Definition of Circulant. Meaning of Circulant. Synonyms of Circulant

- In linear algebra, a circulant matrix is a square matrix in which all rows are composed of the same elements and each row is rotated one element to the...
- In graph theory, a circulant graph is an undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes...
- cyclic shift of a codeword by s places is again a codeword. A double circulant code is a quasi-cyclic code of even length with s=2. Quasi-twisted codes...
- obtains n × n matrices as integration kernels; convolution corresponds to circulant matrices. Although the properties of integral transforms vary widely,...
- classified. Two special (and actually, extreme) cases of circulant weighing matrices are (A) circulant Hadamard matrices which are conjectured not to exist...
- circulant matrix is manifestly regular, and therefore a circulant Hadamard matrix would have to be of square order. Moreover, if an n × n circulant Hadamard...
- diagonal matrices. Circulant matrices commute. They form a commutative ring since the sum of two circulant matrices is circulant. The notion of commuting...
- Cayley graphs of cyclic groups with arbitrary generator sets are called circulant graphs. These graphs may be represented geometrically as a set of equally...
- coincides with the matrix itself: A + = A . {\displaystyle A^{+}=A.} For a circulant matrix C {\displaystyle C} , the singular value decomposition is given...
- that are regular but not strongly regular are the cycle graph and the circulant graph on 6 vertices. The complete graph Km is strongly regular for any...