A general framework for iterative contour integral-based methods for nonlinear eigenvalue problems is introduced, enabling a proof of linear convergence for NLFEAST under mild assumptions.
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Establishes a priori convergence of Ritz values and refined Ritz vectors (unconditional) versus Ritz vectors (conditional) for simple eigenpairs of analytic regular NEPs as the subspace deviation ε tends to zero, plus residual-based error bounds.
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Linear convergence of iterative contour integral-based eigensolvers for nonlinear eigenvalue problems
A general framework for iterative contour integral-based methods for nonlinear eigenvalue problems is introduced, enabling a proof of linear convergence for NLFEAST under mild assumptions.
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An analysis of the Rayleigh-Ritz and refined Rayleigh-Ritz methods for regular nonlinear eigenvalue problems
Establishes a priori convergence of Ritz values and refined Ritz vectors (unconditional) versus Ritz vectors (conditional) for simple eigenpairs of analytic regular NEPs as the subspace deviation ε tends to zero, plus residual-based error bounds.