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环上矩阵广义逆的协变性
引用本文:韩瑞珠. 环上矩阵广义逆的协变性[J]. 东南大学学报(自然科学版), 1993, 23(6): 17-23
作者姓名:韩瑞珠
作者单位:东南大学数学力学系
摘    要:本给出了一类满足广义逆协变性条件的可逆矩阵集合与常见的可逆矩阵集合之间的关系,推广了复数域,四元为数体上矩阵广义逆协变性的相应结果。

关 键 词:广义逆 协变性 矩阵 环

On the Covariance of the Generalized Inverses of Matrices over Rings
Han Ruizhu. On the Covariance of the Generalized Inverses of Matrices over Rings[J]. Journal of Southeast University(Natural Science Edition), 1993, 23(6): 17-23
Authors:Han Ruizhu
Affiliation:Department of Mathematics and Mechanics
Abstract:In this paper,we give some relations between the classes of invertible matrices satisfying the covariant conditions of the generalized inverses,and the usual classes of invertible matrices.Some relative results about the eovarianee of the generalized inverses of matrices over complex field or quaternion field are generalized.
Keywords:generalized inverse  covaxiance  matrix rings/quaternion field
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