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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 318))

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Abstract

Computational experience has shown that the efficiency of variable dimension restart algorithms on Sn and on \(S\, = \,\prod\nolimits_{j\, = \,1}^N S ^{n_j }\) depends heavily on the underlying subdivision or triangulation of these sets. A well known triangulation of Sn is the Q-triangulation. Other triangulations of Sn include the iterated barycentric triangulation and a triangulation which is closely related to the Union Jack triangulation of Rn (see Todd [1976b]).

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© 1988 Springer-Verlag Berlin Heidelberg

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Doup, T.M. (1988). Triangulations of Sn and S. In: Simplicial Algorithms on the Simplotope. Lecture Notes in Economics and Mathematical Systems, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46651-9_3

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  • DOI: https://doi.org/10.1007/978-3-642-46651-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50233-3

  • Online ISBN: 978-3-642-46651-9

  • eBook Packages: Springer Book Archive

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