Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications

DOI10.1186/s13660-016-1123-zzbMath1344.15003OpenAlexW2489435743WikidataQ59466936 ScholiaQ59466936MaRDI QIDQ737055

Yongge Tian

Publication date: 5 August 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1123-z

zbMATH Keywords

matrix productinequalityrankgeneralized inversematrix equationequalityreverse-order law

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Necessary and sufficient conditions for nonlinear matrix identities to always hold ⋮ Two groups of mixed reverse order laws for generalized inverses of two and three matrix products ⋮ Closed-form formulas for calculating the max-min ranks of a triple matrix product composed by generalized inverses ⋮ How to establish exact formulas for calculating the max–min ranks of products of two matrices and their generalized inverses ⋮ Formulas for calculating the dimensions of the sums and the intersections of a family of linear subspaces with applications

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