Weighted composite outer inverses

作者:

Highlights:

• Weighted composite outer inverses are introduced.

• Introduced inverses are characterized from algebraic and geometrical approach.

• Different representations of weighted composite inverses are presented.

• Weighted composite outer inverses are used in solving systems of linear equations.

• Numerical experiments are performed.

摘要

•Weighted composite outer inverses are introduced.•Introduced inverses are characterized from algebraic and geometrical approach.•Different representations of weighted composite inverses are presented.•Weighted composite outer inverses are used in solving systems of linear equations.•Numerical experiments are performed.

论文关键词:Weighted outer inverse,Moore–Penrose inverse,Composite outer inverse

论文评审过程:Received 24 May 2021, Revised 23 June 2021, Accepted 30 June 2021, Available online 15 July 2021, Version of Record 15 July 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126493