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<p>In this paper, combining with the relaxation technique, we propose new preconditioned splitting methods for solving the multilinear PageRank problem. Besides, the preconditioned splitting iterative methods with Anderson acceleration are also given. Furthermore, we provide the convergence analysis of the proposed methods. Numerical experiments including both the synthetic data and the real-world data demonstrate that the proposed methods perform well.</p>

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Preconditioned iterative methods with Anderson acceleration for solving multilinear PageRank and applications

  • 期刊论文

  • 发表日期：

    2025年3月18日

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  • Siya Lu,
  • Dongdong Liu,
  • Seak-Weng Vong

摘要

In this paper, combining with the relaxation technique, we propose new preconditioned splitting methods for solving the multilinear PageRank problem. Besides, the preconditioned splitting iterative methods with Anderson acceleration are also given. Furthermore, we provide the convergence analysis of the proposed methods. Numerical experiments including both the synthetic data and the real-world data demonstrate that the proposed methods perform well.