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Vector Aitken extrapolation method for multilinear PageRank computations

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Abstract

The multilinear PageRank is an extension of the well-known PageRank model. The solution of this model comes as a Z-eigenvector of a non-negative tensor. High-order power method is one of the most widely used ways of computing the multilinear PageRank vector. Even for irreducible and aperiodic tensors, the approach may not converge and when it converges, the convergence may be slow. For larger problems, these two limitations make computing the eigenvectors difficult or impossible. The paper proposes a new method for accelerating the computation of the multilinear PageRank vector using a vector Aitken extrapolation method.

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Acknowledgements

We would like to express sincere thanks to the Reviewers for their constructive and interesting comments.

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Authors and Affiliations

  1. Laboratory LAMAI, Faculty of Sciences and Technologies, Cadi Ayyad University, Marrakech, Morocco

    Maryam Boubekraoui & Abdeslem Hafid Bentbib

  2. Laboratory LMPA, ULCO, 50 Rue F. Buisson, Calais Cedex, France

    Khalide Jbilou

  3. University um6p, Benguérir, Morocco

    Khalide Jbilou

Authors
  1. Maryam Boubekraoui
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  2. Abdeslem Hafid Bentbib
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  3. Khalide Jbilou
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Correspondence to Abdeslem Hafid Bentbib.

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Boubekraoui, M., Bentbib, A.H. & Jbilou, K. Vector Aitken extrapolation method for multilinear PageRank computations. J. Appl. Math. Comput. 69, 1145–1172 (2023). https://doi.org/10.1007/s12190-022-01786-z

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  • DOI: https://doi.org/10.1007/s12190-022-01786-z

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