Volume 48, Issue 1
Numerical Methods for the Maxnear Criterion of Multiple-sets Canonical Analysis

Xin-Guo Liu & Jian-Ping You

J. Math. Study, 48 (2015), pp. 66-78.

Published online: 2015-03

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  • Abstract

This paper deals with numerical methods for the Maxnear criterion of multiple sets canonical analysis. Optimality conditions are derived. Upper and lower bounds of the optimal objective function value are presented. Two iterative methods are proposed. One is an alternating variable method, and the other called Gauss-Seidel method is an inexact version of the alternating variable method. Convergence of these methods are analyzed. A starting point strategy is suggested for both methods. Numerical results are presented to demonstrate the efficiency of these methods and the starting point strategy.

  • Keywords

Multiple-sets canonical analysis Maxnear criterion alternating variable method starting point strategy

  • AMS Subject Headings

62H25 65KO5

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liuxinguo656@sina.com (Xin-Guo Liu)

you_jian_ping@163.com (Jian-Ping You)

  • BibTex
  • RIS
  • TXT
@Article{JMS-48-66, author = {Liu , Xin-Guo and You , Jian-Ping }, title = {Numerical Methods for the Maxnear Criterion of Multiple-sets Canonical Analysis}, journal = {Journal of Mathematical Study}, year = {2015}, volume = {48}, number = {1}, pages = {66--78}, abstract = {

This paper deals with numerical methods for the Maxnear criterion of multiple sets canonical analysis. Optimality conditions are derived. Upper and lower bounds of the optimal objective function value are presented. Two iterative methods are proposed. One is an alternating variable method, and the other called Gauss-Seidel method is an inexact version of the alternating variable method. Convergence of these methods are analyzed. A starting point strategy is suggested for both methods. Numerical results are presented to demonstrate the efficiency of these methods and the starting point strategy.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n1.15.05}, url = {http://global-sci.org/intro/article_detail/jms/9910.html} }
TY - JOUR T1 - Numerical Methods for the Maxnear Criterion of Multiple-sets Canonical Analysis AU - Liu , Xin-Guo AU - You , Jian-Ping JO - Journal of Mathematical Study VL - 1 SP - 66 EP - 78 PY - 2015 DA - 2015/03 SN - 48 DO - http://dor.org/10.4208/jms.v48n1.15.05 UR - https://global-sci.org/intro/article_detail/jms/9910.html KW - Multiple-sets canonical analysis KW - Maxnear criterion KW - alternating variable method KW - starting point strategy AB -

This paper deals with numerical methods for the Maxnear criterion of multiple sets canonical analysis. Optimality conditions are derived. Upper and lower bounds of the optimal objective function value are presented. Two iterative methods are proposed. One is an alternating variable method, and the other called Gauss-Seidel method is an inexact version of the alternating variable method. Convergence of these methods are analyzed. A starting point strategy is suggested for both methods. Numerical results are presented to demonstrate the efficiency of these methods and the starting point strategy.

Xin-Guo Liu & Jian-Ping You . (2020). Numerical Methods for the Maxnear Criterion of Multiple-sets Canonical Analysis. Journal of Mathematical Study. 48 (1). 66-78. doi:10.4208/jms.v48n1.15.05
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