On computing PageRank via lumping the Google matrix
نویسندگان
چکیده
منابع مشابه
Google-bombing - Manipulating the PageRank Algorithm
With the growth of the Internet, the field of Information Retrieval (IR) has gained increasing importance. Quick, easy, and accurate information access is the deciding factor between successful search companies and their rivals. Likewise, the manipulation of IR systems for ulterior motives, known as adversarial IR, is just as important, as it can turn the successes of a search strategy against ...
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We consider the web hyperlink matrix used by Google for computing the PageRank whose form is given by A(c) = [cP + (1 − c)E]T , where P is a row stochastic matrix, E is a row stochastic rank one matrix, and c ∈ [0, 1]. We determine the analytic expression of the Jordan form of A(c) and, in particular, a rational formula for the PageRank in terms of c. The use of extrapolation procedures is very...
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We provide the analysis of the Google PageRank from the perspective of the Markov Chain Theory. First we study the Google PageRank for a Web that can be decomposed into several connected components which do not have any links to each other. We show that in order to determine the Google PageRank for a completely decomposable Web, it is sufficient to compute a subPageRank for each of the connecte...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.06.003