6 papers
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 of ma…
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…
Maximum principles for matrix-valued regular functions of a quaternionic variable
Sachindranath Jayaraman, Dhashna T. Pillai
A quaternionic matrix-valued regular function is a map whose entries are (left) regular functions of a quaternion variable, where is a domai…
Stability of quaternion matrix polynomials
Pallavi Basavaraju, Shrinath Hadimani, Sachindranath Jayaraman
A right quaternion matrix polynomial is an expression of the form , where 's are quaternion matrices with $A_m \neq 0…
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…
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}+ \…