# PageRank: Splitting Homogeneous Singular Linear Systems of Index One

@inproceedings{Jager2009PageRankSH, title={PageRank: Splitting Homogeneous Singular Linear Systems of Index One}, author={Douglas Vincent de Jager and Jeremy T. Bradley}, booktitle={ICTIR}, year={2009} }

The PageRank algorithm is used today within web information retrieval to provide a content-neutral ranking metric over web pages. It employs power method iterations to solve for the steady-state vector of a DTMC. The defining one-step probability transition matrix of this DTMC is derived from the hyperlink structure of the web and a model of web surfing behaviour which accounts for user bookmarks and memorised URLs.
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