swMATH ID: 
8636

Software Authors: 
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki

Description: 
Superquadratic convergence of DLASQ for computing matrix singular values. DLASQ is a routine in LAPACK for computing the singular values of a real upper bidiagonal matrix with high accuracy. The basic algorithm, the socalled dqds algorithm, was first presented by FernandoParlett, and implemented as the DLASQ routine by ParlettMarques. DLASQ is now recognized as one of the most efficient routines for computing singular values. In this paper, we prove the asymptotic superquadratic convergence of DLASQ in exact arithmetic. 
Homepage: 
http://www.sciencedirect.com/science/article/pii/S0377042709004221

Dependencies: 
LAPACK 
Keywords: 
singular value;
bidiagonal matrix;
{ t DLASQ};
asymptotic superquadratic convergence

Related Software: 
LAPACK;
HDLASQ;
AggDef2;
Algorithm 880

Referenced in: 
6 Publications
