Research article

A SOR-like AVM for the maximal correlation problem

  • Received: 28 June 2017 Accepted: 07 April 2018 Published: 17 April 2018
  • In this paper, a SOR-like alternating variable method for computing the global solution of the maximal correlation problem is presented. The monotone convergence of the SOR-like alternating variable method is proved. Numerical experiments show the effciency of our method.

    Citation: Jun He. A SOR-like AVM for the maximal correlation problem[J]. AIMS Mathematics, 2018, 3(1): 253-262. doi: 10.3934/Math.2018.1.253

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  • In this paper, a SOR-like alternating variable method for computing the global solution of the maximal correlation problem is presented. The monotone convergence of the SOR-like alternating variable method is proved. Numerical experiments show the effciency of our method.


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    [1] H. Hotelling, The most predictable criterion, J. Educ. Pyschol., 26 (1935), 139–142.
    [2] H. Hotelling, Relations between two sets of variates, Biometrika, 28 (1936), 321–377.
    [3] M. T. Chu, J. L. Watterson, On a multivariate eigenvalue problem, part Ⅰ: Algebraic theory and a power method, SIAM J. Sci. Comput., 14 (1993), 1089–1106.
    [4] M. Hanafi, J. M. F. Ten Berge, Global optimality of the successive Maxbet algorithm, Psychometrika, 68 (2003), 97–103.
    [5] P. Horst, Relations among m sets of measures, Psychometrika, 26 (1961), 129–149.
    [6] J. Nocedal, S. J. Wright, Numerical Optimization, 2nd edn. Springer, New York, 2006.
    [7] L. H. Zhang, M. T. Chu, Computing absolute maximum correlation, IMA J. Numer. Anal., 32 (2012), 163–184.
    [8] L. H. Zhang, L. Z. Liao, L. M. Sun, Towards the global solution of the maximal correlation problem, J. Global Optim., 49 (2011), 91–107.
    [9] L. H. Zhang, L. Z. Liao, (2012) An alternating variable method for the maximal correlation problem, J. Global Optim., 54 (2012), 199–218.
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  • © 2018 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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