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arxiv: 1411.5149 · v1 · pith:RBOUKWY7new · submitted 2014-11-19 · 🧮 math.OC

Completely positive tensor decomposition

classification 🧮 math.OC
keywords completelypositivetensordecompositionsymmetricnonnegativeobtainedalgorithm
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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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