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Abstract: We consider a family of pairs of m-by-p and m-by-q matrices, in which someentries are required to be zero and the others are arbitrary, with respect totransformations A,B-> SAR,SBL with nonsingular S, R, L. We prove thatalmost all of these pairs reduce to the same pair C, D from this family,except for pairs whose arbitrary entries are zeros of a certain polynomial. Thepolynomial and the pair C D are constructed by a combinatorial method basedon properties of a certain graph.



Autor: Tatyana N. Gaiduk, Vladimir V. Sergeichuk

Fuente: https://arxiv.org/







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