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6. Equal spaced singular values in (0, 1] the largest singular values, and the corresponding vectors, is needed [11,22, 23,28,29]. Once the upper triangular semiseparable matrix has been transformed to unreducible form, its singular values can be computed reapplying A QR–method for computing the singular values via semiseparable matrices 193 Comparison in accuracy for singular values 1:n −13 10 maximum relative error of the eigenvalues Semi Separable QR Traditional QR −14 10 −15 10 −16 10 50 100 150 200 250 300 Size of the matrices 350 400 450 500 Fig.

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