Skip to main content

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