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The convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors

The convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors

This paper concerns a harmonic projection method for computing an approximation to an eigenpair (λ, x) of a large matrix A. Given a target point τ and a subspace W that contains an approximation to x, the harmonic projection method returns an approximation (µ + τ, x) to (λ, x).Three …