On Circulant Matrices

Abstract

In this article rows, we introduce a more generalized notion of circulant matıix, namely, q-rows /«circulant matrices. Suppose the ıuatrix is n x n and q is a divisor of n so that the row8 of the matrix can be partitioned into hlocks ofq-rows each. Let each row hlock be obtainened from the precediug one by shifting ali its entıies l places to the right. In generalizing the study to those q-row l-ciaculant matrices, we have obtained as special cases the reaults ou ı-row /^circulant and ı-row ı-cir- culant matrices.