Category:Definitions/Hilbert Matrices

This category contains definitions related to Hilbert Matrices.
Related results can be found in Category:Hilbert Matrices.

A Hilbert matrix is an order $n$ square submatrix of the infinite Hilbert matrix, consisting of the elements in the first $n$ rows and columns of that matrix.

Thus it is an $n \times n$ matrix whose elements are defined as:

$a_{i j} = \dfrac 1 {i + j - 1}$

The order $n$ Hilbert matrix is often denoted $H_n$.