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A simplex algorithm for rational cp-factorization

Published in arXiv (Cornell University) • Jul 3, 2018
NobleIDNI0P62W97R52S25
Authors:
Mathieu Dutour Sikirić
,
Achill Schürmann
,
Frank Vallentin

Abstract

In this paper we provide an algorithm, similar to the simplex algorithm, which determines a rational cp-factorization of a given matrix, whenever the matrix allows such a factorization. This algorithm can be used to show that every integral completely positive $2 \times 2$ matrix has an integral cp-...

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