Space tensor conic programming

Liqun Qi () and Yinyu Ye ()

Computational Optimization and Applications, 2014, vol. 59, issue 1, 307-319

Abstract: 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. Copyright Springer Science+Business Media New York 2014

Keywords: Space tensor; Positive semi-definiteness; Cone; Dual cone; Conic linear programming; Duality (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10589-013-9577-0

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