Short proofs of theorems of Mirsky and Horn on diagonals and eigenvalues of matrices
classification
🧮 math.FA
math.OAquant-ph
keywords
eigenvaluesmirskyprescribedtheoremcomplexconditionsdiagonaldiagonals
read the original 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. We give a simple inductive proof of this theorem.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.