A toolbox for computing the singular value decomposition on distributed memory computers

Authors
Citation
B. Grosser, A toolbox for computing the singular value decomposition on distributed memory computers, Z ANG MA ME, 80, 2000, pp. S803-S804
Citations number
4
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
80
Year of publication
2000
Supplement
3
Pages
S803 - S804
Database
ISI
SICI code
0044-2267(2000)80:<S803:ATFCTS>2.0.ZU;2-2
Abstract
We present a parallel software implementation for computing the singular va lue decomposition (SVD) of general, banded or bidiagonal matrices. First, t he matrix is reduced to bidiagonal form. This reduction can be rearranged i n a way that allows heavy use of matrix-matrix operations. Then the singula r values are computed in an iterative process. Finally the singular vectors are computed independently. The methods are compared to the ScaLAPACK libr ary with respect to accuracy, stability and performance on parallel compute rs.