HilbertMatrix
Input: HilbertMatrix(n)
$$H_{n}$$The Hilbert matrix of size $n$.
Input: Equal(HilbertMatrix(n), Where(Matrix(c_(i,j), For(i, 1, n), For(j, 1, n)), Def(c_, Fun(Tuple(i, j), 1/(i+j-1)))))
$$H_{n} = \displaystyle{\begin{pmatrix} c_{1, 1} & c_{1, 2} & \cdots & c_{1, n} \\ c_{2, 1} & c_{2, 2} & \cdots & c_{2, n} \\ \vdots & \vdots & \ddots & \vdots \\ c_{n, 1} & c_{n, 2} & \ldots & c_{n, n} \end{pmatrix}}\; \text{ where } c_{i, j} = \frac{1}{i + j - 1}$$Description of the Hilbert matrix.
Last updated: 2020-03-06 00:22:16