Name
Abstract | ||
|---|---|---|
For finite-dimensional CMV matrices the mixed inverse spectral problem of reconstructing the matrix by its submatrix and a part of its spectrum is considered. A general rational interpolation problem which arises in solving the mixed inverse spectral problem is studied, and the description of the space of its solutions is given. We apply the developed technique to give sufficient conditions for the uniqueness of the solution of the mixed inverse spectral problem. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jat.2008.09.003 | Journal of Approximation Theory |
Keywords | Field | DocType |
sufficient condition,direct and inverse spectral problems,developed technique,. cmv matrices,mixed inverse problems. 1,spectral measure,general rational interpolation problem,weyl function,mixed inverse spectral problem,verblunsky coefficients,finite cmv matrix,finite-dimensional cmv,szegýo recurrences,spectral theory,spectrum,inverse problem | Inverse,Uniqueness,Mathematical optimization,Spectral measure,Mathematical analysis,Matrix (mathematics),Interpolation,Generalized inverse,Mathematics,Inverse scattering problem,Inverse quadratic interpolation | Journal |
Volume | Issue | ISSN |
159 | 1 | 0021-9045 |
Citations | PageRank | References |
1 | 0.43 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Leonid Golinskii | 1 | 22 | 4.48 |
| Mikhail Kudryavtsev | 2 | 1 | 0.43 |