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.
  • 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.