Publications [#237255] of Xiaobai Sun

Journal articles or Book chapters PUBLISHED

1. Bischof, CH; Lang, B; Xiaobai, S, Algorithm 807: The SBR toolbox - Software for successive band reduction, ACM Transactions on Mathematical Software, vol. 26 no. 4 (January, 2000), pp. 602-616, Association for Computing Machinery (ACM) [doi]
   (last updated on 2025/02/02)

   Abstract:
   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.