Abstract
We consider the sensitivity of the inverse singular value problems. Under the assumptions that the given singular values are distinct and the Jacobian matrix at the solution c* is nonsingular, a perturbation theorem is established where the existence of solutions to the perturbed problem is proved and the estimation is presented. Moreover, numerical experiments are given in the last section to illustrate our theoretical result.
| Original language | American English |
|---|---|
| Pages (from-to) | 945-956 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 17 |
| Issue number | 5 |
| State | Published - 2016 |
Keywords
- CONVERGENCE
- EIGENVALUE PROBLEMS
- Inverse problem
- NUMERICAL-METHODS
- Newton's method
- singular value