Inverse problems for Jacobi operators I: Interior mass-spring perturbations in finite systems

Details Inverse problems for Jacobi operators I: Interior mass-spring perturbations in finite systems Inverse problems for Jacobi operators I: Interior mass-spring perturbations in finite systems

2011-06-09

arxiv.org/abs/1106.1691v1

Mathematics

Spectral Theory

Scientific paper

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 perturbed systems we study when masses and springs can be reconstructed. This is a problem about rank two or rank three type perturbations of finite Jacobi matrices where we are able to describe quite explicitly the associated Green's functions. We give necessary and sufficient conditions for two given sets of points to be eigenvalues of the original and modified system respectively.

Affiliated with

Also associated with

No associations

Rating

Inverse problems for Jacobi operators I: Interior mass-spring perturbations in finite systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Inverse problems for Jacobi operators I: Interior mass-spring perturbations in finite systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse problems for Jacobi operators I: Interior mass-spring perturbations in finite systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578756