60 citations · 219 across the 21 of their papers we have counts for
22 papers
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…
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…
Enhancing accuracy with an adaptive discretization for the non-local integro-partial differential equations involving initial time singularities
Sudarshan Santra, Ratikanta Behera
This work aims to construct an efficient and highly accurate numerical method to address the time singularity at involved in a class of time-fractional parabolic integro-part…
GD1 inverse and 1GD inverse for Hilbert space operators
Jajati Keshari Sahoo, Prdeep Boggarapu, Ratikanta Behera +1
Mosic and Djordjevic introduced the notation of the gDMP inverse for Hilbert space operators in [J. Spectr. Theory, 8(2):555-573, 2018] by considering generalized Drazin inverse wi…
Characterizations of weighted (b,c) inverse
Bibekananda Sitha, Jajati Keshari Sahoo, Ratikanta Behera
The notion of weighted -inverse of an element in rings were introduced, very recently [Comm. Algebra, 48 (4) (2020): 1423-1438]. In this paper, we further elaborate on this…
Computation of Generalized Inverses of Tensors via -Product
Ratikanta Behera, Jajati Keshari Sahoo, R. N. Mohapatra +1
Generalized inverses of tensors play increasingly important roles in computational mathematics and numerical analysis. It is appropriate to develop the theory of generalized invers…
Further results on weighted core inverse in a ring
Sourav Das, Jajati Keshari Sahoo, Ratikanta Behera
The notion of the weighted core inverse in a ring with involution was introduced, recently [Mosic et al. Comm. Algebra, 2018; 46(6); 2332-2345]. In this paper, we explore new repre…
Generalized Core Inverse in a proper -ring
Jajati Keshari Sahoo, Ratikanta Behera, Sourav Das +2
In this paper, we introduce the notion of weak core and central weak core inverse in a {\it proper -ring}. We further elaborate on these two classes by producing a few represent…
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-…
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…
Weighted Moore-Penrose inverses of arbitrary-order tensors
Ratikanta Behera, Sandip Maji, R. N. Mohapatra
Within the field of multilinear algebra, inverses and generalized inverses of tensors based on the Einstein product have been investigated over the past few years. In this paper, w…
Reverse order law for the Moore-Penrose inverses of tensors
Krushnachandra Panigrahy, Ratikanta Behera, Debasisha Mishra
Reverse order law for the Moore-Penrose inverses of tensors are useful in the field of multilinear algebra. In this paper, we first prove some more identities involving the Moore-P…
Further results on generalized inverses of tensors via the Einstein product
Ratikanta Behera, Debasisha Mishra
The notion of the Moore-Penrose inverse of tensors with the Einstein product was introduced, very recently. In this paper, we further elaborate this theory by producing a few chara…