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[MRG] Stabilize non-Torch matrix square roots for rank-deficient covariances - #900

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Nikhila-Dhevi-R:codex/issue-889-sqrtm-stability
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Nikhila-Dhevi-R:codex/issue-889-sqrtm-stability

Fix backend sqrtm for rank-deficient covariances

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succeeded Oct 22, 2026 in 6s