# Manuals/calci/hankel

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HANKEL(Number)

• is the order of the hankel matrix.

## Description

• This function gives the matrix with the property of hankel matrix with the given order.
• A hankel matrix is a square matrix with constant skew diagonals.
• If the i,j element of Hankel matrix A is denoted , then we have

.

• i.e., The form of Hankel matrix is:

.

• A hankel matrix is also called as catalecticant matrix.
• Here HANKEL(3) is gives the hankel matrix of order 3 with decimal values.
• A Hankel matrix is an upside-down Toeplitz matrix.
• A matrix whose entries along a parallel to the main anti-diagonal are equal, for each parallel.
• Sometimes this type of matrices are also called as orthosymmetric matrices.

## Examples

1. hankel(2)

 0.803583 0.803583 0.803583 0.00188134

2. HANKEL(4)

 0.366127 0.0410985 0.581198 0.581198 0.0410985 0.581198 0.581198 0.0410985 0.581198 0.581198 0.0410985 0.366127 0.581198 0.0410985 0.366127 0.0636353

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Types of Matrices