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1)  extended unitary group
广义酉群
2)  generalized unitary graph
广义酉图
1.
In this paper, Let H be a Hermitian matrix over finite field F_(q~2),and M be the set of all subspaces of (m,0) with respect to H in F_(q~2)~(2v),We construct a graph with M denoted by generalized unitary graph, then we discuss some properties of it.
在本文中,设H有限域F_(q~2)上的埃尔米特矩阵,令M表示n维酉空间F_(q~2)~((2v))中关于H的m维全迷向子空间构成的集合,我们利用M构作一个广义酉图GU~m(2v+δ,q~2),然后讨论了它的某些性质。
3)  generalized unitary matrix
广义酉矩阵
1.
In this paper, we study the tensor product and induced matrix of the finite generalized unitary matrixes and generalized (oblique) Hermite matrices.
本文研究了有限个广义酉矩阵与广义(反)Hermite矩阵的张量积和诱导矩阵。
2.
In this paper, the properties of k-generalized unitary matrix and relations between it and unitary matrix, symplectic matrix, Householder matrix are discussed, and many new results are obtained.
本文研究了k-广义酉矩阵的性质及其与酉矩阵、辛矩阵、Householder矩阵之间的联系,取得了许多新的结果,推广了酉矩阵及Householder矩阵的相应结果,特别将正交矩阵的广义Cayley分解推广到了广义酉矩阵上;并将各类酉矩阵及辛矩阵统一了起来。
3.
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.
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。
4)  generalized unitary transformation
广义酉变换
1.
By using inner product of unitary space concept of generalized orthogonal basis is given, and the relations of generalized orthogonal basis, generalized unitary transformation and unitary matrix is studied.
在酉空间中利用内积给出了广义正交基的概念,研究它与广义酉变换、酉矩阵之间的关系,获得了一些新的结果,推广了酉空间的规范正交基、酉变换等结果。
5)  generalized unitary similarity
广义酉相似
6)  generalized unitarityrelation
广义酉关系
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