60 citations · 155 across the 16 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
A note on numerical ranges of tensors
Nirmal Chandra Rout, Krushnachandra Panigrahy, Debasisha Mishra
Theory of numerical range and numerical radius for tensors is not studied much in the literature. In 2016, Ke {\it et al.} [Linear Algebra Appl., 508 (2016) 100-132] introduced fir…
Reverse-order law for weighted Moore--Penrose inverse of tensors
Krushnachandra Panigrahy, Debasisha Mishra
In this paper, we provide a few properties of the weighted Moore--Penrose inverse for an arbitrary order tensor via the Einstein product. We again obtain some new sufficient condit…
On reverse-order law of tensors and its application to additive results on Moore-Penrose inverse
Krushnachandra Panigrahy, Debasisha Mishra
The equality $(\mc{A}\n\mc{B})^\dagger = \mc{B}^\dagger \n \mc{A}^\dagger$ for any two complex tensors $\mc{A}$ and $\mc{B}$ of arbitrary order, is called as the {\it reverse-order…
An extension of the Moore-Penrose Inverse of a Tensor via the Einstein product
Krushnachandra Panigrahy, Debasisha Mishra
In this paper, we first give an expression for the Moore-Penrose inverse of the product of two tensors via the Einstein product. We then introduce a new generalized inverse of a te…
Reverse order law for the Moore-Penrose inverses of tensors
Krushnachandra Panigrahy, Ratikanta Behera, Debasisha Mishra
Reverse order law for the Moore-Penrose inverses of tensors are useful in the field of multilinear algebra. In this paper, we first prove some more identities involving the Moore-P…
Further results on generalized inverses of tensors via the Einstein product
Ratikanta Behera, Debasisha Mishra
The notion of the Moore-Penrose inverse of tensors with the Einstein product was introduced, very recently. In this paper, we further elaborate this theory by producing a few chara…