A UNIFIED FORM OF THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE CONTINUITY OF MANY GENERALIZED INVERSES OF MATRICES IN COMMON USE
CHEN YONGLIN (Department of Mathematics, Nanjing Normal Univeristy, Nanjing 210097)
In this paper, we give a necessary and sufficient condition for the continuity of the genearlized inverse A(2)T, S of a matrix A, which is a unified form of necessary and sufficient conditions for the continuity of many generalized inverses of matrices in common use, for example, A＋, A＋M N, A(d), Ad, W, A(-1)(L), etc. Our results include and extend the related ones.
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