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BUILT-IN MATHEMATICA SYMBOL

HankelMatrix

HankelMatrix[n]
gives the n×n Hankel matrix with first row and first column being successive integers.

gives the Hankel matrix whose first column consists of elements

, ....

gives the Hankel matrix with elements

down the first column, and

across the last row.

4×4 Hankel matrix:

Out[1]//MatrixForm=

Out[1]//MatrixForm=

Out[1]//MatrixForm=

Make a Hankel matrix of machine numbers:

Make a Hankel matrix with 24-digit precision:

Complex entries:

Non-square Hankel matrices:

Size-20 Hankel matrix:

The determinant of the Hankel matrix of size

A square Hankel matrix with real entries is symmetric:

HankelMatrix[c, RotateRight[c]] is a square anticirculant matrix:

Square anticirculant matrices have eigenvector

with eigenvalue

HankelMatrix and ToeplitzMatrix are related by a reversed identity matrix:

If element

is not the same as

is used and

is ignored: