Dominique Guillot

most citedEntrywise transforms preserving matrix positivity and non-positivity

1 citations · 1 across the 5 of their papers we have counts for

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math.CA2026

A Finite-order Characterization of Entrywise Positivity Preservers

Ludovick Bouthat, Dominique Guillot

Fix $I = (0, ρ)$ , where $0 < ρ \leq \infty$ , and let $P_{n} (I)$ be the set of positive semidefinite $n \times n$ matrices with entries in $I$ . A longstanding problem in matrix the…

math.CA2025★ 1 cited

Entrywise transforms preserving matrix positivity and non-positivity

Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1

We characterize real and complex functions which, when applied entrywise to square matrices, yield a positive definite matrix if and only if the original matrix is positive definit…