Geodesic
Condition numbers related to the core inverse of a complex matrix
Filomat, Tome 36 (2022) no. 11, p. 3785

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DOI

Under one-sided conditions, we establish explicit expressions for the condition numbers of the core inverse and the core inverse solution of a linear system, using Hartwig and Spindelböck's decomposition the spectral norm and the Frobenius norm. We also present the structured perturbation of the core inverse.
DOI : 10.2298/FIL2211785M
Classification : 15A06, 15A09, 65F20, 65F35
Keywords: condition number, core inverse, Hartwig and Spindelböck’s decomposition, perturbation, linear system 
Dijana Mosić. Condition numbers related to the core inverse of a complex matrix. Filomat, Tome 36 (2022) no. 11, p. 3785 . doi: 10.2298/FIL2211785M
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     author = {Dijana Mosi\'c},
     title = {Condition numbers related to the core inverse of a complex matrix},
     journal = {Filomat},
     pages = {3785 },
     year = {2022},
     volume = {36},
     number = {11},
     doi = {10.2298/FIL2211785M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211785M/}
}
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