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除环上矩阵的因式分解广义逆
引用本文:刘晓冀. 除环上矩阵的因式分解广义逆[J]. 江西师范大学学报(自然科学版), 1996, 20(2): 125-129
作者姓名:刘晓冀
作者单位:江西师范大学数学系
摘    要:该文研究除环上的因式分解广义逆,讨论了它的基本性质,给出了具有指定右列空间和右零空间的{1,2}逆可以表为一个因式分解广义逆的充要条件.

关 键 词:除环 矩阵 因式分解 广义逆

Generalized Inverse with Factorization for Matries over Division Rings
Liu Xiaoji. Generalized Inverse with Factorization for Matries over Division Rings[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 1996, 20(2): 125-129
Authors:Liu Xiaoji
Abstract:In this paper, we studied the generalized inverse with factorization for matrices over division rings,discussed its fundamental properties,gived out a necessary and sufficient condition for a {1, 2}-inverse with prescribed right column space and right null space can be expressed as a generalized inverse with factorization
Keywords:division ring  matrix  generalized inverse
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