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Schur complement with two scalings - #95

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blegat merged 2 commits into
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bl/two_sided_schur
Oct 31, 2026
Merged

blegat merged 2 commits into
mainfrom
bl/two_sided_schur

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@blegat

@blegat blegat commented Oct 31, 2026 •

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Generalize H[j, k] = ⟨Aⱼ, W Aₖ W⟩ to ⟨Aⱼ, L Aₖ R⟩ for symmetric L and R so that the Helmberg-Kojima-Monteiro direction (L = S⁻¹, R = X) can be used in addition to Nesterov-Todd (L = R = W). The methods taking a single W are kept as the special case L = R = W.

Needed for blegat/MadSDP.jl#7

Generalize H[j, k] = ⟨Aⱼ, W Aₖ W⟩ to ⟨Aⱼ, L Aₖ R⟩ for symmetric L and R
so that the Helmberg-Kojima-Monteiro direction (L = S⁻¹, R = X) can be
used in addition to Nesterov-Todd (L = R = W). The methods taking a
single W are kept as the special case L = R = W.
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codecov Bot commented Oct 31, 2026 •

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Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 99.56%. Comparing base (23fac92) to head (1d04329).

Additional details and impacted files
@@           Coverage Diff           @@
##             main      #95   +/-   ##
=======================================
  Coverage   99.55%   99.56%           
=======================================
  Files          29       29           
  Lines        1792     1828   +36     
=======================================
+ Hits         1784     1820   +36     
  Misses          8        8           

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@blegat
blegat merged commit 9e85117 into main Oct 31, 2026
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