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PageRank is calculated with the power method, that is, by multiplying the transition matrix of the PageRank process by an initial arbitrary vector and repeating the multiplication until product stabilizes. The components of this stationary vector are the PageRank values of the nodes of the network.

The algorithm runs in time O(E) time where E is the number of edges of the network.

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Brin, S., Page, L. (2001) The Anatomy of a Large-Scale Hypertextual Web Search Engine.
Proceedings of the seventh International Conference on the World Wide Web (WWW1998):107-117.

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