| 求解结构矩阵低秩逼近的交替投影方法 |
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| 引用本文： | 张新俊,段雪峰,张雪伟.求解结构矩阵低秩逼近的交替投影方法[J].应用数学与计算数学学报,2014(4):475-485. |
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| 作者姓名： | 张新俊 段雪峰 张雪伟 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,广西桂林541004 |
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| 基金项目： | 国家自然科学基金资助项目（11101100,11261014,11301107）;广西自然科学基金资助项目（2012GXNSFBA053006,2013GXNSFBA019009,2011GXNSFA018138）;广西信息科学实验中心基金资助项目（20130103） |
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| 摘 要： | 结构矩阵低秩逼近在图像压缩、计算机代数和语音编码中有广泛应用.首先给出了几类结构矩阵的投影公式,再利用交替投影方法计算结构矩阵低秩逼近问题.数值试验表明新方法是可行的.
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| 关 键 词： | 结构矩阵 低秩逼近 交替投影方法 |
Alternating projection method for solving structured low rank approximation |
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| ZHANG Xin-jun,DUAN Xue-feng,ZHANG Xue-wei.Alternating projection method for solving structured low rank approximation[J].Communication on Applied Mathematics and Computation,2014(4):475-485. |
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| Authors: | ZHANG Xin-jun DUAN Xue-feng ZHANG Xue-wei |
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| Institution: | (School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, Guangxi Province, China) |
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| Abstract: | Structured low rank approximation has a wide range of applications in image compression,computer algebra,and speech encoding.We first present projection formulas of several kinds of structured matrices and then apply alternating projection algorithm to obtain the solution of structured low rank approximation of a matrix.Finally,the computational results show that the new method is feasible. |
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| Keywords: | structured matrix low rank approximation alternating projection algorithm |
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