1) generalized row(column) unitary symmetric matrix
广义行(列)酉对称矩阵
1.
The full rank factorization and Moore-Penrose inverse for generalized row(column) unitary symmetric matrix
广义行(列)酉对称矩阵的满秩分解及其Moore-Penrose逆
2) general anti-symmetric unitary anti-symmetric matrix
广义反对称酉反对称矩阵
1.
By applying the properties of general anti-symmetric unitary anti-symmetric matrix and the theory of reflexive inverse of matrix,the sufficient conditions for the existence and the common expressions of general anti-symmetric unitary anti-symmetric solutions of matrix equation AX=C and the system are presented.
利用广义反对称酉反对称矩阵的性质和矩阵的自反逆的理论,得到了实四元数矩阵方程AX=C和矩阵方程组的广义反对称酉反对称解的存在条件及其通解表达式。
3) unitary symmetric matrix
酉对称矩阵
1.
Based on definition of orthogonal counterbalance, authors definite the unitary counterbalance of matrix and prove the unitary counterbalance properties of unitary symmetric matrix and it s mother matrix, obtain some results as the Moore-Penrose inverses of unitary symmetric matrices are unitary counterbalance if unitary symmetric matrices are unitary counterbalance.
该文讨论了酉对称矩阵QR分解中Q矩阵和R矩阵与母矩阵的Q矩阵和R矩阵之间的定量关系。
4) 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。
5) Generalized per-symmetric matrix
广义广对称矩阵
6) generalized symmetric matrix
广义对称矩阵
1.
Eigen-problem and singular value decomposition of the generalized symmetric matrix;
广义对称矩阵的特征问题及其奇异值分解
补充资料：广义
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