A circulant formulation of the Napoleon-Douglas-Neumann theorem

DOI10.1016/0024-3795(83)90207-0zbMath0529.51011OpenAlexW1980863349MaRDI QIDQ787485

Philip J. Davis, Geng-zhe Chang

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90207-0

zbMATH Keywords

polygoncirculant matricesisosceles triangles

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Euclidean analytic geometry (51N20)

Related Items (5)

Convolution filters for polygons and the Petr-Douglas-Neumann theorem ⋮ Characteristic parameter sets and limits of circulant Hermitian polygon transformations ⋮ How Bürgi computed the sines of all integer angles simultaneously in 1586 ⋮ 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

Cites Work

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• Cyclic transformations of n-gons and related quadratic forms
• Cyclic Transformations of Polygons and the Generalized Inverse
• A Remark on Polygons
• A Remark on Polygons
• Some Remarks on Polygons†

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