JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (3): 25-32.doi: 10.6040/j.issn.1671-9352.0.2022.262
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HUO Hui-min, SONG Xian-mei*, LI Ming-zhu
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| [1] BAKSALARY OM, TRENKLER G. Core inverse of matrices[J]. Linear and Multilinear Algebra, 2010, 58(5/6):681-697. [2] MANJUNATHA PRASAD K, MOHANA K S. Core-EP inverse[J]. Linear and Multilinear Algebra, 2014, 62(6):792-802. [3] RAKI(')/(C)D S, DIN(ˇ)/(C)I(')/(C)N(ˇ)/(C), DJORDJEVI(')/(C)N D S. Group, Moore-Penrose, core and dual core inverse in rings with involution[J]. Linear Algebra and Its Applications, 2014, 463:115-133. [4] GAO Yuefeng, CHEN Jianlong. Pseudo core inverses in rings with involution[J]. Communications in Algebra, 2018, 46(1):38-50. [5] MOSI(')/(C)D, DJORDJEVI(')/(C)D S. The gDMP inverse of Hilbert space operators[J]. Journal of Spectral Theory, 2018, 8(2):555-573. [6] ZHOU Mengmeng, CHEN Jianlong, LI Tingting, et al. Three limit representations of the core-EP inverse[J]. arXiv preprint arXiv: 1804.05206, 2018. [7] MOSI(')/(C)D, DJORDJEVI D. Core-EP inverse in rings with involution[J]. Publ Math Debrecen, 2020, 96(3/4):427-443. [8] MOSI(')/(C)D, DJORDJEVI D, STANIMIROVI(')/(C)D, et al. Generalization of core-EP inverse for rectangular matrices[J]. Journal of Mathematical Analysis and Applications, 2021, 500(1):125101. [9] CLINE R E. An application of representations for the generalized inverse of a matrix[R]. Madison: University of Wisconsin-Madison Mathematics. Research Center, 1965. [10] CASTRO-GONZÁLEZ N, MENDES-ARA(')/(U)D, DJORDJEVIJO C, et al. Generalized inverses of a sum in rings[J]. Bulletin of the Australian Mathematical Society, 2010, 82(1):156-164. [11] CVETKOVI(')/(C)-ILI(')/(C)D, HARTE R. On Jacobsons lemma and Drazin invertibility[J]. Applied Mathematics Letters, 2010, 23(4):417-420. [12] CORACH G, DUGGAL B, HARTE R. Extensions of Jacobsons lemma[J]. Communications in Algebra, 2013, 41(2):520-531. [13] ZENG Qingping, WU Zhenying, WEN Yongxian. New extensions of Clines formula for generalized inverses[J]. Filomat, 2017, 31(7):1973-1980. [14] YAN Kai, ZENG Qingping, ZHU Yucan. Generalized Jacobsons lemma for Drazin inverses and its applications[J]. Linear and Multilinear Algebra, 2020, 68(1):81-93. [15] ZHANG Xiaoxiang, CHEN Jianlong, WANG Long. Generalized symmetric*-rings and Jacobsons lemma for Moore-Penrose inverse[J]. Publications Mathematicae-Debrecen, 2017, 91(3/4):321-329. [16] SHI Guiqi, CHEN Jianlong, LI Tingting. Jacobsons lemma and Clines formula for generalized inverses in a ring with involution[J]. Communications in Algebra, 2020, 48(9):3948-3961. [17] KOLIHA J J, PATRICIO P. Elements of rings with equal spectral idempotents[J]. Journal of the Australian Mathematical Society, 2002, 72(1):137-152. [18] PENROSE R. A generalized inverse for matrices[C] //Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 1955, 51(3):406-413. |
| [1] | FAN Da-fu1,2, LI Chun-hong2. Some expressions of the generalized Drazin inverse of the 2×2 block operators in Banach space [J]. J4, 2012, 47(12): 88-95. |
| [2] | WANG Qiao,LIU Xiao-ji* . Characterization and perturbation of the generalized Drazin inverse for Banach space operators [J]. J4, 2008, 43(8): 42-45 . |
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