On Nonsingularity of RSFPLR Circulant Matrices

In this paper, we discuss the non-singularity of a row skew rst-plus-last right (RSFPLR)circulant matrices with the rst row (a1; a2; : : : ; an), which is determined by entries of the rst row. First, the su�cient condition for the matrix to be nonsingular is that, there existsan elementai0belonging to the rst row, whose absolute value is greater than the sum ofthe corresponding power of 2 and the absolute values of the remaining (n−1) elements, thatis,|ai0|>∑ni=1;i̸=i02i−i0|ai|. Moreover, we derive other su�cient conditions for judging thenon-singularity of the matrix.