Closed-form formulas for calculating the max-min ranks of a triple matrix product composed by generalized inverses

DOI10.1007/s40314-018-0668-5zbMath1413.15002OpenAlexW2809546509MaRDI QIDQ1715653

Yongge Tian, Bo Jiang

Publication date: 29 January 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-018-0668-5

zbMATH Keywords

matrix productinequalityrankgeneralized inverseequalitymatrix-valued function

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 (5)

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 ⋮ Miscellaneous reverse order laws for generalized inverses of matrix products with applications ⋮ On a family of matrix equalities that involve multiple products of 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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