Matlab Codes

Matlab programs for the rank-one decomposition theorems are available here (DCMP-Matlab-codes.zip).
The rank-one matrix decomposition theorems stem from the following papers:
  • Jos F. Sturm and Shuzhong Zhang, "On Cones of Nonnegative Quadratic Functions," Mathematics of Operations Research, Vol. 28, pp 246-267, 2003.
  • Yongwei Huang and Shuzhong Zhang, "Complex Matrix Decomposition and Quadratic Programming," Mathematics of Operations Research, Vol. 32, No. 3, pp. 758-768, 2007.
  • Wenbao Ai, Yongwei Huang, and Shuzhong Zhang, "New Results on Hermitian Matrix Rank-One Decomposition," Mathematical Programming: Series A, Vol. 128, No. 1-2, pp. 253-283, June 2011.
  • Wenbao Ai and Shuzhong Zhang, "Strong Duality for the CDT Subproblem: A Necessary and Sufficient Condition," SIAM Journal on Optimization, Vol. 19, 1735-1756, 2009.

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