New Nonsmooth Equations‐Based Algorithms for ℓ1‐Norm Minimization and Applications

Lei Wu and Zhe Sun

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: Recently, Xiao et al. proposed a nonsmooth equations‐based method to solve the ℓ1‐norm minimization problem (2011). The advantage of this method is its simplicity and lower storage. In this paper, based on new nonsmooth equations reformulation, we investigate new nonsmooth equations‐based algorithms for solving ℓ1‐norm minimization problems. Under mild conditions, we show that the proposed algorithms are globally convergent. The preliminary numerical results demonstrate the effectiveness of the proposed algorithms.

Date: 2012
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https://doi.org/10.1155/2012/139609

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:139609

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