Geodesic
The weak group-star matrix
Filomat, Tome 37 (2023) no. 23, p. 7919

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DOI

In this paper, we introduce one type of matrix, called the weak group-star matrix. We investigate the characterizations, representations, and properties of the matrix. A variant of the successive matrix squaring computational iterative scheme is given for calculating the weak group-star matrix. Moreover, the Cramer's rule for the solution of a singular equation (A †) * x = b is presented. Then, the perturbation is also given for the weak group-star matrix. In the final, the weak group-star matrix being used in solving appropriate systems of linear equations is established.
DOI : 10.2298/FIL2323919Y
Classification : 15A09, 15A24
Keywords: weak group-star matrix, successive matrix squaring computational iterative scheme, perturbation 
Jiaxuan Yao; Hongwei Jin; Xiaoji Liu. The weak group-star matrix. Filomat, Tome 37 (2023) no. 23, p. 7919 . doi: 10.2298/FIL2323919Y
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     title = {The weak group-star matrix},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
     number = {23},
     doi = {10.2298/FIL2323919Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2323919Y/}
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