The Nonsingularity on the Symmetric r-Circulant Matrices

C. Dong
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引用次数: 1

Abstract

Circulant matrix is important since it is an active research field of applied mathematic and computation mathematic increasingly . R-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], we give some discriminations by using only the elements in the first row of the r-circulant matrix in the diagonal matrix on non singularity, and give two examples at last.
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对称r-循环矩阵的非奇异性
循环矩阵日益成为应用数学和计算数学中一个活跃的研究领域。近年来,r循环矩阵在数值计算、信号处理、编码理论和石油勘探等领域得到了广泛的应用。本文在[1]的启发下,在非奇异对角矩阵上,仅利用r-循环矩阵第一行的元素给出了一些判别,最后给出了两个例子。
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