Xu, Yunge; Chen, Yuan Nonderotary matrices. (Chinese. English summary) Zbl 1413.15060 Math. Pract. Theory 48, No. 5, 241-247 (2018). Summary: Nonderotary matrices are a class of important matrices. In this note, we characterize Nonderotary matrices in the aspect of canonical forms under similarity, centralizers and dimensions of similarity classes, and show that \(A\) is Nonderotary if and only if all matrices commutating with \(A\) can be written as some polynomial of \(A\), and if and only if the dimension of the similarity class of \(A\) takes the maximal value. MSC: 15B99 Special matrices 15A27 Commutativity of matrices 15A21 Canonical forms, reductions, classification Keywords:centralizer; similarity class; canonical forms PDFBibTeX XMLCite \textit{Y. Xu} and \textit{Y. Chen}, Math. Pract. Theory 48, No. 5, 241--247 (2018; Zbl 1413.15060)