350

Philip J. Davis

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90006-5

zbMATH Keywords

Quadratic FormsCirculant MatrixHermitian MatrixNapoleon's Theorem

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63) Euclidean geometries (general) and generalizations (51M05)

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Characteristic parameter sets and limits of circulant Hermitian polygon transformations ⋮ Asymptotic behavior of the shape of planar polygons by linear flows ⋮ Limiting forms of iterated circular convolutions of planar polygons ⋮ From a random polygon in \(\mathbb R^m\) to an ellipse: a Fourier analysis of iterated circular convolutions ⋮ Proof of a Conjecture of 1881 on Permanents ⋮ A circulant formulation of the Napoleon-Douglas-Neumann theorem

Cites Work

• \(n\)-gons
• Discrete analogs of inequalities of Wirtinger
• Cyclic Transformations of Polygons and the Generalized Inverse
• On the Discrete Version of Wirtinger's Inequality
• The Finite Fourier Series and Elementary Geometry
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