Several relaxed iteration methods for computing PageRank

被引:6
|
作者
Tian, Zhaolu [1 ]
Zhang, Yan [2 ]
Wang, Junxin [1 ]
Gu, Chuanqing [3 ]
机构
[1] Shanxi Univ Finance & Econ, Coll Appl Math, Taiyuan 030006, Peoples R China
[2] Shandong Univ Sci & Technol, Geomat Coll, Qingdao 266590, Peoples R China
[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
关键词
PageRank problem; Inner-outer iteration; Relaxed; Convergence; Matrix splitting; MATRIX SPLITTING ITERATION; INNER-OUTER ITERATION; CONVERGENCE; ALGORITHM;
D O I
10.1016/j.cam.2020.113295
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, based on the iteration framework (Tian et al., 2019) and relaxed twostep splitting (RTSS) iteration method (Xie and Ma, 2018), we present two relaxed iteration methods for solving the PageRank problem, which are the relaxed generalized inner-outer (RGIO) and relaxed generalized two-step splitting (RGTSS) iteration methods, respectively. Next, their overall convergence properties are analyzed in detail, and choices of the parameters in these algorithms are also discussed. Finally, several numerical examples are given to illustrate the effectiveness of the proposed algorithms. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:21
相关论文
共 50 条
  • [1] A relaxed two-step splitting iteration method for computing PageRank
    Ya-Jun Xie
    Chang-Feng Ma
    [J]. Computational and Applied Mathematics, 2018, 37 : 221 - 233
  • [2] A relaxed two-step splitting iteration method for computing PageRank
    Xie, Ya-Jun
    Ma, Chang-Feng
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (01): : 221 - 233
  • [3] The coupled iteration algorithms for computing PageRank
    Tian, Zhaolu
    Liu, Zhongyun
    Dong, Yinghui
    [J]. NUMERICAL ALGORITHMS, 2022, 89 (04) : 1603 - 1637
  • [4] The coupled iteration algorithms for computing PageRank
    Zhaolu Tian
    Zhongyun Liu
    Yinghui Dong
    [J]. Numerical Algorithms, 2022, 89 : 1603 - 1637
  • [5] An Extrapolation Iteration and Its Lumped Type Iteration for Computing PageRank
    Feng, Yuehua
    You, Jianxin
    Dong, Yongxin
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (05) : 2603 - 2620
  • [6] Parallel relaxed and extrapolated algorithms for computing PageRank
    Arnal, Josep
    Migallon, Hector
    Migallon, Violeta
    Palomino, Juan A.
    Penades, Jose
    [J]. JOURNAL OF SUPERCOMPUTING, 2014, 70 (02): : 637 - 648
  • [7] An Extrapolation Iteration and Its Lumped Type Iteration for Computing PageRank
    Yuehua Feng
    Jianxin You
    Yongxin Dong
    [J]. Bulletin of the Iranian Mathematical Society, 2022, 48 : 2603 - 2620
  • [8] Parallel relaxed and extrapolated algorithms for computing PageRank
    Josep Arnal
    Héctor Migallón
    Violeta Migallón
    Juan A. Palomino
    José Penadés
    [J]. The Journal of Supercomputing, 2014, 70 : 637 - 648
  • [9] AN INNER-OUTER ITERATION FOR COMPUTING PAGERANK
    Gleich, David F.
    Gray, Andrew P.
    Greif, Chen
    Lau, Tracy
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 32 (01): : 349 - 371
  • [10] Relaxed assumptions for iteration methods
    Brohé, M
    Tossings, P
    [J]. OPTIMIZATION, 2000, 48 : 83 - 90