3 papers
math.CO2026
Singular difference graphs of vector spaces of square matrices
Shrinath Hadimani
The singular difference graph, denoted by , of the vector space of square matrices over a field is a graph whose vertex set is the set of all elements of the vector space, where…
math.GM2026
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…
math.SP2024
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 .…