Pregled bibliografske jedinice broj: 464494
On the Convergence of Block Kogbetliantz Methods for Calculating the SVD
On the Convergence of Block Kogbetliantz Methods for Calculating the SVD // International Workshop on Accurate Solution of Eigenvalue Problems
Dubrovnik, Hrvatska, 2008. (predavanje, nije recenziran, neobjavljeni rad, znanstveni)
CROSBI ID: 464494 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the Convergence of Block Kogbetliantz Methods for Calculating the SVD
Autori
Bujanović, Zvonimir ; Drmač, Zlatko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
International Workshop on Accurate Solution of Eigenvalue Problems
Mjesto i datum
Dubrovnik, Hrvatska, 09.06.2008. - 12.06.2008
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
SVD; block methods; convergence
Sažetak
We introduce the block Kogbetliantz method for computing the singular value decomposition of a matrix. The initial matrix is partitioned into blocks, and instead of annihilating a couple of elements by plane (2 by 2) rotations at each step, we consider annihilating a couple of blocks at mutually transposed positions by more general block rotations. The conditions that block rotations have to satisfy in order for a row-cyclic algorithm to converge are discussed. We also prove convergence of left and right singular vectors.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372783-2750 - Spektralne dekompozicije - numericke metode i primjene (Drmač, Zlatko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
