Positive Hankel Matrices, Eigenvalues and Total Positivity
Juan Manuel Peña · Mathematics · 2025
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.