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20162023
most citedFurther results on generalized inverses of tensors via the Einstein product

60 citations · 155 across the 16 of their papers we have counts for

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6 papers · 1 filter

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…

math.NA2020★ 1 cited

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…

math.NA2020★ 3 cited

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…

math.NA2018★ 2 cited

Three-step alternating iterations for index one matrices

Ashish Kumar Nandi, Jajati Keshari Sahoo, Debasisha Mishra

Iterative methods based on matrix splittings are useful in solving large sparse linear systems. In this direction, proper splittings and its several extensions are used to deal wit…

math.NA2016

Comparison results for proper multisplittings of rectangular matrices

Chinmay Kumar Giri, Debasisha Mishra

The least square solution of minimum norm of a rectangular linear system of equations can be found out iteratively by using matrix splittings. However, the convergence of such an i…

math.NA2016

Proper Weak Regular Splitting and its Application to Convergence of Alternating Iterations

Debasisha Mishra

The theory of matrix splitting is a useful tool for finding solution of rectangular linear system of equations, iteratively. The purpose of this paper is two-fold. Firstly, we revi…