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A simplex algorithm for rational cp-factorization

Published in Mathematical Programming • Jan 28, 2020
NobleIDNI4P00W45R81S07
Authors:
Mathieu Dutour Sikirić
,
Achill Schürmann
,
Frank Vallentin

Abstract

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 $$2 \times 2$$ 2 × 2 matrix ha...

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