M. Kannan

activity

20142026

most citedOn weakly irreducible nonnegative tensors and interval hull of some classes of tensors

10 citations · 39 across the 21 of their papers we have counts for

collaborators

Showing 2020Show all

8 papers · 1 filter

math.RA2020

Interval hulls of $N$ -matrices and almost $P$ -matrices

Projesh Nath Choudhury, M. Rajesh Kannan

We establish a characterization of almost $P$ -matrices via a sign non-reversal property. In this we are inspired by the analogous results for $N$ -matrices. Next, the interval hull…

math.CO2020

Normalized Laplacians for Gain Graphs

M. Rajesh Kannan, Navish Kumar, Shivaramakrishna Pragada

We propose the notion of normalized Laplacian matrix $L (Φ)$ for a gain graphs and study its properties in detail, providing insights and counterexamples along the way. We…

math.CO2020

On the $A_{α}$ -spectra of some join graphs

Mainak Basunia, Iswar Mahato, M. Rajesh Kannan

Let $G$ be a simple, connected graph and let $A (G)$ be the adjacency matrix of $G$ . If $D (G)$ is the diagonal matrix of the vertex degrees of $G$ , then for every real $α \in [0, 1]$ ,…

math.RA2020★ 7 cited

Sign non-reversal property for totally non-negative and totally positive matrices, and testing total positivity of their interval hull

Projesh Nath Choudhury, M. Rajesh Kannan, Apoorva Khare

A matrix $A$ is totally positive (or non-negative) of order $k$ , denoted $T P_{k}$ (or $T N_{k}$ ), if all minors of size $\leq k$ are positive (or non-negative). It is well-known that su…

math.FA2020

Bounds for a solution set of linear complementarity problems over Hilbert spaces

Projesh Nath Choudhury, M. Rajesh Kannan, K. C. Sivakumar

Let $H$ be a real Hilbert space. In this short note, using some of the properties of bounded linear operators with closed range defined on $H$ , certain bounds for a specific convex…

math.CO2020

Bounds for the energy of a complex unit gain graph

Aniruddha Samanta, M. Rajesh Kannan

A $T$ -gain graph, $Φ = (G, φ)$ , is a graph in which the function $φ$ assigns a unit complex number to each orientation of an edge, and its inverse is assigned to the opposi…

math.FA2020

On dense subsets of matrices with distinct eigenvalues and distinct singular values

Himadri Lal Das, M. Rajesh Kannan

It is well known that the set of all $n \times n$ matrices with distinct eigenvalues is a dense subset of the set of all real or complex $n \times n$ matrices. In [Hartfiel, D.…

math.CO2020

On the construction of cospectral graphs for the adjacency and normalized Laplacian matrices

M. Rajesh Kannan, Shivaramakrishna Pragada

In [Steve Butler. A note about cospectral graphs for the adjacency and normalized Laplacian matrices. Linear Multilinear Algebra, 58(3-4):387-390, 2010.], Butler constructed a fami…

Interval hulls of N-matrices and almost P-matrices

Normalized Laplacians for Gain Graphs

On the Aα​-spectra of some join graphs

Sign non-reversal property for totally non-negative and totally positive matrices, and testing total positivity of their interval hull

Bounds for a solution set of linear complementarity problems over Hilbert spaces

Bounds for the energy of a complex unit gain graph

On dense subsets of matrices with distinct eigenvalues and distinct singular values

On the construction of cospectral graphs for the adjacency and normalized Laplacian matrices

Interval hulls of $N$ -matrices and almost $P$ -matrices

On the $A_{α}$ -spectra of some join graphs