Naslov
Scaled Iterates by Kogbetliantz Method

Autori
Matejaš, Josip ; Hari, Vjeran

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the Conference Applied Mathematics and Computation, Dubrovnik, Croatia, September 13--18, 1999. / Rogina, Mladen ; Hari, Vjeran ; Limić, Nedzad ; Tutek, Zvonimir - Zagreb : Prirodoslovno-matematički fakultet Sveučilišta u Zagrebu, 2001, 1-30

Skup
Applied Mathematics and Computation

Mjesto i datum
Dubrovnik, Hrvatska, 13.09.1999. - 18.09.1999

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Kogbetliantz method; scaled matrices; simple singular values

Sažetak
Scaled iterates associated with the serial Kogbetliantz method for computing the SVD of complex triangular matrices are considered. They are defined by $B_S^{(k)}=|\mbox{diag} (B^{(k)})|^{-\frac{1}{2}}B^{(k)}|\mbox{diag} (B^{(k)})|^{-\frac{1}{2}}$, where $B^{(k)}$ are matrices generated by the method. Sharp estimates are derived for the Frobenius norm of the off- diagonal part of $B_S^{(k)}$ in the case of simple singular values. This norm represents a good measure for advancing of the algorithm. The obtained estimates can be used in connection with the quadratic convergence of the algorithm.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA