Space tensor conic programming

Liqun Qi, Yinyu Ye

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


Space tensors appear in physics and mechanics. Mathematically, they are tensors in the three-dimensional Euclidean space. In the research area of diffusion magnetic resonance imaging, convex optimization problems are formed where higher order positive semi-definite space tensors are involved. In this short paper, we investigate these problems from the viewpoint of conic linear programming (CLP). We characterize the dual cone of the positive semi-definite space tensor cone, and study the CLP formulation and the duality of positive semi-definite space tensor conic programming.
Original languageEnglish
Pages (from-to)307-319
Number of pages13
JournalComputational Optimization and Applications
Issue number1-2
Publication statusPublished - 1 Jan 2014


  • Cone
  • Conic linear programming
  • Dual cone
  • Duality
  • Positive semi-definiteness
  • Space tensor

ASJC Scopus subject areas

  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

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