- Record: found
- Abstract: found
- Article: found
Kellogg's eigenvalue inequality for \(P\) and \(P_0\) matrices
Preprint
22 March 2023
Read this article at
There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.
Abstract
In this work, the converse of the Cowling-Thron-Obrechkoff theorem is established. In addition to its obvious 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.