Decomposably non-negative matrices

Let A be an mn- by - mn symmetric matrix. Partition A into m 2 n - by - n blocks and suppose that each of these blocks is also symmetric. Suppose that for every decomposable (rank one) tensor ν ⊗ w, we have (ν ⊗ w) t A(ν otimes; w) ≥ 0. Here, ν is a column m-tuple and w is a column n-tuple. We study...

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Veröffentlicht in:	Linear & multilinear algebra 1996-07, Vol.41 (1), p.63-79
Hauptverfasser:	Grone, Robert, Pierce, Stephen
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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