New estimation for spectral radius of Hadamard product

Qin Zhong; Chunyan Zhao; Xin Zhou; Yan Wang; Ling Li

doi:10.1117/12.2671104

28 April 2023 New estimation for spectral radius of Hadamard product

Qin Zhong, Chunyan Zhao, Xin Zhou, Yan Wang, Ling Li

Proceedings Volume 12610, Third International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022); 126103P (2023) https://doi.org/10.1117/12.2671104
Event: Third International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022), 2022, Wuhan, China

Abstract

For the Hadamard product of the matrices with non-negative entries, we study the new upper bound for the spectral radius by applying the characteristic value containing the domain theorem. This estimating formula only involves the entries of two non-negative matrices. Hence, the upper bound is easy to calculate in practical examples. An example is considered to illustrate our results.

Citation Download Citation

Qin Zhong, Chunyan Zhao, Xin Zhou, Yan Wang, and Ling Li "New estimation for spectral radius of Hadamard product", Proc. SPIE 12610, Third International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022), 126103P (28 April 2023); https://doi.org/10.1117/12.2671104

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