Title
A Tangential Block Lanczos Method for Model Reduction of Large-Scale First and Second Order Dynamical Systems.
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. This approach is based on the projection of the initial problem onto tangential subspaces to produce a simpler reduced-order model that approximates well the behaviour of the original model. We present an algorithm named: adaptive block tangential Lanczos-type algorithm. We give some algebraic properties and present some numerical experiences to show the effectiveness of the proposed algorithms.
Year
DOI
Venue
2019
10.1007/s10915-019-01032-y
Journal of Scientific Computing
Keywords
Field
DocType
Block Lanczos, Interpolation, Model reduction, Tangential directions
Applied mathematics,Lanczos resampling,Mathematical analysis,Interpolation,Linear subspace,Dynamical systems theory,Algebraic properties,Mathematics
Journal
Volume
Issue
ISSN
81
1
0885-7474
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Khalide Jbilou13812.08
Yassine Kaouane200.68