江声远.因式分解广义逆[J].数学研究及应用,1991,11(3):343~347
因式分解广义逆
Generalized Inverses with Factorization
投稿时间:1988-11-07  
DOI:10.3770/j.issn:1000-341X.1991.03.005
中文关键词:  
英文关键词:
基金项目:
作者单位
江声远 江西师范大学数学系 
摘要点击次数: 1796
全文下载次数: 1745
中文摘要:
      在因式分解范畴中定义态射的因式分解广义逆,给出了它的显形式,讨论了其唯一性.应用于范畴Cm×n中,态射A:m→n的满秩分解(A1,r,A2)可刻划A的具有指定值域和零空间的(1,2)逆,并给出了具有指定值域和零空间的(1,2)逆表成因式分解广义逆的充要条件.
英文摘要:
      In this paper we defined the generalized inverse with factorization of morphism in a category with factorization, gave out its explict formulas, discussed its uniqueness. Applying to the category Cm×n,we use the full-rank factoriza tion of matrix A to characterize the {1,2}-inverse of A with prescribed range and null space and get a necessary and sufficient condition for a {1,2}-inverse with prescribed range and null space can be expressed as a generalized inverse with factorization.
查看全文  查看/发表评论  下载PDF阅读器