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A Comparative Study on the Efficient Reordering Methods of Sparse Matrix Problem for Large-scale Surveying Network Adjustment  

Woo, Sun-Kyu (연세대학교 공과대학 사회환경시스템공학부)
Yun, Kong-Hyun (연세대학교 건설공학연구소)
Heo, Joon (연세대학교 공과대학 사회환경시스템공학부)
Publication Information
Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography / v.26, no.1, 2008 , pp. 85-91 More about this Journal
Abstract
When a large sparse matrix is calculated for a horizontal geodetic network adjustment, it needs to go through the process of matrix reordering for the efficiency of time and space. In this study, several reordering methods for sparse matrix were tested, using Sparse Matrix Manipulation System(SMMS) program, total processing time and Fill-in number produced in factorization process were measured and compared. As a result, Minimum Degree(MD) and Mutiple Minimum Degree(MMD), which are based on Minimum Degree are better than Gibbs-Poole-Stockmeyer(GPS) and Reverse Cuthill-Mckee(RCM), which are based on Minimum Bandwidth. However, the method of the best efficiency can be changed dependent on distribution of non-zero elements in a matrix. This finding could be applied to heighten the efficiency of time and storage space for national datum readjustment and other large geodetic network adjustment.
Keywords
Sparse matrix; Reordering; Minimum Degree; Minimum Bandwidth; Fill-in; SMMS;
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Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
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