An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems

An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems In this paper, we propose an extended block Krylov process to construct two biorthogonal bases for the extended Krylov subspaces $$\mathbb {K}_{m}^e(A,V)$$ K m e ( A , V ) and $$\mathbb {K}_{m}^e(A^{T},W)$$ K m e ( A T , W ) , where $$A \in \mathbb {R}^{n \times n}$$ A ∈ R n × n and $$V,~W \in \mathbb {R}^{n \times p}$$ V , W ∈ R n × p . After deriving some new theoretical results and algebraic properties, we apply the proposed algorithm with moment matching techniques for model reduction in large scale dynamical systems. Numerical experiments for large and sparse problems are given to show the efficiency of the proposed method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Calcolo Springer Journals

An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems

Loading next page...
 
/lp/springer_journal/an-extended-nonsymmetric-block-lanczos-method-for-model-reduction-in-jOEINoymaV
Publisher
Springer Milan
Copyright
Copyright © 2018 by Springer-Verlag Italia S.r.l., part of Springer Nature
Subject
Mathematics; Numerical Analysis; Theory of Computation
ISSN
0008-0624
eISSN
1126-5434
D.O.I.
10.1007/s10092-018-0248-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we propose an extended block Krylov process to construct two biorthogonal bases for the extended Krylov subspaces $$\mathbb {K}_{m}^e(A,V)$$ K m e ( A , V ) and $$\mathbb {K}_{m}^e(A^{T},W)$$ K m e ( A T , W ) , where $$A \in \mathbb {R}^{n \times n}$$ A ∈ R n × n and $$V,~W \in \mathbb {R}^{n \times p}$$ V , W ∈ R n × p . After deriving some new theoretical results and algebraic properties, we apply the proposed algorithm with moment matching techniques for model reduction in large scale dynamical systems. Numerical experiments for large and sparse problems are given to show the efficiency of the proposed method.

Journal

CalcoloSpringer Journals

Published: Feb 21, 2018

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off