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Article . 2025
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Positive Hankel Matrices, Eigenvalues and Total Positivity

descriptionPublicationkeyboard_double_arrow_right Article 15 Jul 2025 Spain English Publisher:MDPI AGJournal:Mathematics, volume 13, page 2,278 (eissn: 2227-7390, Copyright policy )
Authors: Juan Manuel Peña;

doi: 10.3390/math13142278

Positive Hankel Matrices, Eigenvalues and Total Positivity

Abstract

For positive Hankel matrices, an interval containing all eigenvalues is obtained. With a stronger condition, we also construct two sharper intervals for the eigenvalue localization. The total positivity of positive Hankel matrices is analyzed. The relationship between Hankel TP matrices and some Toeplitz SR matrices is analyzed.

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Spain
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Keywords

Hankel matrices, QA1-939, eigenvalue localization, Mathematics, totally positive matrices

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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