Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Mishra, Debasisha"'
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 reverse order law of the NDMPI is obtained. We also explore the appli
Externí odkaz:
http://arxiv.org/abs/2411.01294
Autor:
Be, Aaisha, Mishra, Debasisha
This article introduces the Hartwig-Spindelb\"{o}ck decomposition of dual complex matrices. We provide representations of some generalized inverses using this decomposition. Further, several characterizations are established for a complex matrix to b
Externí odkaz:
http://arxiv.org/abs/2410.21906
Publikováno v:
Benchmarking: An International Journal, 2023, Vol. 31, Issue 10, pp. 3459-3496.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/BIJ-03-2023-0160
Autor:
Kumar, Amit, Mishra, Debasisha
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 Drazin (WD) and weak Drazin Moore-Penrose (WDMP) inverses for elements
Externí odkaz:
http://arxiv.org/abs/2303.06651
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 GD inverses and introduce two new classes for square matrices called G
Externí odkaz:
http://arxiv.org/abs/2302.03445
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-Penrose inverse of an arbitrary-order tensor. We then define the notion
Externí odkaz:
http://arxiv.org/abs/2212.10832
Autor:
Kumar, Amit, Mishra, Debasisha
If $a$ and $b$ are a pair of invertible elements, then $ab$ is also invertible and the inverse of the product $ab$ satisfying $$(ab)^{-1}=a^{-1}b^{-1}$$ is known as the {\it forward-order law}. This article establishes a few sufficient conditions of
Externí odkaz:
http://arxiv.org/abs/2205.11909
Publikováno v:
In Linear Algebra and Its Applications 15 December 2024 703:627-644
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 first the notion of numerical range of a tensor via the $k$-mode product.
Externí odkaz:
http://arxiv.org/abs/2108.08154
Monotone matrices play a key role in the convergence theory of regular splittings and different types of weak regular splittings. If monotonicity fails, then it is difficult to guarantee the convergence of the above-mentioned classes of matrices. In
Externí odkaz:
http://arxiv.org/abs/2007.06047