Matlab Codes

Matlab programs for the rank-one decomposition theorems are available at

 http://drive.gdut.edu.cn/l/b1kxK8 

(type the link in your browser). The rank-one matrix decompostion theorems stem from the following papers:

1. Jos F. Sturm and Shuzhong Zhang," On Cones of Nonnegative Quadratic Functions," Mathematics of Operations Research, Vol. 28, pp 246-267, 2003

   
   

2. Yongwei Huang and Shuzhong Zhang, "Complex Matrix Decomposition and Quadratic Programming," Mathematics of Operations Research, Vol. 32, No. 3, pp. 758-768, 2007.
   

   
   

3. 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.

   
   

4. 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.