Pregled bibliografske jedinice broj: 190348
Skew-Symmetric Differential qd Algorithm is Accurate
Skew-Symmetric Differential qd Algorithm is Accurate // ICNAAM (International Conference on Numerical Analysis and Applied Matehamatics 2004) / Simos, T. E. ; Tsisouras, Ch. (ur.).
Weinheim: Wiley-VCH, 2004. str. 344-347 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
Skew-Symmetric Differential qd Algorithm is Accurate
Autori
Singer, Sanja ; Singer, Saša
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
ICNAAM (International Conference on Numerical Analysis and Applied Matehamatics 2004)
/ Simos, T. E. ; Tsisouras, Ch. - Weinheim : Wiley-VCH, 2004, 344-347
Skup
International Conference on Numerical Analysis and Applied Matehamatics 2004
Mjesto i datum
Halkida, Grčka, 10.09.2004. - 14.09.2004
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
skew-symmetric matrices; differential qd algorithm
Sažetak
Differential qd (dqd) algorithm with shifts is probably the fastest algorithm which accurately computes eigenvalues of symmetric tridiagonal matrices. Here we will construct an algorithm for computing eigenvalues of skew-symmetric matrices by using implicitly QR and symplectic QR factorizations. If we apply this algorithm onto tridiagonal skew-symmetric matrices, we obtain the skew--symmetric dqd algorithm. Here incorporation of shifts is a much harder then in symmetric case, and yet to be implemented. But, as we expect, our algorithm enjoys high relative stability.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037114
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
