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math.RA2023
Dual Drazin generalized inverse for dual matrices
Amit Kumar, Vaibhav Shekhar
This manuscript proposes a generalized inverse for a dual matrix called dual Drazin generalized inverse (DDGI) which generalizes the notion of the dual group generalized inverse (D…
math.RA2023
On WD and WDMP generalized inverses in rings
Amit Kumar, Debasisha Mishra
Motivated by the very recent work of Gao, Y., Chen, J., Wang, J., Zou, H. [Comm. Algebra, 49(8) (2021) 3241-3254; MR4283143], we introduce two new generalized inverses named weak D…
math.RA2023★ 1 cited
On generalized-Drazin inverses and GD-star matrices
Amit Kumar, Vaibhav Shekhar, Debasisha Mishra
Motivated by the works of Wang and Liu [Linear Algebra Appl., 488 (2016) 235-248; MR3419784] and Mosic [Results Math., 75(2) (2020) 1-21; MR4079761], we provide further results on…