关于广义Hilbert矩阵
On Generalized Hilbert Matrices
摘要：
本文给出了一种系统的方法，用于显式计算某些广义Hilbert矩阵的行列式和逆矩阵，这些广义Hilbert矩阵与具有显式表示的正交系有关。我们用显式正交系表示了这类矩阵的行列式、逆矩阵和最小特征值的下界。
英文摘要：
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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