Mixed-type reverse-order laws for \(\{1, 3, 4\}\)-generalized inverses over Hilbert spaces
From MaRDI portal
Publication:440750
DOI10.1016/j.amc.2012.02.020zbMath1259.47001OpenAlexW2100375703MaRDI QIDQ440750
Xiaoji Liu, Dragana S. Cvetković-Ilić, Shaowu Huang
Publication date: 19 August 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.020
Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
Related Items
Reverse order laws for \(\{1,2,3\}\)-generalized inverses, The forward order laws for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of multiple matrix products, A note on the forward order law for least square \(g\)-inverse of three matrix products, On the mixed-type generalized inverses of the products of two operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mixed-type reverse-order laws for the generalized inverses of an operator product
- Reverse order laws for \(\{1,3,4\}\)-generalized inverses in \(C^{*}\)-algebras
- Reverse order laws in \(C^{*}\)-algebras
- Reverse order laws for the weighted generalized inverses
- Symbolic and recursive computation of different types of generalized inverses
- Moore-Penrose inverse in rings with involution
- The reverse order laws for \(\{1,2,3\}\) - and \(\{1,2,4\}\) -inverses of a two-matrix product
- The reverse order law revisited
- The product of operators with closed range and an extension of the reverse order law
- When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
- Reverse order laws for the generalized inverses of multiple matrix products
- Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices
- Equivalent conditions for generalized inverses of products
- Generalized inverses. Theory and applications.
- Reverse order laws for generalized inverses of multiple matrix products
- Further Results on the Reverse Order Law for Generalized Inverses
- Computing generalized inverses using LU factorization of matrix product
- The reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products
- On Weighted Reverse Order Laws for the Moore–Penrose Inverse andK-Inverses
- Note on the Generalized Inverse of a Matrix Product
- The equivalence between (AB)†=B†A†and other mixed-type reverse-order laws