The perturbation for the solution of rectangular linear systems

摘要

In this paper, the normwise perturbation theory for the W-weighted Drazin inverse solution of rectangular linear systems is investigated. When we take PQ-norm, we get the perturbation bound for the solution. Further, we show the minimum quality of condition number in the perturbation bound. Our work can be seen as the extended results for Drazin inverse solution of singular linear systems.