Algorithm 807: The SBR toolbox - Software for successive band reduction
Publication
, Journal Article
Bischof, CH; Lang, B; Xiaobai, S
Published in: ACM Transactions on Mathematical Software
January 1, 2000
We present a software toolbox for symmetric band reduction via orthogonal transformations, together with a testing and timing program. The toolbox contains drivers and computational routines for the reduction of full symmetric matrices to banded form and the reduction of banded matrices to narrower banded or tridiagonal form, with optional accumulation of the orthogonal transformations, as well as repacking routines for storage rearrangement. The functionality and the calling sequences of the routines are described, with a detailed discussion of the "control" parameters that allow adaptation of the codes to particular machine and matrix characteristics. We also briefly describe the testing and timing program included in the toolbox.
Duke Scholars
Published In
ACM Transactions on Mathematical Software
DOI
ISSN
0098-3500
Publication Date
January 1, 2000
Volume
26
Issue
4
Start / End Page
602 / 616
Related Subject Headings
- Numerical & Computational Mathematics
- 4901 Applied mathematics
- 4613 Theory of computation
- 4606 Distributed computing and systems software
- 0806 Information Systems
- 0802 Computation Theory and Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Bischof, C. H., Lang, B., & Xiaobai, S. (2000). Algorithm 807: The SBR toolbox - Software for successive band reduction. ACM Transactions on Mathematical Software, 26(4), 602–616. https://doi.org/10.1145/365723.365736
Bischof, C. H., B. Lang, and S. Xiaobai. “Algorithm 807: The SBR toolbox - Software for successive band reduction.” ACM Transactions on Mathematical Software 26, no. 4 (January 1, 2000): 602–16. https://doi.org/10.1145/365723.365736.
Bischof CH, Lang B, Xiaobai S. Algorithm 807: The SBR toolbox - Software for successive band reduction. ACM Transactions on Mathematical Software. 2000 Jan 1;26(4):602–16.
Bischof, C. H., et al. “Algorithm 807: The SBR toolbox - Software for successive band reduction.” ACM Transactions on Mathematical Software, vol. 26, no. 4, Jan. 2000, pp. 602–16. Scopus, doi:10.1145/365723.365736.
Bischof CH, Lang B, Xiaobai S. Algorithm 807: The SBR toolbox - Software for successive band reduction. ACM Transactions on Mathematical Software. 2000 Jan 1;26(4):602–616.
Published In
ACM Transactions on Mathematical Software
DOI
ISSN
0098-3500
Publication Date
January 1, 2000
Volume
26
Issue
4
Start / End Page
602 / 616
Related Subject Headings
- Numerical & Computational Mathematics
- 4901 Applied mathematics
- 4613 Theory of computation
- 4606 Distributed computing and systems software
- 0806 Information Systems
- 0802 Computation Theory and Mathematics