Geodesic
The MP weak group inverse and its application
Filomat, Tome 36 (2022) no. 18, p. 6085

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DOI

In this paper, we introduce a new generalized inverse, called MPWG inverse of a complex square matrix. We investigate characterizations, representations, and properties for this new inverse. Then, by using the core-EP decomposition, we discuss the relationships between MPWG inverse and other generalized inverses. A variant of the successive matrix squaring computational iterative scheme is given for calculating the MPWG inverse. The Cramer rule for the solution of a singular equation Ax = b is also presented. Moreover, the MPWG inverse being used in solving appropriate systems of linear equations is established. Finally, we analyze the MPWG binary relation.
DOI : 10.2298/FIL2218085W
Classification : 15A09, 15A24, 15A29
Keywords: MPWG inverse, Weak group inverse, Core-EP decomposition 
Congcong Wang; Xiaoji Liu; Hongwei Jin. The MP weak group inverse and its application. Filomat, Tome 36 (2022) no. 18, p. 6085 . doi: 10.2298/FIL2218085W
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     author = {Congcong Wang and Xiaoji Liu and Hongwei Jin},
     title = {The {MP} weak group inverse and its application},
     journal = {Filomat},
     pages = {6085 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218085W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218085W/}
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