The Improved Nonsingularity on the Scaled Factor Circulant Matrices

Circulant matrices are one of the most important and active research field of applied mathematic and computation mathematic increasingly . Scaled factor circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by [1] and [6], we give some discriminations by using only the elements in the first row of the scaled factor circulant matrix in the diagonal matrix on non singularity, and give an example at last.