most citedEntrywise transforms preserving matrix positivity and non-positivity

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math.CA2026★ 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…

math.RA2025

Positivity preservers over finite fields

Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1

We resolve an algebraic version of Schoenberg's celebrated theorem [Duke Math.J., 1942] characterizing entrywise matrix transforms that preserve positive definiteness. Compared to…