Generalizations of the reverse order law with related results

DOI10.1016/0024-3795(74)90061-5zbMath0285.15007OpenAlexW2034355946MaRDI QIDQ1844889

Jimmie D. Gilbert, David T. Barwick

Publication date: 1974

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(74)90061-5

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Further results on the reverse-order law ⋮ Reverse-order law for core inverse of tensors ⋮ Forward order law for the generalized inverses of multiple matrix product ⋮ Explicit solutions to the reverse order law \((AB)^+=B^-_{mr}A^-_{lr}\) ⋮ Reverse-order law for the Moore–Penrose inverses of tensors

Cites Work

• Unnamed Item
• Remarks on the generalized inverse of a matrix
• Theorems on products of \(EP_{r}\) matrices
• Note on the Generalized Inverse of a Matrix Product
• Computation of Generalized Inverse Matrices which Satisfy Specified Conditions