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单词 Vertex Enumeration
释义

Vertex Enumeration

A Convex Polyhedron is defined as the set of solutions to a system of linear inequalities


where is a Real Matrix and is a Real-Vector. Given and , vertex enumeration is the determination of the polyhedron'sVertices.

See also Convex Polyhedron, Polyhedron


References

Avis, D. and Fukuda, K. ``A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra.'' In Proceedings of the 7th ACM Symposium on Computational Geometry, North Conway, NH, 1991, pp. 98-104, 1991.

Fukada, K. and Mizukosh, I. ``Vertex Enumeration Package for Convex Polytopes and Arrangements, Version 0.41 Beta.''http://www.mathsource.com/cgi-bin/MathSource/Applications/Mathematics/0202-633.


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