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首尾差分块循环矩阵的性质及非奇异性
引用本文:王晓叶. 首尾差分块循环矩阵的性质及非奇异性[J]. 数学理论与应用, 2013, 0(1): 110-115
作者姓名:王晓叶
作者单位:西华大学数学与计算机学院
基金项目:西华大学重点学科“应用数学”(ZXD0910-09-1)
摘    要:本文提出了首尾差分块循环矩阵的概念,包括(n,m)型首尾差分块循环矩阵和(n,m)型二重首尾差分块循环矩阵,讨论了它们的性质,并给出了判定其非奇异性的充要条件.

关 键 词:首尾差分块循环矩阵

Properties and Nonsingularity of the Blocked Circulant Matrices with Differences of Head and Tail Blocks
Wang Xiaoye. Properties and Nonsingularity of the Blocked Circulant Matrices with Differences of Head and Tail Blocks[J]. Mathematical Theory and Applications, 2013, 0(1): 110-115
Authors:Wang Xiaoye
Affiliation:Wang Xiaoye(School of Mathematics and Computer Engineering,Xihua University,Chengdu,Sichuan,610039 China)
Abstract:In this paper we define the so called (n,m) type and two-fold (n, m) type blocked circulant matrices with differences between the head and tail blocks in each row. Some properties of such matrices are obtained and a necessary and sufficient condition for such a matrix to be non - singular is given as well.
Keywords:Blocked Circulant Matrix with Differences Between Head and Tail Blocks
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