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arXiv · 2303.12852

The converse of the Cowling--Obrechkoff--Thron theorem

Devon N. Munger·Pietro Paparella
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Abstract

In this work, the converse of the Cowling--Obrechkoff--Thron theorem is established. In addition to its theoretical interest, the result fills a gap in the proof of Kellogg's celebrated eigenvalue inequality for matrices whose principal minors are positive or nonnegative.

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BibTeXRIS

Devon N. Munger, Pietro Paparella. 2023-07-26. The converse of the Cowling--Obrechkoff--Thron theorem. https://doi.org/10.2140/involve.2025.18.473

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