Algorithm 807. The SBR toolbox-software for successive band reduction

被引:56
作者
Bischof, CH
Lang, B
Sun, XB
机构
[1] Univ Aachen, Inst Comp Sci, D-52056 Aachen, Germany
[2] Univ Aachen, Ctr Comp, D-52056 Aachen, Germany
[3] Duke Univ, Dept Comp Sci, Durham, NC 27708 USA
来源
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2000年 / 26卷 / 04期
关键词
algorithms; performance; symmetric matrices; tridiagonalization; blocked householder transformations;
D O I
10.1145/365723.365736
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
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.
引用
收藏
页码:602 / 616
页数:15
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