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An Oppenheim type determinantal inequality for the Khatri-Rao product

Functional Analysis 2021-07-21 v1

Abstract

We first give an Oppenheim type determinantal inequality for the Khatri-Rao product of two block positive semidefinite matrices, and then we extend our result to multiple block matrices. As products, the extensions of Oppenheim type inequalities for the Hadamard product are also included.

Keywords

Cite

@article{arxiv.2003.04522,
  title  = {An Oppenheim type determinantal inequality for the Khatri-Rao product},
  author = {Yongtao Li and Lihua Feng},
  journal= {arXiv preprint arXiv:2003.04522},
  year   = {2021}
}

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9 pages