An inverse spectral problem for complex Jacobi matrices

DOI10.1016/j.cnsns.2009.05.029zbMath1221.15016OpenAlexW2058155135MaRDI QIDQ718171

Gusein Sh. Guseinov

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.029

zbMATH Keywords

inverse spectral problemdifference equationJacobi matrixgeneralized spectral function

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Ordinary lattice differential equations (34A33)

Related Items (3)

Unnamed Item ⋮ An algorithm for constructing a pseudo‐Jacobi matrix from given spectral data ⋮ Inverse spectral problem for Sturm-Liouville operator with coupled eigenparameter-dependent boundary conditions of Atkinson type

Cites Work

• The integration of semi-infinite Toda chain by means of inverse spectral problem
• Determination of an infinite non-self-adjoint Jacobi matrix from its generalized spectral function
• Theory of nonlinear lattices
• Complex Jacobi matrices
• On the ``Favard theorem and its extensions
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