Classroom Note: Some Eigenvalue Properties of Persymmetric Matrices
Classroom Note: Some Eigenvalue Properties of Persymmetric Matrices
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DOI：
10.1137/s0036144595294801
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发表时间：
1997-06
期刊：
影响因子：
--
通讯作者：
R. Reid
中科院分区：
文献类型：
--
作者：
R. Reid
一个矩阵被称为超对称的（Golub和Van Loan，矩阵计算，The Johns Hopkins University Press, 1989），如果它在其左下至右上对角线上对称，则具有类似的对反对称和对厄米矩阵的定义。本文给出了两个对称矩阵的一些有用的特征值和特征向量性质，例如对称和过对称矩阵。
A matrix is called persymmetric (Golub and Van Loan, Matrix Computations, The Johns Hopkins University Press, 1989) if it is symmetric across its lower-left to upper-right diagonal, with similar definitions for per-antisymmetric and per-Hermitian matrices. This note shows some useful eigenvalue and eigenvector properties of matrices with two symmetries, such as matrices which are symmetric and persymmetric.