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http://hdl.handle.net/10773/15007| Title: | Linear spanning sets for matrix spaces |
| Author: | Micheli, G. Rosenthal, J. Vettori, P. |
| Keywords: | Matrices Linear span Cyclic matrices Finite fields |
| Issue Date: | 15-Oct-2015 |
| Publisher: | Elsevier |
| Abstract: | Necessary and sufficient conditions are given on matrices $A$, $B$ and $S$, having entries in some field $F$ and suitable dimensions, such that the linear span of the terms $A^iSB^j$ over $F$ is equal to the whole matrix space. This result is then used to determine the cardinality of subsets of $F[A]SF[B]$ when $F$ is a finite field. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/15007 |
| DOI: | 10.1016/j.laa.2015.06.008 |
| ISSN: | 0024-3795 |
| Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MichRoseVett15.pdf | Article Preprint | 217.04 kB | Adobe PDF | View/Open |
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