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- W4361189757 abstract "The concept of tensor eigenpairs has received more researches in past decades. Recent works have paid attentions to a special class of symmetric tensors termed regular simplex tensors, which is constructed by equiangular tight frame of n + 1 vectors in n-dimensional space, and the robustness of eigenpairs was investigated. In the end of the literature, a conjecture was claimed that the robust eigenvectors of a regular simplex tensor are precisely the vectors in the frame. One later work theoretically proved that the case of n = 2 was true. In this paper, we proceed further and complete the proof for the above conjecture. Some promising directions are discussed in the end for future works." @default.
- W4361189757 created "2023-03-31" @default.
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- W4361189757 date "2023-03-24" @default.
- W4361189757 modified "2023-09-23" @default.
- W4361189757 title "Robust Eigenvectors of Regular Simplex Tensors: Conjecture Proof" @default.
- W4361189757 doi "https://doi.org/10.48550/arxiv.2303.13847" @default.
- W4361189757 hasPublicationYear "2023" @default.
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