Monic divisors with canonical diagonal form \(\mathrm{diag}(1,\dots,1, \varphi(x),\dots,\varphi(x))\) of polynomial matrices over an infinite field. (Ukrainian. English summary) Zbl 1297.15016
Summary: Necessary and sufficient conditions existences of monic divisors with canonial diagonal form \(\mathrm{diag}(1,\dots,1,\varphi(x),\dots,\varphi(x))\) of polynomial matrices over an infinite field are established.
MSC:
| 15A23 | Factorization of matrices |
| 15A21 | Canonical forms, reductions, classification |
| 15A54 | Matrices over function rings in one or more variables |
