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Positive Hankel Matrices, Eigenvalues and Total Positivity

Juan Manuel Peña

2025EnglishHankel matriceseigenvaluestotal positivityToeplitz matricessign regularitylinear algebra

Abstract

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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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@article{264d3c44-0051-4693-b4a9-6121b458558e,
  title={Positive Hankel Matrices, Eigenvalues and Total Positivity},
  author={Juan Manuel Peña},
  year={2025},
  language={English}
}
TY  - JOUR
TI  - Positive Hankel Matrices, Eigenvalues and Total Positivity
AU  - Juan Manuel Peña
PY  - 2025
LA  - English
ER  -

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