6 papers · 1 filter
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…