In linear algebra, a Hankel matrix (or catalecticant matrix), named after Hermann Hankel, is a square matrix with constant skew-diagonals (positive sloping diagonals), e.g.:
If the i,j element of A is denoted Ai,j, then we have
The Hankel matrix is closely related to the Toeplitz matrix (a Hankel matrix is an upside-down Toeplitz matrix). For a special case of this matrix see Hilbert matrix.
A Hankel operator on a Hilbert space is one whose matrix with respect to an orthonormal basis is a (possibly infinite) Hankel matrix, where depends only on .
The determinant of a Hankel matrix is called a catalecticant.
Read more about Hankel Matrix: Hankel Transform, Hankel Matrices For System Identification
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