Manuals/calci/CIRCULANT

MATRIX("CIRCULANT",order)

• $order$ is the order of the arrowhead 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

C =\begin{vmatrix} a & b & c \\ c & a & b \\ b & c & a \\ \end{vmatrix}

• Here MATRIX("circulant") is giving the circulant matrix for random numbers in decimal.

8Circulant matrices are very useful in digital image processing, and the n×n circulant matrix is implemented as CirculantMatrix.