Manuals/calci/TOEPLITZ

MATRIX("TOEPLITZ",order)


  • is the size of the Toeplitz matrix.

Description

  • This function gives the matrix of order 3 with the property of toeplitz matrix.
  • A Toeplitz matrix is a matrix with the constant values along negative sloping diagonals(descending diagonal from left to right).
  • If the i,j element of A is denoted  , then we have

 .

  • Any nxn matrix A of the form:

 

  • The property of Toeplitz matrix is :Toeplitz matrices are persymmetric.
  • Symmetric Toeplitz matrices are both centrosymmetric and bisymmetric.
  • Toeplitz matrices commute asymptotically.

Examples

  • MATRIX("toeplitz") =0.5239269779995084
  • MATRIX("toeplitz",3)
0.5852752963546664 0.5083035423886031 0.8240970941260457
0.5852752963546664 0.5852752963546664 0.5083035423886031
0.5083035423886031 0.5852752963546664 0.585275296354666
  • MATRIX("toeplitz",5,1..7)
1 2 3 4 5
6 1 2 3 4
7 6 1 2 3
1 7 6 1 2
2 1 7 6 1
  • MATRIX("toeplitz",4,761..770)
761 762 763 764
765 761 762 763
766 765 761 762
767 766 765 761

Related Videos

Toeplitz Matix

See Also

References