The m-WG inverse in Minkowski space
Filomat, Tome 36 (2022) no. 4, p. 1125

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In this paper, we introduce the m-WG inverse in Minkowski space. Firstly, we show the existence and the uniqueness of the m-WG inverse. Secondly, we give representations of the m-WG inverse. Thirdly, we characterize the m-WG inverse by applying a bordered matrix. In addition, we extend the generalized Cayley-Hamilton theorem to the m-WG inverse matrix. Finally, we apply the m-WG inverse to solve linear equations in Minkowski space
DOI : 10.2298/FIL2204125W
Classification : 15A09, 15A24, 15A29
Keywords: Minkowski space, m-WG inverse, bordered matrix, generalized Cayley-Hamilton theorem
Hui Wu; Hongxing Wang; Hongwei Jin. The m-WG inverse in Minkowski space. Filomat, Tome 36 (2022) no. 4, p. 1125 . doi: 10.2298/FIL2204125W
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     author = {Hui Wu and Hongxing Wang and Hongwei Jin},
     title = {The {m-WG} inverse in {Minkowski} space},
     journal = {Filomat},
     pages = {1125 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204125W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204125W/}
}
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