Brauer-type bounds for Hadamard product of nonnegative tensors


In this paper, we establish some Brauer-type bounds for the spectral radius of Hadamard product of two nonnegative tensors based on Brauer-type inclusion set, which are shown to be sharper than the existing bounds established in the literature. The validity of the obtained results is theoretically and numerically tested.

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This work was supported by the National Natural Science Foundation of China (Grant No. 11671228).

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Correspondence to Yiju Wang.

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Wang, G., Zhang, Y. & Wang, Y. Brauer-type bounds for Hadamard product of nonnegative tensors. Front. Math. China 15, 555–570 (2020).

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  • Hadamard product
  • nonnegative tensor
  • Brauer-type inclusion set
  • spectral radius


  • 15A18
  • 15A42