Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/7724
Title: Space tensor conic programming
Authors: Qi, L 
Ye, Y 
Keywords: Cone
Conic linear programming
Dual cone
Duality
Positive semi-definiteness
Space tensor
Issue Date: 2014
Publisher: Springer
Source: Computational optimization and applications, 2014, v. 59, no. 1-2, p. 307-319 How to cite?
Journal: Computational optimization and applications 
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.
URI: http://hdl.handle.net/10397/7724
ISSN: 0926-6003
EISSN: 1573-2894
DOI: 10.1007/s10589-013-9577-0
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