Characterizations, approximation and perturbations of the core-EP inverse

摘要

Several characterizations and representations for the core-EP inverse are presented and investigated. To that goal, several explicit bordering technique for characterizing and defining the core-EP inverse are analyzed. Also the matrix splitting method and the iterative successive matrix squaring algorithm for computing the core-EP inverse are investigated. The perturbation bounds related with the core-EP inverse are also estimated.