Computing Transfer Function Dominant Poles of Large-Scale Second-Order Dynamical Systems

DOI10.1137/070684562zbMath1168.65338OpenAlexW2088809856MaRDI QIDQ5320701

Nelson Martins, Joost Rommes

Publication date: 22 July 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070684562

zbMATH Keywords

global convergencenumerical resultslarge-scale systemstransfer functioneigenvectorsmodel reductionmodal analysisquadratic eigenvalue problemmodal approximationdominant polesrational Krylov subspace methodsecond-order dynamical systemssubspace accelerationdominant pole algorithmalgorithm quadraticsecond-order Arnoldi methodsparse eigenanalysistransfer function residues

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (9)

Challenges in Model Order Reduction for Industrial Problems ⋮ A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation ⋮ Semi‐active damping optimization of vibrational systems using the parametric dominant pole algorithm ⋮ On dominant poles and model reduction of second order time-delay systems ⋮ Parametric dominant pole algorithm for parametric model order reduction ⋮ Sampling-free model reduction of systems with low-rank parameterization ⋮ Reduced order modelling and predictive control of multivariable nonlinear process ⋮ QDPA ⋮ Exploiting structure in large-scale electrical circuit and power system problems

Uses Software

• DPA_TDEFL

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