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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 2

Construction of a complex Jacobi matrix from two-spectra

Gusein Sh. GUSEİNOV
Sayfa
297–303
Yayın Tarihi
2022-10-18
DOI
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An explicit procedure of reconstruction of the matrix from the two-spectra is given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we study the inverse spectral problem for two-spectra of finite order complex Jacobi matrices (tri-diagonal matrices).
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Temel Bulgular & Veri:The prob- lem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by delet- ing the first column and the first row of the Jacobi matrix.
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Sonuç & Katkı:An explicit procedure of reconstruction of the matrix from the two-spectra is given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we study the inverse spectral problem for two-spectra of finite order complex Jacobi matrices (tri-diagonal matrices). The prob- lem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by delet- ing the first column and the first row of the Jacobi matrix. An explicit procedure of reconstruction of the matrix from the two-spectra is given.

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Bu Makaleye Atıf Yap

GUSEİNOV, G. S. (2022). Construction of a complex Jacobi matrix from two-spectra. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 2, 297–303. https://ajindex.com/articles/530601

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Kaynakça (10)

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  8. Hald, O.H. Inverse eigenvalue problems for Jacobi matrices, Linear Algebra Appl. 14, 63– 85, 1976
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  10. Hochstadt, H. On construction of a Jacobi matrix from spectral data, Linear Algebra Appl. 8, 435–446, 1974.