On Generalized Hilbert Matrices

Ruiming Zhang

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arXiv · 0903.4958

On Generalized Hilbert Matrices

Ruiming Zhang

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Abstract

In this note, we present a systematic method to explicitly compute the determinants and inverses for some generalized Hilbert matrices associated with orthogonal systems with explicit representations. We expressed the determinant, the inverse and a lower bound for the smallest eigenvalue of such matrix in terms of the explicit orthogonal system.

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Ruiming Zhang. 2009-06-12. On Generalized Hilbert Matrices. https://arxiv.org/abs/0903.4958

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