3 papers
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.OC2026
Determinant Bounds for -Locally Positive Semidefinite Matrices
Shaun Fallat, Samir Mondal, Hristo Sendov
In this framework, the extremal case corresponds to the tightest nontrivial relaxation in this hierarchy, in which every proper principal submatrix is constrained to be positive se…
math.RT2025
Linear Preservers of Real Matrix Classes Admitting a Real Logarithm
Shaun Fallat, Samir Mondal
In real Lie theory, matrices that admit a real logarithm reside in the identity component of the general linear group , wit…