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  5. RSP-Based Analysis for Sparsest Solutions to the System of Linear Equalities and Inequalities

RSP-Based Analysis for Sparsest Solutions to the System of Linear Equalities and Inequalities

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：snowin11
【摘 要】
：
In this paper,we consider the problem to find the sparsest solution to the system of linear equalities and inequalities.We propose the range space property for the concerned problem and investigate th
【作 者】
：
Huang Zheng-Hai 
【机 构】
：
Tianjin Univ.
【出 处】
：
第八届工业与应用数学国际大会
【发表日期】
：
2015年5期
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　　In this paper,we consider the problem to find the sparsest solution to the system of linear equalities and inequalities.We propose the range space property for the concerned problem and investigate the necessary and sufficient conditions for the uniqueness of the solution to the relaxed problem; in particular,we show that the original problem is equivalent to its convex relaxation under mild conditions.
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