A simplex algorithm for rational cp-factorization

Author:

Dutour Sikirić Mathieu,Schürmann Achill,Vallentin FrankORCID

Abstract

AbstractIn 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 has an integral cp-factorization.

Funder

Deutsche Forschungsgemeinschaft

H2020 European Research Council

Division of Mathematical Sciences

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Completely positive factorization by a Riemannian smoothing method;Computational Optimization and Applications;2022-10-09

2. Bounding the separable rank via polynomial optimization;Linear Algebra and its Applications;2022-09

3. An Analytic Center Cutting Plane Method to Determine Complete Positivity of a Matrix;INFORMS Journal on Computing;2021-11-02

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