References
- Abraham R, Marsden JE, Ratiu T Manifolds, tensor analysis and applications. 1st ed. New York: Springer-Verlag; 1988; 2nd ed. New York: Springer-Verlag; 2002.
- Huang Q, Ma J. Perturbation analysis of generalized inverses of linear operators in Banach spaces. Linear Algebra Appl. 2004;289:355–364. doi: https://doi.org/10.1016/j.laa.2004.04.011
- Ben-Israel A, Greville TNE. Generalized inverses: theory and applications. 1st ed. New York: Wiley; 1974; 2nd ed. New York: Springer-Verlag; 2003.
- Campbell SL, Meyer CD. Generalized inverses of linear transformations. London: Pitman; 1979.
- Cvetković-Ilić D, Wei Y. Algebraic properties of generalized inverses. Singapore: Springer; 2017.
- Nashed MZ, editor. Generalized inverses and applications. New York: Academic Press; 1976.
- Xue Y. Stable perturbations of operators and related topics. Singapore: World Scientific; 2012.
- Benítez J, Boasso E, Xu S. On the continuity and differentiability of the (dual) core inverse in C*-algebras. Linear Multilinear Algebra. 2020;69:686–709. doi: https://doi.org/10.1080/03081087.2018.1516187
- Benítez J, Cvetković-Ilić D, Liu X. On the continuity of the group inverse in C∗-algebras. Banach J Math Anal Appl. 2014;8:204–213. doi: https://doi.org/10.15352/bjma/1396640064
- Castro-González N, Vélez-Cerrada J. On the perturbation of the group generalized inverse for a class of bounded operators in Banach spaces. J Math Anal Appl. 2008;341:1213–1223. doi: https://doi.org/10.1016/j.jmaa.2007.10.066
- Deng C, Liu R, Wang X. Expression for the multiplicative perturbation of the Moore-Penrose inverse. Linear Multilinear Algebra. 2018;66:1171–1185. doi: https://doi.org/10.1080/03081087.2017.1344182
- Deng C, Wei Y. Further results on the Moore-Penrose invertibility of projectors and its applications. Linear Multilinear Algebra. 2012;60:109–129. doi: https://doi.org/10.1080/03081087.2011.574625
- Ding J. On the expression of generalized inverses of perturbed bounded linear operators. Missouri J Math Sci. 2003;15:40–47. doi: https://doi.org/10.35834/2003/1501040
- Du F, Xue X. The perturbation of the group inverse under the stable perturbation in a unital ring. Filomat. 2013;27:65–74. doi: https://doi.org/10.2298/FIL1301065D
- Gao Y, Chen J, Patrício P. Continuity of the core-EP inverse and its applications. Linear Multilinear Algebra. 2019; doi:https://doi.org/10.1080/03081087.2019.1608899.
- Huang Q, Chen S, Guo Z, Zhu L. Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces. Int J Comput Math. 2019;96:1943–1956. doi: https://doi.org/10.1080/00207160.2018.1543869
- Huang Q, Zhu L, Jiang Y. On the stable perturbation of outer inverses of linear operators in Banach spaces. Linear Algebra Appl. 2012;437:1942–1954. doi: https://doi.org/10.1016/j.laa.2012.05.004
- Huang Q, Zhu L, Wu B. A note on the Hyers–Ulam stability constants of closed linear operators. Filomat. 2015;29:909–915. doi: https://doi.org/10.2298/FIL1504909H
- Li X, Wei Y. An improvement on the perturbation of the group inverse and oblique projection. Linear Algebra Appl. 2001;338:53–66. doi: https://doi.org/10.1016/S0024-3795(01)00369-X
- Patrício P, Costa A. On the Drazin index of regular elements. Central Euro J Math. 2009;7:200–205.
- Wei Y. Acute perturbation of the group inverse. Linear Algebra Appl. 2017;534:135–157. doi: https://doi.org/10.1016/j.laa.2017.08.009