The minus partial order and the shorted matrix

Mitra, Sujit Kumar (1986) The minus partial order and the shorted matrix Linear Algebra and its Applications, 83 . pp. 1-27. ISSN 0024-3795

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The minus partial order was defined by Hartwig [6], weakening the conditions of the star partial order of Drazin [5]. Several new properties of the minus partial order are established. The minus partial order is used to redefine the shorted matrix [15, 17] and to define the infimum A ∧ B and the supremum A ∨ B of a pair A, B of matrices of the same order. The definition of the shorted matrix given here is similar to the Krein-Anderson-Trapp definition of the shorted positive operator.

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