Sampling the eigenvalues of a graph

We are concerned with the computational aspects of eigenvalues of a simple graph made of Sturm–Liouville operators on its edges. We show how the sampling method not only helps to compute effectively its eigenvalues and but also to locate double eigenvalues. This helps to design better graph type str...

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Veröffentlicht in:	Sampling theory, signal processing, and data analysis signal processing, and data analysis, 2023-06, Vol.21 (1), Article 13
Hauptverfasser:	Baskaya, E., Boumenir, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis approximation and their applications. An appreciation to Paul Butzer’s scientific work Machine Learning Mathematics Mathematics and Statistics Original Article Sampling theory Signal,Image and Speech Processing
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We are concerned with the computational aspects of eigenvalues of a simple graph made of Sturm–Liouville operators on its edges. We show how the sampling method not only helps to compute effectively its eigenvalues and but also to locate double eigenvalues. This helps to design better graph type structures by predicting and avoiding resonance, and unwanted vibrations.
ISSN:	2730-5716 2730-5724
DOI:	10.1007/s43670-023-00052-y