Manuals/calci/CIRCULANT

MATRIX("CIRCULANT",order)


  • is the order of the circulant matrix.

Description

  • This function gives the Circulant matrices of given order.
  • A circulant matrix is a special kind of Toeplitz matrix where each row vector is rotated one element to the right relative to the preceding row vector.
  • An n × n circulant matrix is formed from any n vector by cyclically permuting the entries.
  • Starting with [a b c] we can generate the 3 × 3 circulant matrix

 .

  • In Calci, MATRIX("circulant") is giving the circulant matrix for random numbers in decimal.
  • Circulant matrices are very useful in digital image processing, and the n×n circulant matrix is implemented as CirculantMatrix.

Examples

  • MATRIX("circulant")
0.15551561512984335 0.43306124373339117 0.7585938205011189
0.7585938205011189 0.15551561512984335 0.43306124373339117
0.43306124373339117 0.7585938205011189 0.15551561512984335
  • MATRIX("circulant",5,20..100..15)
20 80 65 50 35
35 20 80 65 50
50 35 20 80 65
65 50 35 20 80
80 65 50 35 20

See Also

References