Two new linear equation solvers (Gauss and Crout) in in-core and out-of-core versions applicable to banded unsymmetric equation systems have been developed. They feature implicit scaling and introduce multiple pivoting and the threshold factor use for pivoting decision. The stability, tested with tw
PIVOTED BLOCK SOLVERS FOR LARGE BANDED LINEAR EQUATION SYSTEMS
โ Scribed by STABROWSKI, M. M.
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 149 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1069-8299
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โฆ Synopsis
A new method of pivoting applicable to banded unsymmetric linear equation systems has been introduced. It limits the ยฎll-in and preserves the basic structure. Two solvers, using the new pivoting strategy, have been developed. Both solvers have been written in the C language for two popular UNIX platforms (PC486 and the Sun Sparc5). Details of the solvers' implementations are described comprehensively. Quantitative results of the test runs on both platforms are presented. # 1997 by
๐ SIMILAR VOLUMES
A block equation solver for the solution of large, sparse, banded unsymmetric system of linear equations is presented in this paper. The method employs Crout variation of Gauss elimination technique for the solution. The solver ensures the efficient use of the available memory by doing block factori