邱安东, 杨娇娇, 冯涵, 杨周旺

中国科学技术大学 数学科学学院, 合肥 230026

收稿日期:2017-12-20出版日期:2018-12-15发布日期:2018-11-20


基金资助:国家自然科学基金（10371130）和中国国家重点基础研究发展计划（2004CB318000）资助项目.

GROUP PARTIAL REGULARIZATION AND ITS APPLICATIONS

Qiu Andong, Yang Jiaojiao, Feng Han, Yang Zhouwang

School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

Received:2017-12-20Online:2018-12-15Published:2018-11-20







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本文研究组模下偏正则最小化问题，证明了解的存在性，稀疏性.研究了零空间性质对最优解的刻画.仔细探讨了解的一种单调性，并应用这种单调性说明最优化问题的求解可以分解到各组中.最后给出了一个所证定理在地震反演的应用.
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