The closure property of [Formula: see text] -tensors under the Hadamard product

In this paper, we investigate the closure property of [Formula: see text] -tensors under the Hadamard product. It is shown that the Hadamard products of Hadamard powers of strong [Formula: see text] -tensors are still strong [Formula: see text] -tensors. We then bound the minimal real eigenvalues of...

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Detalles Bibliográficos
Autores principales: Zhou, Lixin, Liu, Jianzhou, Zhu, Li
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5607157/
https://www.ncbi.nlm.nih.gov/pubmed/28989258
http://dx.doi.org/10.1186/s13660-017-1499-4
Descripción
Sumario:In this paper, we investigate the closure property of [Formula: see text] -tensors under the Hadamard product. It is shown that the Hadamard products of Hadamard powers of strong [Formula: see text] -tensors are still strong [Formula: see text] -tensors. We then bound the minimal real eigenvalues of the comparison tensors of the Hadamard products involving strong [Formula: see text] -tensors. Finally, we show how to attain the bounds by characterizing these [Formula: see text] -tensors.

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