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广义逆A_(T,S)^(2)的子式 被引量:3

MINORS OF THE GENERALIZED INVERSE A_(T,S)^(2)
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摘要 The explicit expression for the generalized inverse AT,S2 in [6]is utilized in presenting the minors of the generalized inverse AT,S2. Thus, without calculating M-P inverse, weighted M-P inverse, group inverse and Drazin inverse, we are able to find the minors of them. The main results are also the generalization of the results proposed by [5] and [8]. The explicit expression for the generalized inverse A_(T,S)~2 in [6] is utilized in presenting the minors of the generalized inverse A_(T,S)^(2). Thus, without calculating M-P inverse, weighted M-P inverse, group inverse and Drazin inverse, we are able to find the minors of them. The main results are also the generalization of the results proposed by [5] and [8].
作者 王国荣 高璟
机构地区 上海师范大学
出处 《计算数学》 CSCD 北大核心 2001年第4期437-446,共10页 Mathematica Numerica Sinica
基金 国家自然科学基金(19971057) 上海市科委和上海市教委科技发展基金(00JC14057)资助项目。
关键词 广义逆 Hermite正定阵 Laplace展开式 Cauchy-Binet公式 generalized inverse A_(T,S)^(2), minors
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参考文献6

  • 1王国荣,上海师范大学学报,1999年,28卷,2期,12页
  • 2Wei Yimin,Linear Algebra Appl,1998年,280卷,87页
  • 3王国荣,矩阵与算子广义逆,1994年,1998页
  • 4Miao Jianming,Linear Algebra Appl,1993年,195卷,191页
  • 5Miao Jianming,Linear Multilinear Algebra,1993年,35卷,153页
  • 6Rao C R,Generalized Inverse of Matrices and its Applications,1971年

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