References
- Ben-Israel A, Grevile TNE. Generalized inverses, theory and applications. 2nd ed. New York, Beflin, Heidelberg, Hong Kong, London, Milan, Paris, Tokyo: Canadian Mathematical Society, Springer; 2003.
- Penrose R. A generalized inverse for matrices. Proc Cambridge Philos Soc. 1955;51:406–413.
- Drazin MP. Pseudo-inverses in associate rings and semigroups. Am Math Monthly. 1958;65:506–514.
- King C. A note on Drazin inverses. Pacific J Math. 1977;70:383–390.
- Mosić D. Generalized inverses, Faculty of Sciences and Mathematics, University of Niš, 2018.
- Prasad KM, Mohana KS. Core–EP inverse. Linear Multilinear Algebra. 2014;62(6):792–802.
- Mosić D. Weighted core–EP inverse of an operator between Hilbert spaces. Linear Multilinear Algebra. 2019;67(2):278–298.
- Mosić D, Djordjević DS. The gDMP inverse of Hilbert space operators. J Spectr Theory. 2018;8(2):555–573.
- Gao Y, Chen J. Pseudo core inverses in rings with involution. Commun Algebra. 2018;46(1):38–50.
- Baksalary OM, Trenkler G. Core inverse of matrices. Linear Multilinear Algebra. 2010;58(6):681–697.
- Rakić DS, Č. Dinčić N, Djordjević DS. Core inverse and core partial order of Hilbert space operators. Appl Math Comput. 2014;244:283–302.
- Behera R, Maharana G, Sahoo JK. Further results on weighted core-EP inverse of matrices. Results Math. 2020;75:174. https://doi.org/https://doi.org/10.1007/s00025-020-01296-z.
- Benítez J, Boasso E, Xu SZ. On the continuity and differentiability of the (dual) core inverse in C*-algebras. Linear Multilinear Algebra. 2020;68(4):686–709.
- Ferreyra DE, Levis FE, Thome N. Revisiting the core EP inverse and its extension to rectangular matrices. Quaest Math. 2018;41(2):265–281.
- Kyrchei II. Determinantal representations of the core inverse and its generalizations with applications. J Math. 2019;2019:1631979.
- Kyrchei II. Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations. Revista Real Acad Ciencias Exactas, Físicas Naturales Serie A Matemáticas. 2020;114:198. https://doi.org/https://doi.org/10.1007/s13398-020-00930-3.
- Ma H, Stanimirović PS. Characterizations, approximation and perturbations of the core-EP inverse. Appl Math Comput. 2019;359:404–417.
- Sahoo JK, Behera R, Stanimirović PS, et al. Core and core-EP inverses of tensors. Comput Appl Math. 2020;39:1–28. https://doi.org/https://doi.org/10.1007/s40314-019-0983-5 .
- Wang HX. Core-EP decomposition and its applications. Linear Algebra Appl. 2016;508:289–300.
- Zhou MM, Chen JL, Li TT, et al. Three limit representations of the core-EP inverse. Filomat. 2018;32:5887–5894.
- Zhou MM, Chen JL, Thome N. Characterizations and perturbation analysis of a class of matrices related to core-EP inverses. J Comput Appl Math. 2021;393:113496.
- Zhu H, Patrício P. Characterizations for pseudo core inverses in a ring with involution. Linear Multilinear Algebra. 2019;67(6):1109–1120.
- Zou H, Chen JL, Patrício P. Reverse order law for the core inverse in rings. Mediterr J Math. 2018;15:145. https://doi.org/https://doi.org/10.1007/s00009-018-1189-6.
- Mitra SK, Bhimasankaran P, Malik SB. Matrix partial orders, shorted operators and applications. New Jersey: World Scientific Publishing Company; 2010.
- Dolinar G, Kuzma B, Marovt J, et al. Properties of core-EP order in rings with involution. Front Math China. 2019;14(4):715–736.
- Gao Y, Chen J, Ke Y. *-DMP elements in * -semigroups and *-rings. Filomat. 2018;32:3073–3085.
- Mosić D. Weighted core–EP inverse and weighted core-EP pre-orders in a C∗-algebra. J Austral Math Soc. 2021;111(1):76–110.
- Hestenes MR. Relative Hermitian matrices. Pacific J Math. 1961;11:224–245.
- Hartwig RE, Styan GPH. On some characterizations of the star partial ordering for matrices and rank subtractivity. Linear Algebbra Appl. 1986;82:145–161.
- Ferreyra DE, Malik S. Core and strongly core orthogonal matrices. Linear Multilinear Algebra. 2021. https://doi.org/https://doi.org/10.1080/03081087.2021.1902923.
- Castro González N, Koliha JJ. New additive results for the g-Drazin inverse. Proc R Soc Edinburgh Sect A. 2004;134:1085–1097.
- Marovt J, Mosić D. On some orders in *-rings based on the core-EP decomposition. J Algebra Appl. 2020. https://doi.org/https://doi.org/10.1142/S0219498822500104.