Displacement structure of the DMP inverse
Jin Hua Zhong, Hong Yang · Open Mathematics · 2022
Abstract A matrix A A is said to have the displacement structure if the rank of the Sylvester displacement A U − V A AU-VA or the Stein displacement A − V A U A-VAU is much smaller than the rank of A A . In this article, we study the displacement structure of the DMP inverse A d , † {A}^{d,\dagger } . Estimations for the Sylvester displacement rank of DMP inverse are presented under some restrictions. The generalized displacement is also discussed. The general results are applied to the core inverse.