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arXiv · 2212.13935

On majorization for polynomials sharing a common interlacer

Aurelien Gribinski
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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.

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Aurelien Gribinski. 2022-12-28. On majorization for polynomials sharing a common interlacer. https://arxiv.org/abs/2212.13935

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