Positive Hankel Matrices, Eigenvalues and Total Positivity

Juan Manuel Peña ()
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Juan Manuel Peña: Departmento de Matemática Aplicada/IUMA, Universidad de Zaragoza, 50009 Zaragoza, Spain

Mathematics, 2025, vol. 13, issue 14, 1-10

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.

Keywords: Hankel matrices; eigenvalue localization; totally positive matrices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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