International Journal of Computer Mathematics
Journal of Computational Physics
Model reduction for large-scale dynamical systems via equality constrained least squares
Journal of Computational and Applied Mathematics
Model reduction for RF MEMS simulation
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Structure-preserving model reduction
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Structure preserving model-order reductions of MIMO second-order systems using Arnoldi methods
Mathematical and Computer Modelling: An International Journal
Krylov-Based Model Order Reduction of Time-delay Systems
SIAM Journal on Matrix Analysis and Applications
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A structure-preserving dimension reduction algorithm for large-scale second-order dynamical systems is presented. It is a projection method based on a second-order Krylov subspace. A second-order Arnoldi (SOAR) method is used to generate an orthonormal basis of the projection subspace. The reduced system not only preserves the second-order structure but also has the same order of approximation as the standard Arnoldi-based Krylov subspace method via linearization. The superior numerical properties of the SOAR-based method are demonstrated by examples from structural dynamics and microelectromechanical systems.