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The general tensor regular splitting iterative method for multilinear PageRank problem

  • Received: 08 October 2023 Revised: 17 November 2023 Accepted: 30 November 2023 Published: 11 December 2023
  • MSC : 65F10, 65H10

  • The paper presents an iterative scheme called the general tensor regular splitting iterative (GTRS) method for solving the multilinear PageRank problem, which is based on a (weak) regular splitting technique and further accelerates the iterative process by introducing a parameter. The method yields familiar iterative schemes through the use of specific splitting strategies, including fixed-point, inner-outer, Jacobi, Gauss-Seidel and successive overrelaxation methods. The paper analyzes the convergence of these solvers in detail. Numerical results are provided to demonstrate the effectiveness of the proposed method in solving the multilinear PageRank problem.

    Citation: Shuting Tang, Xiuqin Deng, Rui Zhan. The general tensor regular splitting iterative method for multilinear PageRank problem[J]. AIMS Mathematics, 2024, 9(1): 1443-1471. doi: 10.3934/math.2024071

    Related Papers:

  • The paper presents an iterative scheme called the general tensor regular splitting iterative (GTRS) method for solving the multilinear PageRank problem, which is based on a (weak) regular splitting technique and further accelerates the iterative process by introducing a parameter. The method yields familiar iterative schemes through the use of specific splitting strategies, including fixed-point, inner-outer, Jacobi, Gauss-Seidel and successive overrelaxation methods. The paper analyzes the convergence of these solvers in detail. Numerical results are provided to demonstrate the effectiveness of the proposed method in solving the multilinear PageRank problem.



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