New inequalities for M-matrices involving fan product

Na Li; Qin Zhong

doi:10.1117/12.2692881

23 August 2023 New inequalities for M-matrices involving fan product

Na Li, Qin Zhong

Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 1278410 (2023) https://doi.org/10.1117/12.2692881
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China

Abstract

Based on the classic eigenvalue inclusion theorem, we establish a new lower bound expression on the minimum eigenvalue for the Fan product of two M-matrices. The new bound is only related to the elements of two M-matrices and is more operative in practical applications. In addition, a numerical example is considered to demonstrate the feasibility and validity of the result obtained.

Citation Download Citation

Na Li and Qin Zhong "New inequalities for M-matrices involving fan product", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 1278410 (23 August 2023); https://doi.org/10.1117/12.2692881

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