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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 such that , where are scala…
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…