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- W2136998220 abstract "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, which do not depend on the eigenvalue parameter. While the usual resolvent norm addresses this question for a single eigenvalue of multiplicity one, the general setting involving several eigenvalues is significantly more difficult. Under mild assumptions, we derive a singular value optimization characterization for the minimal perturbation that addresses the general case." @default.
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- W2136998220 date "2014-01-01" @default.
- W2136998220 modified "2023-09-27" @default.
- W2136998220 title "Nonlinear Eigenvalue Problems with Specified Eigenvalues" @default.
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- W2136998220 doi "https://doi.org/10.1137/130927462" @default.
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