3 papers
math.RA2025
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…
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.NA2023
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…