Generalizations of composite inverses with certain image and/or kernel

作者:

Highlights:

• Generalizations of composite outer inverses are proposed.

• Ranges and null spaces of proposed generalizations are investigated.

• Algorithms for numeric and symbolic computation of generalized composite outer inverses are presented.

• Numerical and symbolic examples are presented.

摘要

•Generalizations of composite outer inverses are proposed.•Ranges and null spaces of proposed generalizations are investigated.•Algorithms for numeric and symbolic computation of generalized composite outer inverses are presented.•Numerical and symbolic examples are presented.

论文关键词:Outer inverse,Moore-Penrose inverse,Matrix equation,Generalized inverses

论文评审过程:Received 1 November 2021, Revised 21 December 2021, Accepted 3 April 2022, Available online 1 May 2022, Version of Record 1 May 2022.

论文官网地址:https://doi.org/10.1016/j.amc.2022.127155