Ela a Note on the Reverse Order Laws for {1, 2, 3}- and {1, 2, 4}-inverses of Multiple Matrix Products

A note on the reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products

Ela New Conditions for the Reverse Order Laws for {1, 3} and {1, 4}-generalized Inverses

In this note, the reverse order laws for {1, 3} and {1, 4}-generalized inverses of matrices are considered. New necessary and sufficient conditions for (AB){1, 3} ⊆ B{1, 3} · A{1, 3} and (AB){1, 4} ⊆ B{1, 4} ·A{1, 4} are presented.

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 ...

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

In this paper, necessary and sufficient conditions for a number of reverse order laws and mixed-type reverse order laws are derived by using the maximal ranks of the generalized Schur complements.

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.