复矩阵截断奇异值分解的一类混合算法
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张玉心,侯文婷,周学林,李姣芬
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A Hybrid Algorithm for Solving Truncated Complex Singular Value Decomposition
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Yuxin Zhang,Wenting Hou,Xuelin Zhou,Jiaofen Li
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表 1 不同初值下算法Hybrid-Newton的数值结果
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| CT.(s) | IT. | Grad. | Obj. | | CT.(s) | IT. | Grad. | Obj. | | $(U^{(0)}, V^{(0)})$取(a) | | $(U^{(0)}, V^{(0)})$取(b) | | Hybrid-Newton | 3.31 | 96/5 | 1.38$\times 10^{-10}$ | -56.23 | | 1.38 | 157/3 | 3.81$\times 10^{-10}$ | -56.23 | | $(U^{(0)}, V^{(0)})$取(c) | | $(U^{(0)}, V^{(0)})$取(d) | | Hybrid-Newton | 3.14 | 159/5 | 1.74$\times 10^{-8}$ | -56.22 | | 3.66 | 187/7 | 6.03$\times 10^{-7}$ | -56.23 |
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