caa a22 4500 475740637 CHVBK 20180406123458.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1026659205382 doi (NATIONALLICENCE)springer-10.1023/A:1026659205382 On the Simultaneous Triangulability of Matrices [Elektronische Daten] [Yu. Al'pin, N. Koreshkov] 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 the nilpotence of a finite-dimensional nilalgebra. Plenum Publishing Corporation, 2000 simultaneous triangulability nationallicence nilpotent Lie algebra nationallicence solvable Lie algebra nationallicence Wedderburn theorem nationallicence Al'pin Yu Kazan State University, Russia aut Koreshkov N. Kazan State University, Russia aut Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 552-555 0001-4346 68:5-6<552 2000 68 11006 https://doi.org/10.1023/A:1026659205382 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026659205382 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Al'pin Yu Kazan State University, Russia aut NATIONALLICENCE 700 1- Koreshkov N. Kazan State University, Russia aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 552-555 0001-4346 68:5-6<552 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer