On high relative accuracy of the Kogbetliantz method (CROSBI ID 189522)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Matejaš, Josip ; Hari, Vjeran
engleski
On high relative accuracy of the Kogbetliantz method
The relative accuracy of the Kogbetliantz method for computing the singular value decomposition of real triangular matrices is considered. Sharp relative error bounds for the computed singular values are derived. The results are obtained by estimating the norms of scaled perturbation matrices arising from errors generated in one step and one batch of commuting transformations. Perturbation matrices are scaled either from the left or right side by the inverse of the diagonal matrix.
singular values; relative accuracy; Kogbetliantz method
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Podaci o izdanju
464
2015.
100-129
objavljeno
0024-3795
10.1016/j.laa.2014.02.024