Infimum of a matrix norm of A induced by an absolute vector norm
Functional Analysis
2021-05-04 v2
Abstract
We characterize the infimum of a matrix norm of a square matrix A induced by an absolute norm, over the fields of real and complex numbers. Usually this infimum is greater than the spectral radius of A. If A is sign equivalent to a nonnegative matrix B then this infimum is the spectral radius of B.
Cite
@article{arxiv.2104.00072,
title = {Infimum of a matrix norm of A induced by an absolute vector norm},
author = {Shmuel Friedland},
journal= {arXiv preprint arXiv:2104.00072},
year = {2021}
}
Comments
7 pages, small corrections of previous version