摘要文章基于l∞-范数的性质及奇异值阈值方法,提出Hankel矩阵填充的一种算法.该算法保证每次迭代产生的填充矩阵是可行的Hankel矩阵,不仅减少了奇异值分解所用的时间,而且获得更精确的填充矩阵.同时,讨论了新算法的收敛性.最后通过数值实验以及简单的图像修复证明新算法比加速邻近梯度算法、阈值的增广Lagrange乘子算法以及基于F-模的Hankel矩阵填充的保结构阈值算法更有效. |
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