JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 16-19.doi: 10.6040/j.issn.1671-9352.0.2023.312
LI Tingting1, GAO Yuefeng2, KE Yuanyuan3*
CLC Number:
| [1] KOLIHA J J, PATRICIO P. Elements of rings with equal spectral idempotents[J]. Journal of the Australian Mathematical Society, 2002, 72(1):137-152. [2] MOSIC D, DJORDJEVIC D S, KOLIHA J J. EP elements in rings[J]. Linear Algebra and Its Applications, 2009, 431(5/6/7):527-535. [3] MOSIC D, DJORDJEVIC D S. Further results on partial isometries and EP elements in rings with involution[J]. Mathematical and Computer Modelling, 2011, 54(1/2):460-465. [4] PATRICIO P, PUYSTJENS R. Drazin-Moore-Penrose invertiblity in rings[J]. Linear Algebra and Its Applications, 2004, 389:159-173. [5] RAKIC D S, DINCIC N C, DJORDJEVIC D S. Group, Moore-Penrose, core and dual core inverse in rings with involution[J]. Linear Algebra and Its Applications, 2014, 463:115-133. [6] HARTWIG R E, SPINDELBOCK K. Matrices for which A* and A† commmute[J]. Linear and Multilinear Algebra, 1984, 14(3):241-256. [7] 严佳萌,陈轩,魏俊潮. *-环上的扭可逆元[J]. 扬州大学学报(自然科学版),2022,25(1):1-3. YANJiameng, CHEN Xuan, WEI Junchao. Twist invertible elements in *-rings[J]. Journal of Yangzhou University(Natural Science Edition), 2022, 25(1):1-3. [8] 李金,王龙,魏俊潮. SEP矩阵的性质[J]. 扬州大学学报(自然科学版),2023, 26(2):1-5. LI Jin, WANG Long, WEIJunchao. Researches of SEP matrices[J]. Journal of Yangzhou University(Natural Science Edition), 2023, 26(2):1-5. [9] 官梦鸽,周海楠,魏俊潮. EP元的一些等价刻画[J]. 山东大学学报(理学版),2023, 58(8):1-5. GUANMengge, ZHOU Hainan, WEI Junchao. Some equivalent characterizations on EP elements[J]. Journal of Shandong University( Natural Science), 2023, 58(8):1-5. [10] MOSIC D. Generalized inverses[M]. Nis, Serbia: University of Nis, 2018. |
| [1] | WANG Ran, YU Weiyan. Numerical range of Moore-Penrose inverses of a combination of two orthogonal projections [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(5): 100-106. |
| [2] | LIANG Jiahui, WANG Long, WEI Junchao. Characterizing SEP elements based on generalized inverse elements in rings with involution [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(12): 11-18. |
| [3] | Mengge GUAN,Hainan ZHOU,Junchao WEI. Some equivalent characterizations on EP elements [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(8): 13-17. |
| [4] | CHENG Yang, CUI Yu-ru. Weak core inverse of core-EP decomposition [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(3): 19-24. |
| [5] | SHI Zhang-lei, LI Wei-guo. A† graded hard thresholding pursuit algorithm [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(8): 58-64. |
| [6] | LUO Gao-jun, ZHOU Liang, ZUO Ke-zheng. Some new characterizations of generalized and hypergeneralized projectors [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 43-48. |
| [7] | LI Jing, HE Cheng-yuan. A fast algorithm for finding the inverse and generlized inverse of the first and the last difference circulant matrices [J]. J4, 2013, 48(6): 96-99. |
| [8] | XU Jun-lian1,2. Solutions to the operator equation AXB*-BX*A*=C [J]. J4, 2012, 47(4): 47-52. |
| [9] | WU Shu-xia, LIU Xiao-ji*. Reverse order laws for generalized inverse in C*-algebras [J]. J4, 2011, 46(4): 82-85. |
| [10] | YUAN Wan-gui, KONG Xiang-zhi. Weighted Moore-Penrose inverses on rings [J]. J4, 2011, 46(12): 55-59. |
| [11] | TIAN Xue-gang, WANG Shao-ying. Solutions to the operator equation AXB=C [J]. J4, 2010, 45(6): 74-80. |
| [12] | WANG Hong-xing1,2, LIU Xiao-ji3. The weighted Moore-Penrose inverse over integral domains [J]. J4, 2010, 45(10): 9-14. |
| [13] | . The necessary and sufficient condition for the existence of limit lim λ→0 Y(λI+AY)-1 [J]. J4, 2009, 44(6): 10-13. |
| [14] | SONG Cai-Qin, DIAO Jian-Li, WANG Xiao-Dong. Reverse order law for the weighted Moore-Penrose inverse of a triple left matrix semitensor product [J]. J4, 2009, 44(10): 80-86. |
|
||