About: Iterative rational Krylov algorithm

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

The iterative rational Krylov algorithm (IRKA), is an iterative algorithm, useful for model order reduction (MOR) of single-input single-output (SISO) linear time-invariant dynamical systems. At each iteration, IRKA does an Hermite type interpolation of the original system transfer function. Each interpolation requires solving shifted pairs of linear systems, each of size ; where is the original system order, and is the desired reduced model order (usually ).

Property Value
dbo:abstract
  • The iterative rational Krylov algorithm (IRKA), is an iterative algorithm, useful for model order reduction (MOR) of single-input single-output (SISO) linear time-invariant dynamical systems. At each iteration, IRKA does an Hermite type interpolation of the original system transfer function. Each interpolation requires solving shifted pairs of linear systems, each of size ; where is the original system order, and is the desired reduced model order (usually ). The algorithm was first introduced by Gugercin, Antoulas and Beattie in 2008. It is based on a first order necessary optimality condition, initially investigated by Meier and Luenberger in 1967. The first convergence proof of IRKA was given by Flagg, Beattie and Gugercin in 2012, for a particular kind of systems. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 67858994 (xsd:integer)
dbo:wikiPageLength
  • 9050 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1056575282 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dct:subject
rdfs:comment
  • The iterative rational Krylov algorithm (IRKA), is an iterative algorithm, useful for model order reduction (MOR) of single-input single-output (SISO) linear time-invariant dynamical systems. At each iteration, IRKA does an Hermite type interpolation of the original system transfer function. Each interpolation requires solving shifted pairs of linear systems, each of size ; where is the original system order, and is the desired reduced model order (usually ). (en)
rdfs:label
  • Iterative rational Krylov algorithm (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License