New results on Hermitian matrix rank-one decomposition

@article{Ai2011NewRO,
  title={New results on Hermitian matrix rank-one decomposition},
  author={Wenbao Ai and Yongwei Huang and Shuzhong Zhang},
  journal={Math. Program.},
  year={2011},
  volume={128},
  pages={253-283}
}
In this paper, we present several new rank-one decomposition theorems for Hermitian positive semidefinite matrices, which generalize our previous results in [18, 2]. The new matrix rank-one decomposition theorems appear to have wide applications in theory as well as in practice. On the theoretical side, for example, we show how to further extend some of the classical results including a lemma due to Yuan [27], the classical results on the convexity of the joint numerical ranges [23, 4], and the… CONTINUE READING
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