19 citations · 57 across the 11 of their papers we have counts for
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Inverse problems for Jacobi operators I: Interior mass-spring perturbations in finite systems
Rafael del Rio, Mikhail Kudryavtsev
We consider a linear finite spring mass system which is perturbed by modifying one mass and adding one spring. From knowledge of the natural frequencies of the original and the per…
Rational interpolation and mixed inverse spectral problem for finite CMV matrices
Leonid Golinskii, Mikhail Kudryavtsev
For finite dimensional CMV matrices the mixed inverse spectral problem of reconstruction the matrix by its submatrix and a part of its spectrum is considered. A general rational in…
An inverse spectral theory for finite CMV matrices
Leonid Golinskii, Mikhail Kudryavtsev
For finite dimensional CMV matrices the classical inverse spectral problems are considered. We solve the inverse problem of reconstructing a CMV matrix by its Weyl's function, the…
On the discrete spectrum of complex banded matrices
L. Golinskii, M. Kudryavtsev
The discrete spectrum of complex banded matrices which are compact perturbations of the standard banded matrix of order is under consideration. The rate of stabilization for th…
Resolution of the Cauchy problem for the Toda lattice with non-stabilized initial data
Mikhail Kudryavtsev
This paper is the continuation of the work "On an inverse problem for finite-difference operators of second order". We consider the Cauchy problem for the Toda lattice in the case…
On an inverse problem for finite-difference operators of second order
Mikhail Kudryavtsev
The Jacobi matrices with bounded elements whose spectrum of multiplicity 2 is separated from its simple spectrum and contains an interval of absolutely continuous spectrum are cons…