International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 57-60, Pages 3103-3116
doi:10.1155/S0161171204301183
On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product
Yongge Tian
Department of Mathematical and Statistical Sciences, University of Alberta, AB, Edmonton T6G 2G1, Canada
Abstract
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.