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arXiv · 1411.5149

Completely positive tensor decomposition

Jinyan Fan·Anwa Zhou
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Abstract

A symmetric tensor, which has a symmetric nonnegative decomposition, is called a completely positive tensor. We consider the completely positive tensor decomposition problem. A semidefinite algorithm is presented for checking whether a symmetric tensor is completely positive. If it is not completely positive, a certificate for it can be obtained; if it is completely positive, a nonnegative decomposition can be obtained.

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Jinyan Fan, Anwa Zhou. 2014-11-19. Completely positive tensor decomposition. https://arxiv.org/abs/1411.5149

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