Pallavi Basavaraju

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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…