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https://hdl.handle.net/10316/4631| Title: | On the number of invariant factors of matrix products | Authors: | Sá, E. Marques de Zhang, Yu Lin |
Keywords: | Nilpotent matrices; Invariant factors; Similarity | Issue Date: | 2005 | Citation: | Linear Algebra and its Applications. 401:(2005) 393-399 | Abstract: | We 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 . | URI: | https://hdl.handle.net/10316/4631 | DOI: | 10.1016/j.laa.2004.10.029 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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|---|---|---|---|---|
| file1e596c7a9dd54e71a4aea63c037afe29.pdf | 189.91 kB | Adobe PDF | View/Open |
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