Circulant - Maple Help

The Circulant Indexing Function

Description

 • The Circulant indexing function can be used to construct rtable objects of type Array or Matrix.
 • In the specification of a Matrix, if Circulant[V] is included in the calling sequence as an indexing function, where V is a Vector or list of algebraic values, a Circulant Matrix is returned.
 Note:    A Circulant Matrix is a Matrix where the entries of a given row are the elements of the previous row moved cyclically one position to the right.  All entries on the main diagonal are therefore identical.
 • The specification is similar in the construction of an Array.

Examples

 > $M≔\mathrm{Matrix}\left(3,\mathrm{shape}=\mathrm{Circulant}\left[\left[1,2,3\right]\right]\right)$
 ${M}{≔}\left[\begin{array}{ccc}{1}& {2}& {3}\\ {3}& {1}& {2}\\ {2}& {3}& {1}\end{array}\right]$ (1)