Data-Driven Spectral Analysis with Pseudo-Resolvent Koopman Operator
Analysis
Key Takeaways
- •Presents a data-driven method for spectral analysis of the Koopman operator.
- •Addresses spectral pollution in finite-dimensional approximations.
- •Constructs a pseudo-resolvent operator using the Sherman-Morrison-Woodbury identity.
- •Demonstrates effectiveness in suppressing spectral pollution and resolving closely spaced spectral components.
- •Provides convergence guarantees and error bounds for eigenvalue approximation.
“The method effectively suppresses spectral pollution and resolves closely spaced spectral components.”