A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem

SongnianHe; WenlongZhu

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A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem

机译：关于采用1-范数正则化方法逼近曲线的可行性问题的一个注记

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Inspired by the very recent results of Wang and Xu (2010), we study properties of the approximating curve with 1-norm regularization method forthe split feasibility problem (SFP). The concept of the minimum-norm solutionset of SFP in the sense of 1-norm is proposed, and the relationship between the approximating curve and the minimum-norm solution set is obtained.

机译：受Wang和Xu（2010）的最新研究结果的启发，我们使用1-范数正则化方法研究了分裂可行性问题（SFP）的近似曲线的性质。提出了SFP范数最小范数解集在1范数意义上的概念，得到了近似曲线与范数解集之间的关系。

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《Journal of applied mathematics》 |2012年第1期|共10页
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SongnianHe; WenlongZhu;
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中图分类应用数学;
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1. A note on approximating curve with 1-norm regularization method for the split feasibility problem [J] . He S., Zhu W. Journal of applied mathematics . 2012,第Pta8期

机译：关于1-可行性正则化方法逼近曲线分裂可行性问题的注释
2. Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem [J] . Fenghui Wang, Hong-Kun Xu Journal of inequalities and applications . 2010,第期

机译：拆分可行性问题的CQ算法的逼近曲线和强收敛性
3. Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem [J] . Fenghui Wang, Hong-Kun Xu Journal of inequalities and applications . 2010,第1期

机译：分裂可行性问题的CQ算法的逼近曲线和强收敛性
4. Solution of the LIMM equation by the polynomial regularization method and the L-curve algorithm for selection of the regularization parameter [C] . Lang, S.B., Fleming, Electrical Insulation and Dielectric Phenomena, 2004. CEIDP '04 . 2004

机译：多项式正则化方法和L曲线算法选择正则化参数来求解LIMM方程
5. Approximate factorization of polynomials in many variables and other problems in approximate algebra via singular value decomposition methods. [D] . May, John P. 2005

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6. Automatic selection of regularization parameters for dynamic fluorescence molecular tomography: a comparison of L-curve and U-curve methods [O] . Maomao Chen, Han Su, Yuan Zhou, 2016

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7. Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem [O] . Fenghui Wang, Hong-Kun Xu 2010

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8. Downscaling Satellite Precipitation with Emphasis on Extremes: A Variational 1-Norm Regularization in the Derivative Domain. [R] . Foufoula-Georgiou, E., Ebtehaj, A. M., Zhang, S. Q., 2013

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A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem

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