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Numerical Algorithms for Personalized Search in Self-organizing Information Networks by Sep Kamvar

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Chapter Five

Extrapolation Algorithms

5.1 INTRODUCTION

The standard PageRank algorithm uses the Power Method to compute successive iterates that converge to the principal eigenvector of the Markov matrix A representing the Web link graph. Since it was shown in the previous chapter that the Power Method converges quickly, one approach to accelerating PageRank would be to directly modify the Power Method to exploit our knowledge about the matrix A.

In this chapter, we present several algorithms that accelerate the convergence of PageRank by using successive iterates of the Power Method to estimate the nonprincipal eigenvectors of A, and periodically ...

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