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Article: Fast positive-real balanced truncation via quadratic alternating direction implicit iteration
Title | Fast positive-real balanced truncation via quadratic alternating direction implicit iteration |
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Authors | |
Keywords | Alternating direction implicit (ADI) Model order reduction (MOR) Positive-real balanced truncation (PRBT) Riccati equation |
Issue Date | 2007 |
Publisher | IEEE. |
Citation | Ieee Transactions On Computer-Aided Design Of Integrated Circuits And Systems, 2007, v. 26 n. 9, p. 1725-1731 How to Cite? |
Abstract | Balanced truncation (BT), as applied to date in model order reduction (MOR), is known for its superior accuracy and computable error bounds. Positive-real BT (PRBT) is a particular BT procedure that preserves passivity and stability and imposes no structural constraints on the original state space. However, PRBT requires solving two algebraic Riccati equations (AREs), whose computational complexity limits its practical use in large-scale systems. This paper introduces a novel quadratic extension of the alternating direction implicit (ADI) iteration, which is called quadratic ADI (QADI), that efficiently solves an ARE. A Cholesky factor version of QADI, which is called CEQADI, exploits low-rank matrices and further accelerates PRBT. © 2007 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/57472 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 0.957 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Wong, N | en_HK |
dc.contributor.author | Balakrishnan, V | en_HK |
dc.date.accessioned | 2010-04-12T01:37:32Z | - |
dc.date.available | 2010-04-12T01:37:32Z | - |
dc.date.issued | 2007 | en_HK |
dc.identifier.citation | Ieee Transactions On Computer-Aided Design Of Integrated Circuits And Systems, 2007, v. 26 n. 9, p. 1725-1731 | en_HK |
dc.identifier.issn | 0278-0070 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/57472 | - |
dc.description.abstract | Balanced truncation (BT), as applied to date in model order reduction (MOR), is known for its superior accuracy and computable error bounds. Positive-real BT (PRBT) is a particular BT procedure that preserves passivity and stability and imposes no structural constraints on the original state space. However, PRBT requires solving two algebraic Riccati equations (AREs), whose computational complexity limits its practical use in large-scale systems. This paper introduces a novel quadratic extension of the alternating direction implicit (ADI) iteration, which is called quadratic ADI (QADI), that efficiently solves an ARE. A Cholesky factor version of QADI, which is called CEQADI, exploits low-rank matrices and further accelerates PRBT. © 2007 IEEE. | en_HK |
dc.language | eng | en_HK |
dc.publisher | IEEE. | en_HK |
dc.relation.ispartof | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems | en_HK |
dc.rights | ©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | - |
dc.subject | Alternating direction implicit (ADI) | en_HK |
dc.subject | Model order reduction (MOR) | en_HK |
dc.subject | Positive-real balanced truncation (PRBT) | en_HK |
dc.subject | Riccati equation | en_HK |
dc.title | Fast positive-real balanced truncation via quadratic alternating direction implicit iteration | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0278-0070&volume=26&issue=9&spage=1725&epage=1731&date=2007&atitle=Fast+positive-real+balanced+truncation+via+quadratic+alternating+direction+implicit+iteration | en_HK |
dc.identifier.email | Wong, N:nwong@eee.hku.hk | en_HK |
dc.identifier.authority | Wong, N=rp00190 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1109/TCAD.2007.895617 | en_HK |
dc.identifier.scopus | eid_2-s2.0-34548231081 | en_HK |
dc.identifier.hkuros | 133599 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-34548231081&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 26 | en_HK |
dc.identifier.issue | 9 | en_HK |
dc.identifier.spage | 1725 | en_HK |
dc.identifier.epage | 1731 | en_HK |
dc.identifier.isi | WOS:000249309200017 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Wong, N=35235551600 | en_HK |
dc.identifier.scopusauthorid | Balakrishnan, V=7102659847 | en_HK |
dc.identifier.issnl | 0278-0070 | - |