Studying Non-negative Factorizations with Tools from Linear Algebra over a Semiring

Yaroslav Nikolaevich Shitov · Communications in Algebra · 2015

We develop the technique useful for studying the problem of factoring nonnegative matrices. We illustrate our method, based on the tools from linear algebra over a semiring, by applying it to studying the problem of existence of a rank-three matrix with full nonnegative rank equal to n.

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