Reverse order law of group inverses of products of two matrices

DOI10.1016/j.amc.2003.09.016zbMath1072.15004OpenAlexW1992160273MaRDI QIDQ702555

Xian Zhang, Xiao Min Tang, Chong Guang Cao

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.09.016

zbMATH Keywords

group inversenull spacereverse order lawcolumn space

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (21)

Some results on \(c\)-inverses of a core matrix ⋮ Reverse-order law for core inverse of tensors ⋮ Characterizations of the group invertibility of a matrix revisited ⋮ Improvements on the reverse order laws ⋮ Further results on weighted core inverse in a ring ⋮ Some results on the reverse order law in rings with involution ⋮ Central Drazin inverses ⋮ Reverse order laws in rings with involution. ⋮ Reverse order laws for the generalized strong Drazin inverses ⋮ The reverse order law \((ab)^\#=b^\dagger (a^\dagger abb^\dagger)^\dagger a^\dagger\) in rings with involution ⋮ Forward order law for the generalized inverses of multiple matrix product ⋮ Further results on the reverse order law for the group inverse in rings ⋮ Inequalities for group invertible \(H\)-matrices ⋮ Reverse order law for the group inverses ⋮ A note on the group inverse of some \(2 \times 2\) block matrices over skew fields ⋮ Reverse order law for the group inverse in rings ⋮ The reverse order laws for \(\{1,2,3\}\) - and \(\{1,2,4\}\) -inverses of a two-matrix product ⋮ Reverse-order law for the Moore–Penrose inverses of tensors ⋮ Reverse order law for the Drazin inverse in Banach spaces ⋮ Reverse Order Law for the Group Inverse in Semigroups and Rings ⋮ Reverse order laws for the generalized Drazin inverse in Banach algebras

Cites Work

• Further results on the reverse-order law
• The reverse order law \((AB)^-\) = \(B^-A^-\)
• Reverse order law for reflexive generalized inverses of products of matrices
• When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
• On the group-inverse of a linear transformation
• Note on the Generalized Inverse of a Matrix Product
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