Abstract
It is shown that the generalized inverses characterize the parallel sum. The almost positive definite ( a. p. d.) matrices introduced by Duffin and Morley [2] are of two types, whose intersection is the class of quasi-positive-definite matrices (Mitra and Puri [7]). The a. p. d. matrices of any one type form a “saturated” subclass of pairwise parallel summable a. p. d. matrices.
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