Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse

作者：

Highlights：

• The explicit expression for core-EP inverse of upper block triangular matrix is established.

• New expressions for the core-EP inverse are presented.

• A perturbation formula for the core-EP inverse is presented.

• Corresponding representations of the W-weighted core-EP inverse and W-weighted core-EP inverse solution are given.

• Numerical examples are presented.

摘要

•The explicit expression for core-EP inverse of upper block triangular matrix is established.•New expressions for the core-EP inverse are presented.•A perturbation formula for the core-EP inverse is presented.•Corresponding representations of the W-weighted core-EP inverse and W-weighted core-EP inverse solution are given.•Numerical examples are presented.

论文关键词：Core-EP inverse,Schur decomposition,Sign pattern,Core-EP solution

论文评审过程：Received 16 May 2020, Revised 9 February 2021, Accepted 30 March 2021, Available online 13 April 2021, Version of Record 13 April 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126247