On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product
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Publication:1777835
DOI10.1155/S0161171204301183zbMath1075.15011MaRDI QIDQ1777835
Publication date: 25 May 2005
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/51785
Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (18)
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 ⋮ Reverse order law in \(C^{\ast }\)-algebras ⋮ Two sets of new characterizations for normal and EP matrices. ⋮ Closed-form formulas for calculating the max-min ranks of a triple matrix product composed by generalized inverses ⋮ The equivalence between (AB)†=B†A†and other mixed-type reverse-order laws ⋮ Some mixed-type reverse-order laws for the Moore-Penrose inverse of a triple matrix product ⋮ Equalities for orthogonal projectors and their operations ⋮ Mixed-type reverse-order laws for the generalized inverses of an operator product ⋮ Mixed-type reverse-order laws of \((AB)^{(1,2,3)}\) and \((AB)^{(1,2,4)}\) ⋮ Reverse order law for the core inverse in rings ⋮ On \(\mathbf V\)-orthogonal projectors associated with a semi-norm ⋮ Mixed-type reverse order law of \((AB)^{(13)}\) ⋮ Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications ⋮ Bi-cross-validation of the SVD and the nonnegative matrix factorization ⋮ Unnamed Item ⋮ On the mixed-type generalized inverses of the products of two operators ⋮ Further results on the Moore–Penrose invertibility of projectors and its applications
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