Ela the Reverse Order Laws and the Mixed-type Reverse Order Laws for Generalized Inverses of Multiple Matrix Products

Ela on a Group of Mixed-type Reverse-order Laws for Generalized Inverses of a Triple Matrix Product with Applications∗

Necessary and sufficient conditions are established for a group of mixed-type reverseorder laws for generalized inverses of a triple matrix product to hold. Some applications of the reverse-order laws to generalized inverses of the sum of two matrices are also given.

The reverse order laws and the mixed-type reverse order laws for generalized inverses of multiple matrix products

Ela a New Equivalent Condition of the Reverse Order Law for G-inverses of Multiple Matrix Products∗

In 1999, Wei [M.Wei, Reverse order laws for generalized inverse of multiple matrix products, Linear Algebra Appl., 293 (1999), pp. 273-288] studied reverse order laws for generalized inverses of multiple matrix products and derived some necessary and sufficient conditions for An{1}An−1{1} · · ·A1{1} ⊆ (A1A2 · · ·An){1} by using P-SVD (Product Singular Value Decomposition). In this paper, using ...

On a group of mixed-type reverse-order laws for generalized inverses of a triple matrix product with applications

Necessary and sufficient conditions are established for a group of mixed-type reverseorder laws for generalized inverses of a triple matrix product to hold. Some applications of the reverse-order laws to generalized inverses of the sum of two matrices are also given.

Mixed-type reverse-order laws for {1, 3, 4}-generalized inverses over Hilbert spaces

The reverse order laws for {1,3,4}-generalized inverses of a product of two operators have been studied by Wang et al. [J. Wang, H. Zhang, G. Ji, A generalized reverse order law for the products of two operators, Journal of Shaanxi Normal University, 38 (4) (2010), 13–17]. In this paper using a block-operator matrix technique we study mixed-type reverse-order laws for {1,3,4}-generalized invers...