19 citations · 57 across the 11 of their papers we have counts for
13 papers
Inverse problems for Jacobi operators IV: Interior mass-spring perturbations of semi-infinite systems
Rafael del Rio, Mikhail Kudryavtsev, Luis O. Silva
This work gives results on the interplay of the spectra of two Jacobi operators corresponding to an infinite mass-spring system and a modification of it obtained by changing one ma…
Inverse spectral analysis for a class of infinite band symmetric matrices
Mikhail Kudryavtsev, Sergio Palafox, Luis O. Silva
This note deals with the direct and inverse spectral analysis for a class of infinite band symmetric matrices. This class corresponds to operators arising from difference quations…
Inverse spectral analysis for a class of finite band symmetric matrices
Mikhail Kudryavtsev, Sergio Palafox, Luis O. Silva
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…
On a linear interpolation problem for n-dimensional vector polynomials
Mikhail Kudryavtsev, Sergio Palafox, Luis O. Silva
This work provides a complete characterization of the solutions of a linear interpolation problem for vector polynomials. The interpolation problem consists in finding n scalar pol…
Inverse problems for Jacobi operators III: Mass-spring perturbations of semi-infinite systems
Rafael del Rio, Mikhail Kudryavtsev, Luis O. Silva
Consider an infinite linear mass-spring system and a modification of it obtained by changing the first mass and spring of the system. We give results on the interplay of the spectr…
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…