摘要
给出在矩阵论和物理学等应用学科上极为需要的块循环阵A ̄[1]和复对出循环阵的特征值的具体形状,并给出判断A非异的简便方法。推广了 ̄[2]的结果。
It is necessary to find the concrete manner of eigenvalues of a block cyclic matriX in appliedmatrix and physics. This paper gives the concrete expressions of all the eigenvalues of an mn × mn blockcyclic matrix and n×n complex symmetric cyclic matrix .This paper also provides a discrimination on nonsingulatiey of block cyclic matrices.
出处
《山东师范大学学报(自然科学版)》
CAS
1995年第1期4-8,共5页
Journal of Shandong Normal University(Natural Science)
关键词
循环阵
对角阵
块循环阵
特征值
非异性
cyclic matric
diagonal matrix
matrix polynomial
mutually prime