A theorem of Mirsky provides necessary and sufficient conditions for the existence of an N-square complex matrix with prescribed diagonal entries and prescribed eigenvalues. A simple inductive proof of this theorem is given.
|Original language||English (US)|
|Number of pages||4|
|Journal||Electronic Journal of Linear Algebra|
|State||Published - 2009|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Prescribed diagonals