Two small fixes of bdsqr#989
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langou merged 2 commits intoReference-LAPACK:masterfrom Feb 26, 2024
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In Reference-LAPACK#234 only dbdsqr was updated. This updates the documentation of the other precisions.
[D,Z]BDSQR returns for D = [ -4.0, -3.0, -2.0, -1.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0] E = [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0] as singular value D(10) = -ZERO. By definition, singular values are non-negative. LASQ1 already fixes the sign and returns +ZERO.
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## master #989 +/- ##
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I approve of this change. However, @langou and I were recently discussing something similar about -ZERO and ZERO. Since we cannot normally distinguish between the two, for example:
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langou
approved these changes
Feb 26, 2024
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Two small fixes of bdsqr:
In Update dbdsqr.f #234 only the documentation of
dbdsqrwas updated. This updates the documentation of the remaining precisions.bdsqrcan return-ZEROas a singular value. For example,[d,z]bdsqronreturns
D(10) = -ZERO. This adds a branch enforcing that all singular values follow the definition and are non-negative, i.e.,-ZEROis converted into+ZERO. Note that this is already enforced inlasq1(used for the singular-values-only path).