48 citations · 183 across the 27 of their papers we have counts for
17 papers · 1 filter
Dual Core-EP Generalized Inverse and Decomposition
Bibekananda Sitha, Jajati Keshari Sahoo, Nestor Thome
In this work, we introduce a new type of generalized inverse called dual core-EP generalized inverse (in short DCEPGI) for dual square matrices. We analyze the existence and unique…
Two-step parameterized tensor-based iterative methods for solving
Ratikanta Behera, Saroja Kumar Panda, Jajati Keshari Sahoo
Iterative methods based on tensors have emerged as powerful tools for solving tensor equations, and have significantly advanced across multiple disciplines. In this study, we propo…
Computation of -QDR decomposition of tensors and applications
Krushnachandra Panigrahy, Biswarup Karmakar, Jajati Keshari Sahoo +2
The theory and computation of tensors with different tensor products play increasingly important roles in scientific computing and machine learning. Different products aim to prese…
-QR decomposition and hyperpower iterative methods for computing outer inverses of tensors
Ratikanta Behera, Krushnachandra Panigrahy, Jajati Keshari Sahoo +1
The outer inverse of tensors plays increasingly significant roles in computational mathematics, numerical analysis, and other generalized inverses of tensors. In this paper, we com…
Computation of tensors generalized inverses under -product and applications
Jajati Keshari Sahoo, Saroja Kumar Panda, Ratikanta Behera +1
This paper introduces notions of the Drazin and the core-EP inverses on tensors via M-product. We propose a few properties of the Drazin and core-EP inverses of tensors, as well as…
G-Drazin inverse combined with inner inverse
G. Maharanaa, J. K. Sahooa, Nestor Thome
This paper introduces new classes of generalized inverses for square matrices named GD1, and the dual, called 1GD inverse. In addition, we discuss a few characterizations and repre…
Characterizations of Weighted Generalized Inverses
Bibekananda Sitha, Ratikanta Behera, Jajati Keshari Sahoo +2
The main objective of this paper is to introduce unique representations and characterizations for the weighted core inverse of matrices. We also investigate various properties of t…
Computing Tensor Generalized bilateral inverses
Ratikanta Behera, Jajati Keshari Sahoo, Predrag S. Stanimirovic +2
We introduce tensor generalized bilateral inverses (TGBIs) under the Einstein tensor product as an extension of generalized bilateral inverses (GBIs) in the matrix environment. Mor…
Computation of outer inverse of tensors based on -product
Ratikanta Behera, Jajati Keshari Sahoo, Yimin Wei
Tensor operations play an essential role in various fields of science and engineering, including multiway data analysis. In this study, we establish a few basic properties of the r…
Further results on weighted core-EP inverse of matrices
Ratikanta Behera, Gayatri Maharana, Jajati Keshari Sahoo
In this paper, we introduce the notation of -weighted core-EP and -weighted dual core-EP inverse of matrices. We then obtain a few explicit expressions for the weighted core-…
Regularized Iterative Method for Ill-posed Linear Systems Based on Matrix Splitting
Ashish Kumar Nandi, Jajati Keshari Sahoo
In this paper, the concept of matrix splitting is introduced to solve a large sparse ill-posed linear system via Tikhonov's regularization. In the regularization process, we conver…
Characterization and Representation of Weighted Core Inverse of Matrices
Ratikanta Behera, Jajati Keshari Sahoo, Ram N. Mohapatra
In this paper, we introduce new representation and characterization of the weighted core inverse of matrices. Several properties of these inverses and their interconnections with o…
Reverse-order law for core inverse of tensors
Jajati Kesahri Sahoo, Ratikanta Behera
The notion of the core inverse of tensors with the Einstein product was introduced, very recently. This paper we establish some sufficient and necessary conditions for reverse-orde…
Core and Core-EP Inverses of Tensors
Jajati Kesahri Sahoo, Ratikanta Behera, Predrag S. Stanimirovic +2
Specific definitions of the core and core-EP inverses of complex tensors are introduced. Some characterizations, representations and properties of the core and core-EP inverses are…
Further results on the Drazin inverse of even-order tensors
Ratikanta Behera, Ashish Kumar Nandi, Jajati Keshari Sahoo
The notion of the Drazin inverse of an even-order tensor with the Einstein product was introduced, very recently [J. Ji and Y. Wei. Comput. Math. Appl., 75(9), (2018), pp. 3402-341…
Generalized Inverses of Boolean Tensors via Einstein Product
Ratikanta Behera, Jajati Keshari Sahoo
Applications of the theory and computations of boolean matrices are of fundamental importance to study a variety of discrete structural models. But the increasing ability of data c…
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…