3 papers
math.SP2025
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…
math.SP2025
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.SP2025
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}+ \…