Inverse problem about two-spectra for finite Jacobi matrices with zero diagonal
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Adil Huseynov
Abstract
The necessary and sufficient conditions for solvability of the inverse problem about two-spectra for finite order real Jacobi matrices with zero-diagonal elements are established. An explicit procedure of reconstruction of the matrix from the two-spectra is given.
References
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© 2016 by De Gruyter
Articles in the same Issue
- Frontmatter
- Inverse problem about two-spectra for finite Jacobi matrices with zero diagonal
- Shape and parameter reconstruction for the Robin transmission inverse problem
- Inverse source problem based on two dimensionless dispersion-current functions in 2D evolution transport equations
- On the null space of a class of Fredholm integral equations of the first kind
- Numerical solution of an elliptic 3-dimensional Cauchy problem by the alternating method and boundary integral equations
- Reconstruction of local volatility for the binary option model
- Determination of finite difference coefficients for the acoustic wave equation using regularized least-squares inversion
- Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function
- 10.1515/jiip-2016-0003
Articles in the same Issue
- Frontmatter
- Inverse problem about two-spectra for finite Jacobi matrices with zero diagonal
- Shape and parameter reconstruction for the Robin transmission inverse problem
- Inverse source problem based on two dimensionless dispersion-current functions in 2D evolution transport equations
- On the null space of a class of Fredholm integral equations of the first kind
- Numerical solution of an elliptic 3-dimensional Cauchy problem by the alternating method and boundary integral equations
- Reconstruction of local volatility for the binary option model
- Determination of finite difference coefficients for the acoustic wave equation using regularized least-squares inversion
- Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function
- 10.1515/jiip-2016-0003
