QDPA
Computing transfer function dominant poles of large-scale second-order dynamical systems. A new algorithm for the computation of dominant poles of transfer functions of large-scale second-order dynamical systems is presented: the quadratic dominant pole algorithm (QDPA). The algorithm works directly with the system matrices of the original system, so no linearization is needed. To improve global convergence, the QDPA uses subspace acceleration, and deflation of found dominant poles is implemented in a very efficient way. The dominant poles and corresponding eigenvectors can be used to construct structure-preserving modal approximations and also to improve reduced-order models computed by Krylov subspace methods, as is illustrated by numerical results.
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References in zbMATH (referenced in 10 articles , 1 standard article )
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Sorted by year (- Benner, Peter; Werner, Steffen W. R.: Frequency- and time-limited balanced truncation for large-scale second-order systems (2021)
- Deckers, Elke; Desmet, Wim; Meerbergen, Karl; Naets, Frank: Case studies of model order reduction for acoustics and vibrations (2021)
- Beattie, Christopher; Gugercin, Serkan; TomljanoviÄ‡, Zoran: Sampling-free model reduction of systems with low-rank parameterization (2020)
- Campos, Carmen; Roman, Jose E.: A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation (2020)
- Benner, Peter; Mitchell, Tim: Faster and more accurate computation of the (\mathcalH_\infty) norm via optimization (2018)
- Saadvandi, Maryam; Meerbergen, Karl; Desmet, Wim: Parametric dominant pole algorithm for parametric model order reduction (2014)
- Rommes, Joost: Challenges in model order reduction for industrial problems (2012)
- Saadvandi, Maryam; Meerbergen, Karl; Jarlebring, Elias: On dominant poles and model reduction of second order time-delay systems (2012)
- Rommes, Joost; Martins, Nelson: Exploiting structure in large-scale electrical circuit and power system problems (2009)
- Rommes, Joost; Martins, Nelson: Computing transfer function dominant poles of large-scale second-order dynamical systems (2008)