New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications

Lei Wu and Zhe Sun

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

Abstract:

Recently, Xiao et al. proposed a nonsmooth equations-based method to solve the -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 -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:139609

DOI: 10.1155/2012/139609

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