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Efficient computation of condition estimates for linear least squares problems

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Table 1: Ratio between exact and statistical condition numbers (q = 2) cond(A) n 0 n 12 n 1 n 32 n 2 n 52 n 3 k r k 2 = 10 −10 57.68 3.32 1.46 1.19 1.10 1.03 1.07 k r k 2 = 10 −5 57.68 3.33 1.45 1.18 1.07 1.09 1.05 k r k 2 = 1 57.68 3.36 1.45 1.19 1.19 1.0
Figure 1: Componentwise condition numbers of LLS (problem size 9984 × 2496)
Figure 2: Comparison between componentwise exact and statistical condition numbers get the formulas
Figure 3: Performance for computing LLS condition numbers with MAGMA
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