An adaptive rational block Lanczos-type algorithm for model reduction of large scale dynamical systems

DOI10.1007/s10915-015-0077-5zbMath1339.65083OpenAlexW966187197MaRDI QIDQ293109

Houda Barkouki, Abdeslem Hafid Bentbib, Khalide Jbilou

Publication date: 9 June 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-015-0077-5

zbMATH Keywords

algorithmtransfer functiondynamical systemnumerical experimentmodel-order reductionmoment matchingmulti-input and multi-outputrational block Lanczosrational Krylov subspaces

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05)

Related Items (6)

A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method ⋮ A computational global tangential Krylov subspace method for model reduction of large-scale MIMO dynamical systems ⋮ The Block Rational Arnoldi Method ⋮ An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems ⋮ An adaptive block tangential method for multi-input multi-output dynamical systems ⋮ A matrix rational Lanczos method for model reduction in large‐scale first‐ and second‐order dynamical systems

Uses Software

• LYAPACK
• ABLE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive rational interpolation: Arnoldi and Lanczos-like equations
• Adaptive-order rational Arnoldi-type methods in computational electromagnetism
• Adaptive rational Krylov subspaces for large-scale dynamical systems
• Rational interpolation and state-variable realizations
• Model reduction in large scale MIMO dynamical systems via the block Lanczos method
• On the partial realization problem
• Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs
• Sylvester equations and projection-based model reduction.
• A rational Lanczos algorithm for model reduction
• An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems
• Model reduction of large-scale systems by least squares
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• ABLE: An Adaptive Block Lanczos Method for Non-Hermitian Eigenvalue Problems

This page was built for publication: An adaptive rational block Lanczos-type algorithm for model reduction of large scale dynamical systems