Abstract
In this paper, the definition of block independence in the generalized inverse AT,S(2) is firstly given, and then a necessary and sufficient condition for some ordered matrices to be block independent in the generalized inverse AT,S(2) is derived. As an application, a necessary and sufficient condition forA1+A2+⋯+AkT,S(2)=A1T1,S1(2)+A2T2,S2(2)+⋯+AkTk,Sk(2)is proved. Moreover, some results are shown with respect to the Moore–Penrose inverse, the Weighted Moore–Penrose inverse and the Drazin inverse, respectively.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.