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00000 n 0000295201 00000 n 0000283275 00000 n 0000294803 00000 n 0000300879 00000 n 0000295467 00000 n 0000300343 00000 n 0000300580 00000 n 0000302641 00000 n 0000301170 00000 n 0000302290 00000 n 0000302347 00000 n trailer << /Root 1 0 R /Info 2 0 R /Size 409 >> startxref 305030 %%EOF 1 0 obj <>]>>/PageMode/UseOutlines/Pages 289 0 R/Type/Catalog>> endobj 409 0 obj <>stream 2020-01-14T14:10:19+08:00 LaTeX with hyperref package 2020-01-14T14:14:06+08:00 2020-01-14T14:14:06+08:00 MiKTeX-xdvipdfmx (0.7.8) 谱范数,无穷范数,二次规划,G-ADMM法 application/pdf Gauss 回代交替方向法求解一类二次规划逆问题 本文求解了目标函数为矩阵谱范数与向量无穷范数之和的一类二次规划的逆问题。先将该问题转 化为目标函数可分离变量的凸优化问题,提出用 Gauss 回代交替方向法求解该问题。而对于其中 一个子问题的求解过程中发现其仍是目标函数可分离变量的凸优化问题,但无法精确求解每个变 量,所以采用非精确方法求解该子问题。最后给出采用的 Gauss 回代交替方向法求解本文问题的 数值实验。数据表明,本文所采用的方法能够高效快速地解决该二次规划逆问题。 李丽丹, 张宏伟, 张立卫 谱范数 无穷范数 二次规划 G-ADMM法 uuid:59704d22-bef8-47fd-8910-593c187813ac uuid:9f45270b-027b-4747-898c-287e6a31033a endstream endobj 410 0 obj <> endobj xref 0 2 0000000000 65535 f 0000313292 00000 n 409 2 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