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In linear algebra, a Hankel matrix , named after Hermann Hankel, is a square matrix in which each ascending skew-diagonal from left to right is constant, e.g.:
More generally, a Hankel matrix is any n × n {\displaystyle n\times n} matrix A {\displaystyle A} of the form
In terms of the components, if the i , j {\displaystyle i,j} element of A {\displaystyle A} is denoted with A i j {\displaystyle A_{ij}} , and assuming i ≤ j {\displaystyle i\leq j} , then we have A i , j = A i + k , j − k {\displaystyle A_{i,j}=A_{i+k,j-k}} for all k = 0 , . . . , j − i . {\displaystyle k=0,...,j-i.}