Hankel matrix

Intuition

A Hankel matrix is a matrix whose entries are constant along each anti-diagonal. For example:
$$H=\left(\begin{array}{llll} 1& 2& 3 & 4 \\ 2 & 3 & 4 & 5 \\ 3 & 4 & 5 & 6 \\ 4 & 5 & 6 & 7 \end{array}\right).$$

Definition

A Hankel matrix is a matrix $H=(h_{ij})$ whose entries satisfy:
$$h_{ij}=c_{i+j}$$for some sequence $c_{k}$.

Remarks

• Hankel matrices are not necessarily square.