A block tangential Lanczos method for model reduction of large-scale first and second order dynamical systems

2019/03/16 by Kaouane, Yassine, Jbilou, Khalide
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1903.06876

Abstract

In this paper, we present a new approach for model reduction of large scale first and second order dynamical systems with multiple inputs and multiple outputs (MIMO). This approach is based on the projection of the initial problem onto tangential Krylov subspaces to produce a simpler reduced-order model that approximates well the behavior of the original model. We present an algorithm named: Adaptive Block Tangential Lanczos-type (ABTL) algorithm. We give some algebraic properties and present some numerical experiences to show the effectiveness of the proposed algorithms.

Related

• A rational Krylov methods for large scale linear multidimensional dynamical systems
• A model reduction method for large-scale linear multidimensional dynamical systems
• Iterative Rational Krylov Algorithms for model reduction of a class of constrained structural dynamic system with Engineering applications
• A reduced-IRKA method for large-scale H₂-optimal model order reduction
• Pade-Type Model Reduction of Second-Order and Higher-Order Linear Dynamical Systems