On parallel summability of matrices

Mitra, Sujit Kumar ; Odell, Patrick L. (1986) On parallel summability of matrices Linear Algebra and its Applications, 74 . pp. 239-255. ISSN 0024-3795

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Related URL: http://dx.doi.org/10.1016/0024-3795(86)90126-6


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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