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An SDP relaxation method for perron pairs of a nonnegative tensor

  • 【作者】Li Li,Xihong Yan,Xinzhen Zhang
  • 【刊名】Applied Mathematics and Computation
  • 【作者单位】1 Department of Mathematics, Taiyuan Normal University, Shanxi, 030619, China; 2 This author’s work is supported by the National Natural Science Foundation of China (Grant No. 11901424).; 3 This author’s work is supported by the National Natural Science Foundation of China (Grant No. 11871369).; 4 School of Mathematics, Tianjin University, Tianjin 300350, China
  • 【年份】2022
  • 【卷号】Vol.423
  • 【页码】126866
  • 【ISSN】0096-3003
  • 【关键词】Nonnegative tensor Perron eigenvector Polynomial optimization SDP Relaxation 
  • 【摘要】 In this paper, we focus on Perron pairs of a nonnegative tensor, which have wide applications in many areas, such as higher order Markov chains and hypergraph theory. We first propose a SemiDefinite Programming relaxation algorithm to directly compu...
  • 【文献类型】 期刊
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