3 citations · 7 across the 7 of their papers we have counts for
7 papers
Hyper-dual group inverse: existence, characterizations, and applications
Tikesh Verma, Amit Kumar, Vaibhav Shekhar +1
Motivated by the recent work of Xiao and Zhong [AIMS Math. 9 (2024), 35125--35150: MR4840882], we propose a generalized inverse for a hyper-dual matrix called hyper-dual group gene…
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…
Additional results on convergence and semiconvergence of three-step alternating iteration scheme for singular linear systems
Vaibhav Shekhar, Punit Sharma
The three-step alternating iteration scheme for finding an iterative solution of a singular (non-singular) linear systems in a faster way was introduced by Nandi {\it et al.} [Nume…
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…
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…
Convergence of two-stage iterative scheme for -weak regular splittings of type II with application to Covid-19 pandemic model
Vaibhav Shekhar, Nachiketa Mishra, Debasisha Mishra
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 gua…
Alternating Stationary Iterative Methods Based on Double Splittings
Ashish Kumar Nandi, Nachiketa Mishra, Debasisha Mishra
Matrix double splitting iterations are simple in implementation while solving real non-singular (rectangular) linear systems. In this paper, we present two Alternating Double Split…