# Inverse spectral analysis for a class of finite band symmetric matrices

@article{Kudryavtsev2014InverseSA, title={Inverse spectral analysis for a class of finite band symmetric matrices}, author={Mikhail Kudryavtsev and Sergio Palafox and Luis O. Silva}, journal={arXiv: Mathematical Physics}, year={2014} }

In this note, we solve an inverse spectral problem for a class of finite band symmetric matrices. We provide necessary and sufficient conditions for a matrix valued function to be a spectral function of the operator corresponding to a matrix in our class and give an algorithm for recovering this matrix from the spectral function. The reconstructive algorithm is applicable to matrices which cannot be treated by known inverse block matrix methods. Our approach to the inverse problem is based on…

#### One Citation

On a linear interpolation problem for n-dimensional vector polynomials

- Mathematics, Computer ScienceJ. Approx. Theory
- 2015

The results of this work generalize previous results on the so-called rational interpolation and have applications to direct and inverse spectral analysis of band matrices.

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