On the Simultaneous Triangulability of Matrices

  title={On the Simultaneous Triangulability of Matrices},
  author={Yu. A. Al’pin and N. A. Koreshkov},
  journal={Mathematical Notes},
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
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