结构J-对称矩阵特征值问题的算法  

Algorithms for Structured J-Symmetric Eigenvalue Problems

作　　者：谭云[1] 

机构地区：[1]青岛职业技术学院信息学院,山东青岛266555

出　　处：《青岛职业技术学院学报》2007年第3期71-73,共3页Journal of Qingdao Technical College

摘　　要：本文给出了计算结构J-对称矩阵特征值的算法。这些算法以Van Loan的平方约化方法和Cullum与Willoughby提出的计算复对称三对角矩阵特征值的QL过程为基础,利用了J-对称矩阵的特殊结构,可以节省计算量和存储量。Algorithms for computing eigenvalues of structured J-symmetric matrices are presented. Based on an analog of Van Loan＇s square reduced method for Hamiltonian matrices and a QL procedure proposed by Cullum and Willoughby for computing eigenvalues of complex symmetric tridiagonal matrices, these algorithms are structure-preserving, and hence the cost of computation and storage is reduced.

关 键 词：J-对称阵 J-反对称阵 复对称阵 复反对称阵 复正交阵 复辛阵 

分 类 号：O241.6[理学—计算数学]