By Vandebril R.

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Additional resources for A QR-method for computing the singular values via semiseparable matrices

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Comparison in speed between the new and traditional approach 1000 Semi Separable svd Traditional svd 900 800 Number of iterations 700 600 500 400 300 200 100 0 50 100 150 200 250 300 Size of the matrices 350 400 450 500 Fig. 5. Number of implicit QR–steps Comparison in accuracy for singular values [0,1] −11 10 maximum relative error of the eigenvalues Semi Separable QR Traditional QR −12 10 −13 10 −14 10 −15 10 50 100 150 200 250 300 Size of the matrices 350 400 450 500 Fig. 6. Equal spaced singular values in (0, 1] the largest singular values, and the corresponding vectors, is needed [11,22, 23,28,29].

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