References
- Hernández A, Lattanzi M, Thome N. On a partial order defined by the weighted Moore-Penrose inverse. Appl Math Comput. 2013;219(14):7310–7318.
- Ben-Israel A, Greville TNE. Generalized inverses: theory and applications. 2nd ed. New York (NY): Springer-Verlag; 2003.
- Campbell SL, Meyer CD. Generalized inverses of linear transformations. Philadelphia: SIAM; 2009.
- Wang G, Wei Y, Qiao S. Generalized inverses: theory and computations. Beijing: Springer; 2018.
- Herrero A, Ramírez FJ, Thome N. Relationships between different sets involving group and Drazin projectors and nonnegativity. Linear Algebra Appl. 2013;438(4):1688–1699.
- Campbell SL, Meyer CD. Weak Drazin inverses. Linear Algebra Appl. 1978;20:167–178.
- Wang HX, Liu XJ. Partial orders based on core-nilpotent decomposition. Linear Algebra Appl. 2016;488:235–248.
- Coll C, Lattanzi M, Thome N. Weighted G-Drazin inverses and a new pre-order on rectangular matrices. Appl Math Comput. 2018;317:12–24.
- Mosić D. Weighted G-Drazin inverse for operators on Banach spaces. Carpathian J Math. 2019;35(2):171–184.
- Rao CR, Mitra SK. Generalizaed inverse of matrices and its applications. New York (NY): John Wiley & Sons, Inc.; 1971.
- Baksalary OM, Trenkler G. Core inverse of matrices. Linear Multilinear Algebra. 2010;58(6):681–697.
- Wang HX, Liu XJ. Characterizations of the core inverse and the partial ordering. Linear Multilinear Algebra. 2015;63(9):1829–1836.
- Malik SB, Thome N. On a new generalized inverse for matrices of an arbitrary index. Appl Math Comput. 2014;226:575–580.
- Cvetković-Ilić DS, Milosevic J. Reverse order laws for 1, 3-generalized inverses. Linear Multilinear Algebra. 2019;0:00–0.
- Chen JL, Zhu HH, Patrício P, et al. Characterizations and representations of core and dual core inverses. Canadian Math Bullet. 2017;60(2):269–282.
- Zuo KZ, Cvetković-Ilić D, Cheng YJ. Different characterizations of DMP-inverse of matrices. Linear Multilinear Algebra. DOI: 10.1080/03081087.2020.1729084.
- Zhu HH. On DMP inverses and m-EP elements in rings. Linear Multilinear Algebra. 2018;67(4):1–11.
- Zhou MM, Chen JL, Stanimirovic PS, et al. Complex varying-parameter Zhang neural networks for computing core and core-EP inverse. Neural Process Lett. 2020;51(2):1299–1329.
- Mosić D. Drazin-star and star-Drazin matrices. Results in Math. 2020;75(2):00–00.
- Ferreyra DE, Levis FE, Thome N. Maximal classes of matrices determining generalized inverses. Appl Math Comput. 2018;333:42–52.
- Ferreyra DE, Levis FE, Thome N. Characterizations of k-commutative equalities for some outer generalized inverses. Linear Multilinear Algebra. 2020;68(1):177–192.
- Mehdipour M, Salemi A. On a new generalized inverse of matrices. Linear Multilinear Algebra. 2018;66(5):1046–1053.
- Mitra SK, Bhimasankaram P, Malik S. Matrix partial orders, shorted operators and applications. New Jersey: World Scientific Publishing Company; 2010.
- Hartwig RE, Spindleböck K. Matrices for which A* and A† commute. Linear Multilinear Algebra. 1984;14:241–256.
- Baksalary OM, Styan GPH, Trenkler G. On a matrix decomposition of Hartwig and Spindelböck. Linear Algebra Appl. 2009;430:2798–2812.
- Ferreyra DE, Lattanzi M, Levis FE, et al. Parametrized solutions X of the system AXA = AEA and AkEAX = XAEAk for a matrix A having index k. Electron J Linear Algebra. 2019;35:503–510.