Differentiable roots, eigenvalues, and eigenvectors
Classical Analysis and ODEs
2014-11-04 v2
Abstract
We determine the conditions for the existence of -roots of curves of monic complex polynomials as well as for the existence of -eigenvalues and -eigenvectors of curves of normal complex matrices.
Keywords
Cite
@article{arxiv.1211.4124,
title = {Differentiable roots, eigenvalues, and eigenvectors},
author = {Armin Rainer},
journal= {arXiv preprint arXiv:1211.4124},
year = {2014}
}
Comments
18 pages, some typos corrected, accepted for publication in Israel J. Math