Abstract
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) |
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Pages (from-to) | 438-441 |
Number of pages | 4 |
Journal | Electronic Journal of Linear Algebra |
Volume | 18 |
DOIs | |
State | Published - 2009 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
Keywords
- Eigenvalues
- Majorization
- Prescribed diagonals