An algorithm for computing the spectral radius of nonnegative matrices

Na Li; Qin Zhong

doi:10.1117/12.3011593

7 December 2023 An algorithm for computing the spectral radius of nonnegative matrices

Na Li, Qin Zhong

Proceedings Volume 12941, International Conference on Algorithms, High Performance Computing, and Artificial Intelligence (AHPCAI 2023); 129411G (2023) https://doi.org/10.1117/12.3011593
Event: Third International Conference on Algorithms, High Performance Computing, and Artificial Intelligence (AHPCAI 203), 2023, Yinchuan, China

Abstract

The spectral radius of a matrix is widely used in numerical analysis, graph theory, stability theory, and other related fields, and is a rather active topic in matrix theory research. In this paper, we establish a smoothing algorithm to calculate the spectral radius of a non-detective nonnegative irreducible matrix by constructing a special matrix. The effectiveness of the algorithm is demonstrated by a numerical arithmetic example.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Na Li and Qin Zhong "An algorithm for computing the spectral radius of nonnegative matrices", Proc. SPIE 12941, International Conference on Algorithms, High Performance Computing, and Artificial Intelligence (AHPCAI 2023), 129411G (7 December 2023); https://doi.org/10.1117/12.3011593

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