Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications

作者：

Highlights：

• Main properties and characterizations of the DMP inverse are presented.

• Corresponding representations and computational procedures are derived.

• Some perturbation bounds and continuity of the DMP inverse are studied.

• Necessary and sufficient conditions for the continuity of the DMP inverse are presented.

摘要

•Main properties and characterizations of the DMP inverse are presented.•Corresponding representations and computational procedures are derived.•Some perturbation bounds and continuity of the DMP inverse are studied.•Necessary and sufficient conditions for the continuity of the DMP inverse are presented.

论文关键词：DMP Inverse,Drazin inverse,Moore-Penrose inverse,Schur decomposition,Sign pattern,Cramer rule,Successive matrix squaring algorithm,Perturbation

论文评审过程：Received 17 June 2019, Revised 19 February 2020, Accepted 1 March 2020, Available online 2 April 2020, Version of Record 2 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125196