Characterizations and representations of the (P, Q)-outer generalized inverse

作者:

Highlights:

摘要

We present a new explicit expression for the (P, Q)-outer generalized inverse based on the idempotent operators P and Q. We derive properties of the (P, Q)-outer generalized inverse and analyse relations among the various (P, Q)-outer generalized inverses.

论文关键词:(P, Q)-outer generalized inverse,Idempotent,Orthogonal projector,Positive operator,Moore Penrose inverse,Drazin inverse

论文评审过程:Received 18 March 2015, Revised 12 June 2015, Accepted 13 July 2015, Available online 14 August 2015, Version of Record 14 August 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.07.057