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20082024
most citedLinear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem

74 citations

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30 papers

math.RA2024

Reverse order law for NDMPI of dual matrices and its applications

Tikesh Verma, Amit Kumar, Debasisha Mishra

This manuscript establishes several sufficient conditions for the validity of both the reverse order law and forward order law for NDMPI. Additionally, some characterization of the…

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…

math.NA2022★ 2 cited

Numerical range for weighted Moore-Penrose inverse of tensor

Aaisha Be, Vaibhav Shekhar, Debasisha Mishra

This article first introduces the notion of weighted singular value decomposition (WSVD) of a tensor via the Einstein product. The WSVD is then used to compute the weighted Moore-P…

eess.SP2022★ 7 cited

Detection of High Impedance Faults in Microgrids using Machine Learning

Pallav Kumar Bera, Vajendra Kumar, Samita Rani Pani +1

This article presents differential protection of the distribution line connecting a wind farm in a microgrid. Machine Learning (ML) based models are built using differential featur…

math.RA2022★ 3 cited

On forward-order law for core inverse in rings

Amit Kumar, Debasisha Mishra

If and are a pair of invertible elements, then is also invertible and the inverse of the product satisfying is known as the {\it forwar…