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SIAM J. Sci. Comput. 32, pp. 349-371 (23 pages)

An Inner-Outer Iteration for Computing PageRank

David F. Gleich, Andrew P. Gray, Chen Greif, and Tracy Lau

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We present a new iterative scheme for PageRank computation. The algorithm is applied to the linear system formulation of the problem, using inner-outer stationary iterations. It is simple, can be easily implemented and parallelized, and requires minimal storage overhead. Our convergence analysis shows that the algorithm is effective for a crude inner tolerance and is not sensitive to the choice of the parameters involved. The same idea can be used as a preconditioning technique for nonstationary schemes. Numerical examples featuring matrices of dimensions exceeding 100,000,000 in sequential and parallel environments demonstrate the merits of our technique. Our code is available online for viewing and testing, along with several large scale examples.

© 2010 Society for Industrial and Applied Mathematics

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PUBLICATION DATA

ISSN

1064-8275 (print)  
1095-7197 (online)

ARTICLE DATA

History
Received June 15, 2008
Accepted June 05, 2009
Published online February 05, 2010

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