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20032026
most citedComplete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity

30 citations · 416 across the 73 of their papers we have counts for

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Showing 2023 · math.CAShow all

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math.CA2023

Matrix positivity preservers in fixed dimension. II: positive definiteness and strict monotonicity of Schur function ratios

Alexander Belton, Dominique Guillot, Apoorva Khare +1

We continue the study of real polynomials acting entrywise on matrices of fixed dimension to preserve positive semidefiniteness, together with the related analysis of order propert…

math.CA2023★ 1 cited

Negativity-preserving transforms of tuples of symmetric matrices

Alexander Belton, Dominique Guillot, Apoorva Khare +1

Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obta…