Rational spectral filters with optimal convergence rate

13 Jan 2020 Kollnig Konrad RWTH Aachen University Bientinesi Paolo Umeå University Di Napoli Edoardo Juelich Supercomputing Centre, Forschungszentrum Juelich

In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of large and sparse eigenvalue problems. Building upon recent performance improvements through non-linear least square optimization of so-called rational filters, we introduce a systematic method to design these filters by minimizing the worst-case convergence ratio and eliminate the parametric dependence on weight functions... (read more)

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