Gusein Sh. GUSEİNOV

Construction of a Complex Jacobi Matrix from Two-Spectra ABSTRACT | FULL TEXT

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Chu, M. T. and Golub, G. H. Inverse Eigenvalue Problems: Theory, Algorithms, and Ap- plications(Oxford University Press, New York, 2005).
Fu, L. and Hochstadt, H. Inverse theorems for Jacobi matrices, J. Math. Anal. Appl. 47, 162–168, 1974.
Gasymov, M. G. and Guseinov, G. Sh. On inverse problems of spectral analysis for infinite Jacobi matrices in the limit-circle case, Dokl. Akad. Nauk SSSR 309, 1293–1296, 1989; English transl. in Soviet Math. Dokl. 40, 627–630, 1990.
Gesztesy, F. and Simon, B. M. M-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices, J. Anal. Math. 73, 267–297, 1997.
Gray, L. J. and Wilson, D. G. Construction of a Jacobi matrix from spectral data, Linear Algebra Appl. 14, 131–134, 1976.
Guseinov, G. Sh. Determination of the infinite Jacobi matrix with respect to two-spectra, Mat. Zametki 23, 709–720, 1978; English transl. in Math. Notes 23, 391–398, 1978.
Guseinov, G. Sh. Inverse spectral problems for tridiagonal N by N complex Hamiltonians, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 5, Paper 018, 28 pages, 2009.
Hald, O. H. Inverse eigenvalue problems for Jacobi matrices, Linear Algebra Appl. 14, 63– 85, 1976.
Hochstadt, H. On some inverse problems in matrix theory, Arch. Math. 18, 201–207, 1967.
Hochstadt, H. On construction of a Jacobi matrix from spectral data, Linear Algebra Appl. 8, 435–446, 1974.