S. Mondal

collaborators

6 papers

math.FA2026

Bounds on the Minimum Eigenvalue Modulus for Hadamard Products of $M$ - and $H$ -Matrices and Their Inverses

Bharat Pratap Chauhan, Samir Mondal, Sushmitha P

The quantity $q (A \circ A^{- 1})$ , the minimum modulus of the eigenvalues of $A \circ A^{- 1}$ , arises naturally in connection with positive diagonal symmetrizability. For an invertibl…

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.FA2026

Powers, Roots, and Positivity

Charles R Johnson, Samir Mondal, Michael J. Tsatsomeros

There is a remarkable variety of natural generalizations of the notion of scalar positivity to square matrices. The lists and tables indicate those that we consider here; they are…

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 $(n - 1)$ -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