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On the span of Hadamard products of vectors |
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| Authors: | Li Qiu |
| Institution: | a Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong b Department of Mathematics, East China Normal University, Shanghai 200062, China |
| Abstract: | Let A1, … , Ak be positive semidefinite matrices and B1, … , Bk arbitrary complex matrices of order n. We show that span{(A1x)°(A2x)°?°(Akx)|x∈Cn}=range(A1°A2°?°Ak) |
| Keywords: | 15A03 15A04 15A57 |
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