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Dubbs T Albuquerque IF Bondar NF Carrigan R Chen D Cooper PS Lisheng D Denisov AS Dobrovolsky AV Endler AM Escobar CO Foucher M Golovtsov VL Gottschalk H Gouffon P Grachev VT Khanzadeev AV Kubantsev MA Kuropatkin NP Lach J Pengfei L Chengze L Yunshan L Luksys M Mahon JR McCliment E Morelos A Newsom C Pommot Maia MC Samsonov VM Schegelsky VA Huanzhang S Smith VJ Fukun T Terentyev NK Timm S Tkatch II Uvarov LN Vorobyov AA Jie Y Wenheng Z Shuchen Z Yuanyuan Z 《Physical review letters》1994,72(6):808-811
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The numerical solution of a possible inconsistent system oflinear inequalities in the l1 sense is considered. The non-differentiablel1 norm minimization problem is approximated by a piecewisequadratic Huber smooth function. A continuation algorithm isdesigned to find an l1 solution of the inequality system. Inthe case where the linear inequality system is consistent, asolution is obtained by solving any smoothed problem. Otherwise,the algorithm is shown to terminate in a finite number of iterations.We also consider an alternative smoothing scheme which sharessimilar properties with the first one, but results in an improvedcomputational performance of the continuation algorithm on inconsistentsystems. Numerical experiments are conducted to test the efficiencyof the algorithm. 相似文献
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