TECHNICAL PAPERS
Nov 1, 2000

Parallel Partitioned Inverse Method for Least-Squares Adjustment

Publication: Journal of Surveying Engineering
Volume 126, Issue 4

Abstract

Parallel computing is undoubtedly the trend in numerical applications of highly intensive computation. There has been much related research and development on parallel computer architecture, algorithm design, and supplementary packages. However, computational technology has seen little interest in the surveying area since the North American Datum of 1983 adjustment. In this research, a parallel partitioned inverse algorithm is implemented and applied to a least-squares adjustment of horizontal survey networks to present the potential of parallel computing methods for surveying data. Two observation data sets with 2,412 and 1,902 unknowns were used for the test. To improve performance of the algorithm, two different partitioning schemes also were investigated with the data sets. The computational experiment presents the good scalability of the algorithm and better partitioning approach with the improved speed. However, it is noted that parallel factorization of sparse matrices is required to fully utilize the proposed approach.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Alvarado, F. L., Pothen, A., and Schreiber, R. ( 1993). “Highly parallel sparse triangular solution.” Graph theory and sparse matrix computation, A. George, J. Gilbert, and W. H. Liu, eds., Springer, New York, 141–157.
2.
Alvarado, F. L., Tinney, W. F., and Enns, M. K. ( 1991). “Sparsity in large-scale network computation.” Advances in electric power and energy conversion system dynamics and control, C. T. Londes, ed., Academic, London.
3.
Betancourt, R. ( 1988). “An efficient heuristic ordering algorithm for partial matrix refactorization.” IEEE Trans. on Power Sys., 3(3), 1181–1187.
4.
Geist, A., Beguelin, A., and Dongarra, J. ( 1994). PVM (Parallel Virtual Machine): A users' guide and tutorial for networked parallel computing, MIT Press, Cambridge, Mass.
5.
Gomez, A., and Franquelo, L. ( 1988). “Node ordering algorithms for sparse vector method improvement.”IEEE Trans. on Power Sys., 3(1), 73–79.
6.
JaJa, J. ( 1992). An introduction to parallel algorithms, Addison-Wesley, Reading, Mass.
7.
Kumer, V., Grama, A., Gupta, A., and Karypis, G. ( 1994). Introduction to parallel computing: Design and analysis of algorithm, Benjamin-Cummings, Redwood City, Calif.
8.
Liu, J. W. H. ( 1985). “Modification of the minimum degree algorithm by multiple elimination.” ACM Trans. on Math. Software, 11, 141–153.
9.
Pacheco, P. ( 1996). Parallel programming with MPI, Academic, London.
10.
Schwarz, C. R., ed. ( 1989). “North American datum of 1983.” NOAA Profl. Paper NOS 2, U.S. Department of Commerce, Rockville, MD.
11.
Snay, R. A. ( 1976). “Reducing the profile of sparse symmetric matrices.” NOAA Tech. Memo. NOS NGS-4, National Geodetic Survey, Rockville, MD.
12.
Wolf, P. R., and Ghilani, C. D. ( 1997). Adjustment computations: Statistics and least squares in surveying and GIS, Wiley, New York.

Information & Authors

Information

Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 126Issue 4November 2000
Pages: 163 - 176

History

Received: Sep 13, 1999
Published online: Nov 1, 2000
Published in print: Nov 2000

Permissions

Request permissions for this article.

Authors

Affiliations

Dept. of Civ. and Envir. Engrg., Univ. of Wisconsin-Madison, Madison, WI 53706. E-mail: [email protected]
Dept. of Mathematics, Univ. of Wisconsin-Madison, Madison, WI. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share