A new extrapolation method for PageRank computations

The PageRank algorithm is widely considered these years because of its great significance in search engine technology and other scientific domains. Though the power method is the initial measure to settle the PageRank problem, it gives poor convergence when the damping factor is sufficiently close to 1. This difficulty encourages researchers to present improved iterative methods for accelerating PageRank computations. In this paper, a cheap and practical extrapolation approach which is determined by the trace of the Google matrix is proposed, and it is more attractive when combined with the well-known Arnoldi-type algorithm. Convergence analysis of our algorithms is given. Numerical examples illustrate the efficiency of these accelerated schemes.