On Generalized Hilbert Matrices
Classical Analysis and ODEs
2009-06-12 v5
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.
Cite
@article{arxiv.0903.4958,
title = {On Generalized Hilbert Matrices},
author = {Ruiming Zhang},
journal= {arXiv preprint arXiv:0903.4958},
year = {2009}
}
Comments
15 pages