A note on absolute value equations

作者:Hu Sheng Long; Huang Zheng Hai*
来源:Optimization Letters, 2010, 4(3): 417-424.
DOI:10.1007/s11590-009-0169-y

摘要

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.