Positive Linear Maps and Perturbation bounds of Matrices
Functional Analysis
2015-09-21 v1
Abstract
We show how positive unital linear maps can be used to obtain lower bounds for the maximum distance between the eigenvalues of two normal matrices. Some related bounds for the spread and condition number of Hermitian matrices are also discussed here.
Keywords
Cite
@article{arxiv.1509.05674,
title = {Positive Linear Maps and Perturbation bounds of Matrices},
author = {R. Sharma and R. Kumari},
journal= {arXiv preprint arXiv:1509.05674},
year = {2015}
}