Concave minimization for sparse solutions of absolute value equations |
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Authors: | Xiaohong Liu Jie Fan Wenjuan Li |
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Institution: | 1.School of Sciences,Tianjin University,Tianjin,China;2.Center for Applied Mathematics,Tianjin University,Tianjin,China |
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Abstract: | Based on concave function, the problem of finding the sparse solution of absolute value equations is relaxed to a concave programming, and its corresponding algorithm is proposed, whose main part is solving a series of linear programming. It is proved that a sparse solution can be found under the assumption that the connected matrixes have range space property(RSP). Numerical experiments are also conducted to verify the efficiency of the proposed algorithm. |
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