15 citations · 17 across the 11 of their papers we have counts for
12 papers
Arithmetical Structures on Ladder Graphs
Namita Behera, Dilli Ram Chhetri, Raj Bhawan Yadav
In this paper, we investigate arithmetical structures on Cartesian product graphs, particularly, ladder graph of the form P2\square Pm and grid graph of the form Pn \square Pm. An…
Structured Linearizations of Structured Rational Matrices
Avisek Bist, Namita Behera
Numerical computations involving rational matrices often benefit from preserving underlying matrix structures such as symmetry, Hermitian properties, or sparsity that reflect physi…
Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis
Avisek Bist, Namita Behera
Given a quadratic two-parameter matrix polynomial in Newton basis , we construct a vector space of linear two-parameter matrix polynomials and identify a set of linear…
Arithmetical Structures On Fan Graphs
Dilli Ram Chhetri, Namita Behera, Raj Bhawan Yadav
In this paper, we study the arithmetical structures on Fan Graphs Fn. Let G be a finite and connected graph. An arithmetical structure on G is a pair (d, r) of positive integer vec…
Arithmetical Structures on Wheel Graphs
Bibhas Adhikari, Namita Behera, Dilli Ram Chhetri +1
An arithmetical structure on a finite and connected graph G is a pair (d, r) of positive integer vectors such that r is primitive (the gcd of its entries is 1) and (diag(d) - A)r =…
Vector Spaces of Linearizations for Multivariable State-Space Systems
Avisek Bist, Namita Behera
Consider a multivariable state space system and associated transfer function G(λ). The aim of this paper is to define and analyze two vector spaces of matrix pencils associated wit…
Cohomology and deformation of compatible Hom-Leibniz algebras
Rinkila Bhutia, RB Yadav, Namita Behera
In this paper, we consider compatible Hom-Leibniz algebra where the Hom map twists the operations in the compatible system. We consider a suitably graded Lie algebra whose Maurer-C…
Cohomology and deformations of compatible Leibniz algebras
RB Yadav, Rinkila Bhutia, Namita Behera
In this paper we study a cohomology theory of compatible Leibniz algebra. We construct a graded Lie algebra whose Maurer-Cartan elements characterize the structure of compatible Le…
Fiedler Linearizations of Multivariable State-Space System and its Associated System Matrix
Namita Behera, Avisek Bist
Linearization is a standard method in the computation of eigenvalues and eigenvectors of matrix polynomials. In the last decade a variety of linearization methods have been develop…
Equivariant cohomology, deformations and central extension of Hom Lie triple systems
Rinkila Bhutia, RB Yadav, Namita Behera
In this paper, we study equivariant cohomolgy theory of Hom Lie Triple Systems. Using this cohomology, we study 1-parameter formal deformation and central extensions of Hom Lie Tri…
Equivariant one-parameter deformations of Lie triple systems
RB Yadav, Namita Behera, Rinkila Bhutia
In this article, we introduce equivariant formal deformation theory of Lie triple systems. We introduce an equivariant deformation cohomology of Lie triple systems and using this w…
Linearizations for Rosenbrock system polynomials and rational matrix functions
Rafikul Alam, Namita Behera
Our aim in this paper is two-fold: First, for computing zeros of a linear time-invariant (LTI) system in {\em state-space form}, we introduce a "trimmed structured linearizatio…