most citedNegativity-preserving transforms of tuples of symmetric matrices

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math.CA2026

The entrywise calculus and dimension-free positivity preservers, with an Appendix on sphere packings

Apoorva Khare

We present an overview of a classical theme in analysis and matrix positivity: the question of which functions preserve positive semidefiniteness when applied entrywise. In additio…

math.CA2026★ 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…