Sachindranath Jayaraman

activity

20182026

collaborators

17 papers

math.RA2026

On matrix polynomials and the joint spectral radius over max-algebras

Askar Ali M, Sachindranath Jayaraman

Our aim is to study matrix polynomials over max-algebras and their growth in terms of max-induced seminorms. In particular, we compare the set growth of a bounded family $Ψ$ of mat…

math.FA2025

Matrix-valued regular functions of a quaternionic variable - a decomposition and some approximation results

Sachindranath Jayaraman, T. P. Dhashna, Dhashna T. Pillai

A quaternionic matrix-valued regular function is a map $F : Ω \to M_{n} (H)$ whose entries are (left) regular functions of a quaternion variable, where $Ω$ is a domain…

math.RA2025

Simultaneous triangularization over max-algebras

Askar Ali M, Sachindranath Jayaraman, Himadri Mukherjee

The purpose of this article is to investigate triangularization and simultaneous triangularization of matrices over max algebras using graph theoretic methods. We establish a conne…

math.SP2024

Stability of quaternion matrix polynomials

Pallavi Basavaraju, Shrinath Hadimani, Sachindranath Jayaraman

A right quaternion matrix polynomial is an expression of the form $P (λ) = i = 0 \sum m A_{i} λ^{i}$ , where $A_{i}$ 's are $n \times n$ quaternion matrices with $A_{m} \neq = 0$ .…

math.SP2024

On coneigenvalues of quaternion matrices: location and perturbation

Pallavi Basavaraju, Shrinath Hadimani, Sachindranath Jayaraman

We derive some localization and perturbation results for coneigenvalues of quaternion matrices. In localization results, we derive Geršgorin type theorems for right and left coneig…

math.SP2023

Bounds on the moduli of eigenvalues of rational matrices

Pallavi Basavaraju, Shrinath Hadimani, Sachindranath Jayaraman

A rational matrix is a matrix-valued function $R (λ) : C \to M_{p}$ such that $R (λ) = [r_{ij} (λ)]_{p \times p}$ , where $r_{ij} (λ)$ are scala…

math.SP2023

Eigenvalue location of certain matrix polynomials

Pallavi B, Shrinath Hadimani, Sachindranath Jayaraman

It is known that a matrix polynomial with unitary matrix coefficients has its eigenvalues in the annular region $\frac{1}{2} < ∣ λ ∣ < 2$ . We prove in this short note that under cert…

math.SP2023

The Hoffman-Wielandt inequality for quaternion matrices and quaternion matrix polynomials

Pallavi Basavaraju, Shrinath Hadimani, Sachindranath Jayaraman

The purpose of this paper is to derive the Hoffman-Wielandt inequality and its generalization for quaternion matrices. Diagonalizability of the block companion matrix of certain qu…

math.SP2023

Spectral bounds for certain special type of rational matrices

Pallavi Basavaraju, Shrinath Hadimani, Sachindranath Jayaraman

The aim of this manuscript is to derive bounds on the moduli of eigenvalues of special type of rational matrices of the form $T(λ) = \displaystyle -B_0 +Iλ+\frac{B_1}{λ-α_1}+ \dots…

math.FA2022

Linear preservers of copositive and completely positive matrices

Sachindranath Jayaraman, Vatsalkumar N. Mer

The objective of this manuscript is to understand the structure of an invertible linear map on the space of real symmetric matrices $S^{n}$ that leaves invariant the closed…

math.SP2022

Hoffman-Wielandt type inequality for block companion matrices of certain matrix polynomials

Pallavi . B, Shrinath Hadimani, Sachindranath Jayaraman

Matrix polynomials with unitary/doubly stochastic coefficients form the subject matter of this manuscript. We prove that if $P (λ)$ is a quadratic matrix polynomial whose coefficien…

math.DS2021

Dynamics of Products of Matrices in Max Algebra

S. Jayaraman, Y. K. Prajapaty, S. Sridharan

The aim of this manuscript is to understand the dynamics of matrix products in a max algebra. A consequence of the Perron-Fröbenius theorem on periodic points of a nonnegative matr…

math.DS2020

Dynamics of products of nonnegative matrices

Sachindranath Jayaraman, Yogesh Kumar Prajapaty, Shrihari Sridharan

The aim of this manuscript is to understand the dynamics of products of nonnegative matrices. We extend a well known consequence of the Perron-Frobenius theorem on the periodic poi…

math.FA2019

On linear preservers of semipositive matrices

Sachindranath Jayaraman, Vatsalkumar N. Mer

Given proper cones $K_{1}$ and $K_{2}$ in $R^{n}$ and $R^{m}$ , respectively, an $m \times n$ matrix $A$ with real entries is said to be semipositive if there exists a $x…

math.CO2019

Distance Matrix of a Class of Completely Positive Graphs: Determinant and Inverse

Joyentanuj Das, Sachindranath Jayaraman, Sumit Mohanty

A real symmetric matrix $A$ is said to be completely positive if it can be written as $B B^{t}$ for some (not necessarily square) nonnegative matrix $B$ . A simple graph $G$ is called…

math.FA2018

Linear maps on $M_{n} (R)$ preserving Schur stable matrices

Chandrashekaran Arumugasamy, Sachindranath Jayaraman

An $n \times n$ matrix $A$ with real entries is said to be Schur stable if all the eigenvalues of $A$ are inside the open unit disc. We investigate the structure of linear maps on…

math.FA2018

A characterization of nonnegativity relative to proper cones

Chandrashekaran Arumugasamy, Sachindranath Jayaraman, Vatsalkumar N. Mer

Let $A$ be an $m \times n$ matrix with real entries. Given two proper cones $K_{1}$ and $K_{2}$ in $R^{n}$ and $R^{m}$ , respectively, we say that $A$ is nonnegative if $A…

On matrix polynomials and the joint spectral radius over max-algebras

Matrix-valued regular functions of a quaternionic variable - a decomposition and some approximation results

Simultaneous triangularization over max-algebras

Stability of quaternion matrix polynomials

On coneigenvalues of quaternion matrices: location and perturbation

Bounds on the moduli of eigenvalues of rational matrices

Eigenvalue location of certain matrix polynomials

The Hoffman-Wielandt inequality for quaternion matrices and quaternion matrix polynomials

Spectral bounds for certain special type of rational matrices

Linear preservers of copositive and completely positive matrices

Hoffman-Wielandt type inequality for block companion matrices of certain matrix polynomials

Dynamics of Products of Matrices in Max Algebra

Dynamics of products of nonnegative matrices

On linear preservers of semipositive matrices

Distance Matrix of a Class of Completely Positive Graphs: Determinant and Inverse

Linear maps on Mn​(R) preserving Schur stable matrices

A characterization of nonnegativity relative to proper cones

Linear maps on $M_{n} (R)$ preserving Schur stable matrices