Journal of Computational and Applied Mathematics
Volume 234, Issue 11, 1 October 2010, Pages 3140-3169
Google PageRanking problem: The model and the analysis☆
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MSC
65F10
65F15
65Y20
15A18
15A21
15A51
Keywords
Google matrix
PageRanking
Surfing model
Rank-one perturbation
Brauer’s Theorem
Jordan canonical form
Principle of biorthogonality
Extrapolation formulae
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This material was partly presented at the Seminar “Web Information Retrieval and Linear Algebra Algorithms”, Schloss Dagstuhl–Wadern (Germany), February 2007, see Serra-Capizzano (2007) [19], and at the Workshop “Numerical Linear Algebra in Internet Algorithms”, Monopoli - Bari (Italy), September 2007. The resulting paper could be viewed as two parts: The part regarding the model is new and that regarding the analysis is based for a large part on a joint work with Roger Horn (2008) [17] and on Serra-Capizzano (2005) [7].
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