@article{Li2024, 
author = {Na Li and Qin Zhong},
title = {Smoothing algorithm for the maximal eigenvalue of non-defective positive matrices},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {5925-5936},
keywords = {non-defective, positive matrix, maximal eigenvalue, upper bound, lower bound},
url = {https://www.sciopen.com/article/10.3934/math.2024289},
doi = {10.3934/math.2024289},
abstract = {This paper introduced a smoothing algorithm for calculating the maximal eigenvalue of non-defective positive matrices. Two special matrices were constructed to provide monotonically increasing lower-bound estimates and monotonically decreasing upper-bound estimates of the maximal eigenvalue. The monotonicity and convergence of these estimations was also proven. Finally, the effectiveness of the algorithm was demonstrated with numerical examples.}
}