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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front. Math. China    2007, Vol. 2 Issue (1) : 103-121    https://doi.org/10.1007/s11464-007-0007-4
Prediction-correction alternating direction method for a class of constrained min-max problems
LI Min, HE Bingsheng
Department of Mathematics, Nanjing University, Nanjing 210093, China
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Abstract The problems concerned in this paper are a class of constrained min-max problems. By introducing the Lagrange multipliers to the linear constraints, such problems can be solved by some projection type prediction-correction methods. However, to obtain components of the predictor one by one, we use an alternating direction method. And then the new iterate is generated by a minor correction. Global convergence of the proposed method is proved. Finally, numerical results for a constrained single-facility location problem are provided to verify that the new method is effective for some practical problems.
Issue Date: 05 March 2007
 Cite this article:   
LI Min,HE Bingsheng. Prediction-correction alternating direction method for a class of constrained min-max problems[J]. Front. Math. China, 2007, 2(1): 103-121.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-007-0007-4
https://academic.hep.com.cn/fmc/EN/Y2007/V2/I1/103
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