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

RECONSTRUCTION OF COMPLEX JACOBI MATRICES FROM SPECTRAL DATA

Gusein Sh. GUSEİNOV
Sayfa
317–327
Yayın Tarihi
2022-10-18
DOI
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An explicit procedure of reconstruction of the matrix from the spectral data is given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:Necessary and sufficient conditions for the solvability of the inverse problem are established.
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Sonuç & Katkı:An explicit procedure of reconstruction of the matrix from the spectral data is given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (15)

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