MATHEMATICS BEHIND GOOGLE PAGERANK ALGORITHM

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MATHEMATICS BEHIND GOOGLE PAGERANK ALGORITHM ( mathematics-behind-google-pagerank-algorithm )

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√√ 1 −17 7+1 − 7+1    9   3   3  1 −7  −1   −1  3√√ 1  1  − 7−1  7−1  v1= v2=9 v3= 3 v4= 3  (II.18) 1   The eigenvector corresponding to the dominant eigenvalue, v1, is the domi- nant eigenvector, which is shown to be positive. Since λ1 = 1 and v1 = e, it can be seen that the stochastic matrix S has the eigenpair (1, e).  13   5   0     0     1  1100  3   1   1  9

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