The reverse order law for theW-weighted Drazin inverse of multiple matrices product |
| |
| Authors: | Guorong Wang Zhaoliang Xu |
| |
| Institution: | 1. College of Mathematical Sciences, Shanghai Normal University, 200234, Shanghai, P. R. China
2. Department of Basic Science, Shanghai Maritime University, 200135, Shanghai, P. R. China
|
| |
| Abstract: | By using the rank methods of matrix, a necessary and sufficient condition is established for reverse order law $$\begin{gathered} WA_{d,W} W = (W_n (A_n )_{d,W_n } W_n )(W_{n - 1} (A_{n - 1} )_{d,W_{n - 1} } W_{n - 1} ) \hfill \\ ... (W_1 (A_1 )_{d,W_1 } W_1 ) \hfill \\ \end{gathered} $$ to hold for the W-weighted Drazin inverses, whereA =A 1 A 2 … A n andW =W n W n-1 …W 1. This result is the extension of the result proposed by Linear Algebra Appl., 348(2002)265-272] and the result proposed by J. Math. Research and Exposition. 19(1999)355-358]. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
