Characteristic parameter sets and limits of circulant Hermitian polygon transformations

DOI10.1016/j.laa.2010.04.022zbMath1193.51019OpenAlexW2031278496MaRDI QIDQ984860

Joachim Wipper, Dimitris P. Vartziotis

Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.022

zbMATH Keywords

Hermitian matrixcirculant matrixNapoleon's theoremPetr-Douglas-Neumann theoremeigenpolygonlimit polygonpolygon transformation

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Symmetry properties of polytopes (52B15)

Related Items (5)

Fast smoothing of mixed volume meshes based on the effective geometric element transformation method ⋮ Iterative geometric triangle transformations ⋮ A dual element based geometric element transformation method for all-hexahedral mesh smoothing ⋮ Asymptotic behavior of the shape of planar polygons by linear flows ⋮ Unnamed Item

Cites Work

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• The geometric element transformation method for tetrahedral mesh smoothing
• A circulant formulation of the Napoleon-Douglas-Neumann theorem
• Mesh smoothing using the Geometric Element Transformation Method
• Cyclic transformations of n-gons and related quadratic forms
• Regularization of polygons
• Markov chains and dynamic geometry of polygons
• On the theorem of Napoleon and related topics
• Further Remarks on Concentric Polygons

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