A natural normalization makes the Evans function magnitude a lower bound on spectral distance, so non-zero values certify a disk in the resolvent set.
Numerical implementation of complex orthogonaliza- tion, parallel transport on Stiefel bundles, and analyticity.Physica D: Nonlinear Phenomena, 239(12):1038–1047
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The Evans function as a lower bound on the spectral distance function
A natural normalization makes the Evans function magnitude a lower bound on spectral distance, so non-zero values certify a disk in the resolvent set.