On majorization for polynomials sharing a common interlacer
Classical Analysis and ODEs
2023-07-25 v2
Abstract
We give necessary and sufficient conditions for majorization of realrooted polynomials sharing a common interlacer by means of residues coming from fraction decomposition. We also introduce a motivated notion called strong majorization, and we show how it relates to standard majorization.
Cite
@article{arxiv.2212.13935,
title = {On majorization for polynomials sharing a common interlacer},
author = {Aurelien Gribinski},
journal= {arXiv preprint arXiv:2212.13935},
year = {2023}
}