Perturbation theory for Hermitian matrix-functions based on vector-fields
Functional Analysis
2019-09-27 v2
Abstract
We consider "spectral" matrix-functions for Hermitian matrices, where the novelty is that the function applied to the spectrum is allowed to be a vector-field rather than a scalar function (a.k.a isotropic matrix functions). We prove first order approximation formulas, generalizing the classical Daleskii-Krein theorem, as well as Lipschitz estimates.
Cite
@article{arxiv.1811.08358,
title = {Perturbation theory for Hermitian matrix-functions based on vector-fields},
author = {Marcus Carlsson},
journal= {arXiv preprint arXiv:1811.08358},
year = {2019}
}