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In this paper, based on the iteration methods [3, 10] , we propose a modified multi-step powerinner-outer (MMPIO) iteration method for solving the PageRank problem. In the MMPIO iteration method, we use the multi-step matrix splitting iterations instead of the power method, and combine with the innerouter iteration  . The convergence of the MMPIO iteration method is analyzed in detail, and some comparison results are also given. Several numerical examples are presented to illustrate thedoi:10.2298/fil1903725t fatcat:4f7nu3ycmfgghoea62wmi4imfu