摘要
给出了广义酉矩阵与广义(斜)Hermite矩阵的概念,研究了它们的性质及其与酉阵、共轭辛阵、Hermite阵、Hamilton及广义逆矩阵之间的联系;取得了许多新的结果;推广了西矩阵、Hermite阵与斜Hermite阵间的相应结果,特别将正交阵的广义Cayley分解推广到了广义西矩阵上;将各类酉矩阵、Hermite矩阵及广义逆矩阵统一了起来。
The concepts of generalized unitary matrix and generalized (obilque)Hermite matrix are given, their properties and relations between they and unitary matrix, conjugate matrix,Hermite matris,Hamilton matrix and gereralized inverse matris are studied, and many new results are obtained. Moreover, the corresponding results on relations among unitary matrix,Hermite matrix and anit -Hermite matrix are popularized .especially the Cayley decomposition of orthogonal matrix is extended to generalized unitary matrix, and various kinds of the unitary matrix, Hermite matrix; generalized Hermite matrix and generalized inverse matrix unified.
出处
《数学杂志》
CSCD
北大核心
2003年第3期375-380,共6页
Journal of Mathematics
基金
重庆市教委科学基金(980102)
