In linear algebra, a Hankel matrix, named after Hermann Hankel, is a square matrix with constant (positive sloping) skew-diagonals, e.g.; Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (or linear spaces), linear transformations, and systems of linear equations. ... Hermann Hankel (February 14, 1839 - August 29, 1873) was a German mathematician who was born in Halle, Germany and died in Schramberg (near Tübingen), Germany. ... For the square matrix section, see square matrix. ...

In mathematical terms:

a_i,j = a_{i − 1,j + 1}

The Hankel matrix is closely related to the Toeplitz matrix (a Hankel matrix is an upside-down circulant matrix). In the mathematical discipline of linear algebra, a Toeplitz matrix, named after Otto Toeplitz, or diagonal constant matrix is a special kind of matrix where each descending diagonal from left to right is constant. ...

A Hankel operator on a Hilbert space is one whose matrix with respect to an orthonormal basis is an infinite Hankel matrix , where a_i,j depends only on i + j. This article is about operators in mathematics, for other kinds of operators see operator (disambiguation). ... In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. ... In mathematics, an orthonormal basis of an inner product space V(i. ...