On totally positive matrices and geometric incidences

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چکیده

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On totally positive matrices and geometric incidences

Article history: Received 3 September 2013 Available online xxxx

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Different approaches to the decomposition of a nonsingular totally positive matrix as a product of bidiagonal matrices are studied. Special attention is paid to the interpretation of the factorization in terms of the Neville elimination process of the matrix and in terms of corner cutting algorithms of Computer Aided Geometric Design. Conditions of uniqueness for the decomposition are also given.

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Immanants of Totally Positive Matrices Are Nonnegative

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2014

ISSN: 0097-3165

DOI: 10.1016/j.jcta.2014.08.004