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Journals / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 3

RECONSTRUCTION OF COMPLEX JACOBI MATRICES FROM SPECTRAL DATA

Gusein Sh. GUSEİNOV
Pages
317–327
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

An explicit procedure of reconstruction of the matrix from the spectral data is given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce spectral data for finite order complex Jacobi matrices and investigate the inverse problem of determining the matrix from its spectral data.
📊
Key Findings & Data:Necessary and sufficient conditions for the solvability of the inverse problem are established.
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Conclusion & Impact:An explicit procedure of reconstruction of the matrix from the spectral data is given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Jacobi matrix · Difference equation · Spectral data

Abstract

In this paper, we introduce spectral data for finite order complex Jacobi matrices and investigate the inverse problem of determining the matrix from its spectral data. Necessary and sufficient conditions for the solvability of the inverse problem are established. An explicit procedure of reconstruction of the matrix from the spectral data is given.

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Cite This Article

GUSEİNOV, G. S. (2022). RECONSTRUCTION OF COMPLEX JACOBI MATRICES FROM SPECTRAL DATA. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 3, 317–327. https://ajindex.com/articles/530695

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