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Computing Outer Inverses Using Complete Orthogonal Factorizations

Computing Outer Inverses Using Complete Orthogonal Factorizations

Several full-rank representations of the $A_{T,S}^{(2)}$ inverse of a given constant complex matrix, which are based on various complete orthogonal factorizations, are introduced. Particularly, we introduce a full rank representation based on the Singular Value Decomposition ($SVD$) as well as on a combination of the $QR$ decomposition and the $SVD$ …