Computations on Some Hankel Matrices
Ruiming Zhang
TL;DR
This paper investigates specific Hankel matrices by deriving their determinants, inverses, and lower bounds for their smallest eigenvalues, contributing to the understanding of their spectral properties.
Contribution
It provides new explicit formulas and bounds for determinants, inverses, and eigenvalues of certain Hankel matrices, advancing theoretical knowledge in matrix analysis.
Findings
Explicit determinant formulas derived
Inverse matrices explicitly computed
Lower bounds for smallest eigenvalues established
Abstract
In this note, we present the determinant, the inverse and a lower bound for the smallest eigenvalue for some Hankel matrices
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Mathematical Theories and Applications · Graph theory and applications