Short proofs of theorems of Mirsky and Horn on diagonals and eigenvalues of matrices

Details Short proofs of theorems of Mirsky and Horn on diagonals and eigenvalues of matrices Short proofs of theorems of Mirsky and Horn on diagonals and eigenvalues of matrices

2009-04-04

arxiv.org/abs/0904.0734v3

Electronic Journal of Linear Algebra, vol. 18, 438-441 (2009)

Mathematics

Functional Analysis

This is the final version of the paper as published in EJLA

Scientific paper

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.

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