Definition:Hankel Matrix

Definition

A Hankel matrix is a square matrix whose antidiagonals are constant.

That is, all the elements along an antidiagonal are equal.

Examples

$3 \times 3$ Hankel Matrix

A $3 \times 3$ Hankel matrix is of the form:

$\begin {pmatrix} a & b & c \\ b & c & d \\ c & d & e \end {pmatrix}$

Also see

• Results about Hankel matrices can be found here.

Source of Name

This entry was named for Hermann Hankel.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Hankel matrix