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Compute transform of hnf_with_transform after the fact #1108

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@mgkurtz mgkurtz commented Jun 3, 2023

From my experience in #1102, it seemed to be worth wile, to compute the S in H = AS by computing the hnf H and then solving H = AS. At least for random square matrices this is much faster, than taking H, T = hnf_with_transform(A) and inverting T.

Additionally, for random square matrices larger than 100×100, it even becomes faster to compute T via S.

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codecov bot commented Jun 3, 2023

Codecov Report

Patch coverage: 35.08% and project coverage change: +0.16 🎉

Comparison is base (aa3c436) 69.33% compared to head (412a612) 69.49%.

Additional details and impacted files
@@            Coverage Diff             @@
##           master    #1108      +/-   ##
==========================================
+ Coverage   69.33%   69.49%   +0.16%     
==========================================
  Files         349      349              
  Lines      112925   112967      +42     
==========================================
+ Hits        78298    78509     +211     
+ Misses      34627    34458     -169     
Impacted Files Coverage Δ
src/Misc/Matrix.jl 68.76% <29.41%> (-1.77%) ⬇️
src/AlgAssAbsOrd/Order.jl 80.85% <80.00%> (ø)
src/AlgAssAbsOrd/Ideal.jl 75.00% <100.00%> (ø)

... and 33 files with indirect coverage changes

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