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An upper bound on the minimum rank of a symmetric Toeplitz matrix completion problem

  • 【作者】Yi Xu,Xihong Yan,Jiahao Guo,Cheng Ma
  • 【刊名】Optimization
  • 【作者单位】1a Institute of Mathematics, Southeast University, Nanjing, Jiangsu Province, People's Republic of China;b Nanjing Center for Applied Mathematics, Nanjing, Jiangsu Province, People's Republic of China;2c Department of Mathematics, Taiyuan Normal University, Jinzhong, Shanxi Province, People's Republic of China;3d School of Business, Qingdao University, Qingdao, Shandong Province, People's Republic of China
  • 【年份】2023
  • 【卷号】Vol.72 No.9
  • 【页码】2399-2414
  • 【ISSN】0233-1934
  • 【关键词】Toeplitz matrix rank trigonometric moment problem semi-infinite problem 
  • 【摘要】 We consider a symmetric Toeplitz matrix completion problem, of which the matrix possesses special row and column structures. It has wide applications in diverse areas and is well-known to be computationally NP-hard. This note presents an upper bound ...
  • 【文献类型】 期刊
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