Van de Velde, Eric F. (1990) Experiments with multicomputer LU-decomposition. Concurrency: Practice and Experience, 2 (1). pp. 1-26. ISSN 1040-3108. https://resolver.caltech.edu/CaltechAUTHORS:20180329-104843961
Full text is not posted in this repository. Consult Related URLs below.
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20180329-104843961
Abstract
We present a new concurrent LU‐decomposition algorithm based on implicit pivoting of both rows and columns. This algorithm is, to a large extent, independent of the distribution of the matrix over the concurrent processes. As a result, it can be used in programs with dynamically varying data distributions. Another advantage is that most pivoting strategies are easily incorporated. We also introduce two new, intrinsically concurrent, pivoting strategies: multirow and multicolumn pivoting. With this program, we study the performance of concurrent LU‐decomposition as a function of data distribution and pivoting strategy. We show that LU‐decomposition with some pivoting strategies is both faster and numerically more stable than LU‐decomposition without pivoting. Experimental evidence on the Symult 2010 and the iPSC/2 shows that, for performance considerations, pivoting is equivalent to randomizing the data distribution.
| Item Type: | Article | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| |||||||||
| Additional Information: | © 1990 John Wiley & Sons, Ltd. Manuscript received: 28 July 1989. Funding Information: Department of Energy. Grant Numbers: DE‐FG03‐85ER25009, DE‐AS03‐76ER72012; NSF. Grant Number: CCR‐8809615. | |||||||||
| Funders: |
| |||||||||
| Issue or Number: | 1 | |||||||||
| Record Number: | CaltechAUTHORS:20180329-104843961 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180329-104843961 | |||||||||
| Official Citation: | van de Velde, E. F. (1990), Experiments with multicomputer LU‐decomposition. Concurrency: Pract. Exper., 2: 1-26. doi:10.1002/cpe.4330020102 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 85490 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 29 Mar 2018 18:11 | |||||||||
| Last Modified: | 03 Oct 2019 19:31 |
Repository Staff Only: item control page
