@article{Alpin2000OnTS,
title={On the Simultaneous Triangulability of Matrices},
author={Yu. A. Al’pin and N. A. Koreshkov},
journal={Mathematical Notes},
year={2000},
volume={68},
pages={552-555}
}

Two necessary and sufficient criteria for the simultaneous triangulability of two complex matrices are established. Both of them admit a finite verification procedure. To prove the first criterion, classical theorems from Lie algebra theory are used, and known sufficient conditions of triangulability are also given a natural interpretation in terms of this theory. The other criterion is discussed in the framework of the associative algebras. Here the decisive fact is the Wedderburn theorem on… Expand