Smoothing algorithm for the maximal eigenvalue of non-defective positive matrices

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 mon...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:AIMS mathematics Jg. 9; H. 3; S. 5925 - 5936
Hauptverfasser: Li, Na, Zhong, Qin
Format: Journal Article
Sprache:Englisch
Veröffentlicht: AIMS Press 01.01.2024
Schlagworte:
lower bound
maximal eigenvalue
non-defective
positive matrix
upper bound
ISSN:2473-6988, 2473-6988
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024289