<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The fully adaptive rational global Arnoldi method (AIRGA) for the modelorder reduction of second-order multi-input multi-output systems with proportional damping is revisited. The method automatically generates a reduced system approximating the transfer function. It is based on a moment-matching approach. The expansion points are determined iteratively. The reduced order and the number of moments matched per expansion point are determined adaptively using a heuristic based on an error estimation. A revised moment error expression is presented as well as some related findings.</p></abstract>

The fully adaptive rational global Arnoldi method (AIRGA) for the modelorder reduction of second-order multi-input multi-output systems with proportional damping is revisited. The method automatically generates a reduced system approximating the transfer function. It is based on a moment-matching approach. The expansion points are determined iteratively. The reduced order and the number of moments matched per expansion point are determined adaptively using a heuristic based on an error estimation. A revised moment error expression is presented as well as some related findings.

A revised moment error expression for the AIRGA algorithm

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A revised moment error expression for the AIRGA algorithm"}

The fully adaptive rational global Arnoldi method (AIRGA) for the modelorder reduction of second-order multi-input multi-output systems with proportional...

A revised moment error expression for the AIRGA algorithm

Published Online: Nov 22, 2018

Page range: 87 - 104

Received: Mar 01, 2017

Accepted: Aug 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0020

Keywords
Model Order Reduction, Krylov Subspace, Global Arnoldi Algorithm, Moment Matching, Second Order, Proportional Damping

© 2018 Heike Faßbender, Julius Mayer, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A revised moment error expression for the AIRGA algorithm

Published Online: Nov 22, 2018

Page range: 87 - 104

Received: Mar 01, 2017

Accepted: Aug 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0020

KeywordsModel Order Reduction, Krylov Subspace, Global Arnoldi Algorithm, Moment Matching, Second Order, Proportional Damping

© 2018 Heike Faßbender, Julius Mayer, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Model Order Reduction, Krylov Subspace, Global Arnoldi Algorithm, Moment Matching, Second Order, Proportional Damping