Nonlinear Eigenvalue Problems with Specified Eigenvalues
Nonlinear Eigenvalue Problems with Specified Eigenvalues
This work considers eigenvalue problems that are nonlinear in the eigenvalue parameter. Given such a nonlinear eigenvalue problem $T$, we are concerned with finding the minimal backward error such that $T$ has a set of prescribed eigenvalues with prescribed algebraic multiplicities. We consider backward errors that only allow constant perturbations, …