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On the number of invariant factors of matrix products
Sá, E. Marques de; Zhang, Yu LinWe prove an inequality relating the number of nontrivial invariant factors of n × n matrices A and B, with those of AB, and get some results on the cases of equality. In particular, we characterize the similarity classes, and , with all eigenvalues in the base field, such that AB is nilpotent for some and . ; http://www.sciencedirect.com/science/article/B6V0R-4F29J0H-6/1/e03b2d17dbee9bd012faadaa2f58683d
Ranks of submatrices and the off-diagonal indices of a square matrix
Marques de Sá, E.; Zhang, Yu-Linhttp://www.sciencedirect.com/science/article/B6V0R-42H90RK-1/1/77a65ead267ba5ef426676170995bae3
The number of Kronecker indices of square pencils of a special kind
Marques de Sá, E.; Zhang, Yu-Linhttp://www.sciencedirect.com/science/article/B6V0R-42H90RK-2/1/c3fc79013227c4c0f2b654d351558cc9
On the number of invariant polynomials of the product of matrices with prescrib...
Zhang, Yu LinWe study the possibilities for the number of nontrivial invariant polynomials of the product of two nonsingular matrices, with prescribed similarity classes, over an algebraically closed field. ; http://www.sciencedirect.com/science/article/B6V0R-3TKS76P-20/1/bc3af1e451ec3fe18a7b16fbd3b418ef
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