An Adaptive Reordered Method for Computing PageRank

We propose an adaptive reordered method to deal with the PageRank problem. It has been shown that one can reorder the hyperlink matrix of PageRank problem to calculate a reduced system and get the full PageRank vector through forward substitutions. This method can provide a speedup for calculating t...

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Main Authors: Yi-Ming Bu, Ting-Zhu Huang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/507915
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author Yi-Ming Bu
Ting-Zhu Huang
author_facet Yi-Ming Bu
Ting-Zhu Huang
author_sort Yi-Ming Bu
collection DOAJ
description We propose an adaptive reordered method to deal with the PageRank problem. It has been shown that one can reorder the hyperlink matrix of PageRank problem to calculate a reduced system and get the full PageRank vector through forward substitutions. This method can provide a speedup for calculating the PageRank vector. We observe that in the existing reordered method, the cost of the recursively reordering procedure could offset the computational reduction brought by minimizing the dimension of linear system. With this observation, we introduce an adaptive reordered method to accelerate the total calculation, in which we terminate the reordering procedure appropriately instead of reordering to the end. Numerical experiments show the effectiveness of this adaptive reordered method.
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institution Kabale University
issn 1110-757X
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publishDate 2013-01-01
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record_format Article
series Journal of Applied Mathematics
spelling doaj-art-7d7d3ff4d86148b5acc24c15b96638912025-02-03T00:59:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/507915507915An Adaptive Reordered Method for Computing PageRankYi-Ming Bu0Ting-Zhu Huang1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaWe propose an adaptive reordered method to deal with the PageRank problem. It has been shown that one can reorder the hyperlink matrix of PageRank problem to calculate a reduced system and get the full PageRank vector through forward substitutions. This method can provide a speedup for calculating the PageRank vector. We observe that in the existing reordered method, the cost of the recursively reordering procedure could offset the computational reduction brought by minimizing the dimension of linear system. With this observation, we introduce an adaptive reordered method to accelerate the total calculation, in which we terminate the reordering procedure appropriately instead of reordering to the end. Numerical experiments show the effectiveness of this adaptive reordered method.http://dx.doi.org/10.1155/2013/507915
spellingShingle Yi-Ming Bu
Ting-Zhu Huang
An Adaptive Reordered Method for Computing PageRank
Journal of Applied Mathematics
title An Adaptive Reordered Method for Computing PageRank
title_full An Adaptive Reordered Method for Computing PageRank
title_fullStr An Adaptive Reordered Method for Computing PageRank
title_full_unstemmed An Adaptive Reordered Method for Computing PageRank
title_short An Adaptive Reordered Method for Computing PageRank
title_sort adaptive reordered method for computing pagerank
url http://dx.doi.org/10.1155/2013/507915
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