Reverse order law for outer inverses and Moore-Penrose inverse in the context of star order
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DOI: 10.12688/f1000research.123411.1
Abstract: The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined. The notions… read more here.
Keywords: star; reverse order; order law; outer inverses ... See more keywords
Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space
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DOI: 10.3390/math11071732
Abstract: The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems. The main novelty of this paper is the unification of solutions of considered… read more here.
Keywords: rank properties; minimal rank; prescribed range; inverses prescribed ... See more keywords