On Generalized Hilbert Matrices

Details On Generalized Hilbert Matrices On Generalized Hilbert Matrices

2009-03-30

arxiv.org/abs/0903.4958v5

Mathematics

Classical Analysis and ODEs

15 pages

Scientific paper

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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