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A note on absolute value equations

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Abstract

In this note, we reformulate a system of absolute value equations (AVEs) as a standard linear complementarity problem (LCP) without any assumption. Utilizing some known results for the LCP, existence and convexity results for the solution set of the AVE are proposed.

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Tianjin University, 300072, Tianjin, People’s Republic of China

    Sheng-Long Hu & Zheng-Hai Huang

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  1. Sheng-Long Hu
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  2. Zheng-Hai Huang
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Corresponding author

Correspondence to Zheng-Hai Huang.

Additional information

This work was partially supported by the National Natural Science Foundation of China (Grant No. 10871144) and the Natural Science Foundation of Tianjin (Grant No. 07JCYBJC05200).

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Hu, SL., Huang, ZH. A note on absolute value equations. Optim Lett 4, 417–424 (2010). https://doi.org/10.1007/s11590-009-0169-y

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  • DOI: https://doi.org/10.1007/s11590-009-0169-y

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