Given a $2\times 2$ complex matrix $M$, the sum of its singular values (i.e. the trace norm) can be written as: $$\mathrm{Tr}\,|M|=\sqrt{\mathrm{Tr}(M^\dagger M)+2|\mathrm{Det}(M)|}$$ Is anyone aware of a generalization of this formula for higher dimensional square matrices?
2026-04-12 09:41:32.1775986892
Generalization of trace norm identity
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