6 papers
Vieta-Type Formulas for Matrix Polynomials
Shrinath Hadimani
The classical Vieta formulas relate the coefficients of a complex scalar polynomial to the elementary symmetric polynomials of its roots. In this paper, we establish analogous spec…
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}+ \…
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 GerÅ¡gorin type theorems for right and left conei…
Bounds on the moduli of eigenvalues of rational matrices
Pallavi Basavaraju, Shrinath Hadimani, Sachindranath Jayaraman
A rational matrix is a matrix-valued function such that , where are s…