Spectra and Pseudospectra¶
Trefethen, L. N., & Embree, M. (2005). Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators. Princeton University Press.
Cited by¶
2 citations across 2 artifacts.
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Domain-specific¶
Mechanisms¶
- Eigendecomposition Workflow
- For non-normal operators the eigenvectors can be nearly parallel and wildly ill-conditioned, so the tidy modal picture is numerically fragile, and — worse — the eigenvalues alone can hide large transient growth that erupts before the asymptotic decay the spectrum promises.
This sourceShows that nonnormal systems can have ill-conditioned eigenvectors and large transient amplification even when their eigenvalues predict eventual decay.
- For non-normal operators the eigenvectors can be nearly parallel and wildly ill-conditioned, so the tidy modal picture is numerically fragile, and — worse — the eigenvalues alone can hide large transient growth that erupts before the asymptotic decay the spectrum promises.
Verification¶
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Registry ID ref:0415421a691b · see in the full table