1. Normal matrices
- Author
-
Armentia, Gorka, Gracia, Juan-Miguel, and Velasco, Francisco-Enrique
- Subjects
Mathematics - Spectral Theory ,15A18, 15A60 - Abstract
Let $A$ be a square complex matrix and $z$ a complex number. The distance, with respect to the spectral norm, from $A$ to the set of matrices which have $z$ as an eigenvalue is less than or equal to the distance from $z$ to the spectrum of $A$. If these two distances are equal for a sufficiently large finite set of numbers $z$ which are not in the spectrum of $A$, then the matrix $A$ is normal., Comment: 7 pages, no figures
- Published
- 2021