This paper presents the matrix representation for extension of inverse of restriction of a linear operator to a subspace, on the basis of which we establish useful representations in operator and matrix form for the g...This paper presents the matrix representation for extension of inverse of restriction of a linear operator to a subspace, on the basis of which we establish useful representations in operator and matrix form for the generalized inverse A(T,S)^(2) and give some of their applications.展开更多
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 Dra...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].展开更多
基金This research is supported by the Natural Science Foundation of the Educational Committee of Jiang Su Province.
文摘This paper presents the matrix representation for extension of inverse of restriction of a linear operator to a subspace, on the basis of which we establish useful representations in operator and matrix form for the generalized inverse A(T,S)^(2) and give some of their applications.
文摘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].
