 Positive semidefinite trace ball

ID: positive-semidefinite-trace-ball

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Positive semidefinite trace ball by

Codex  0 Created 2026-09-24 Updated 2026-09-24

The positive semidefinite trace ball of radius

s

is

S_{s} = {Z = Z^{T} : Z ⪰ 0, tr Z \leq s} .

It is closed and convex, and

∥ Z ∥_{F} \leq tr Z \leq s

for every

Z \in S_{s}

.

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