On mixed‐type reverse‐order laws for the Moore‐Penrose inverse of a matrix product
Yongge Tian · International Journal of Mathematics and Mathematical Sciences · 2004
Some mixed‐type reverse‐order laws for the Moore‐Penrose inverse of a matrix product are established. Necessary and sufficient conditions for these laws to hold are found by the matrix rank method. Some applications and extensions of these reverse‐order laws to the weighted Moore‐Penrose inverse are also given.