Shaun Fallat

collaborators

3 papers

math.RA2026

Linear Preservers of Infinitely Divisible Matrices

Shaun Fallat, Samir Mondal

An infinitely divisible nonnegative matrix is an entry-wise nonnegative matrix that admits an entry-wise nonnegative $m$ th root, with respect to usual matrix multiplication, for ev…

math.GM2026

Variations on Majorization of Vectors and Connections to Determinantal Inequalities

Shaun Fallat, Samir Mondal, Hristo Sendov

Majorization is a fundamental tool for comparing vectors, with connections to convexity, doubly stochastic matrices, eigenvalues, singular values, and zeros of polynomials. In matr…

math.GM2024

Results on the generalized numerical ranges in max algebra

Narges Haj Aboutalebi, Shaun Fallat, Aljosa Peperko +2

Let $n$ and $k$ be two positive integers with $k \leq n$ and $C$ an $n \times n$ matrix with nonnegative entries. In this paper, the rank- $k$ numerical range in the max algebra sett…