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Conference Paper: Efficient matrix exponential method based on extended Krylov subspace for transient simulation of large-scale linear circuits

TitleEfficient matrix exponential method based on extended Krylov subspace for transient simulation of large-scale linear circuits
Authors
KeywordsArnoldi process
Better performance
Krylov sub spaces
Linear circuits
Matrix exponentials
Numerical results
Transient simulation
Under-sampling
Issue Date2014
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000194
Citation
The 19th Asia and South Pacific Design Automation Conference (ASP-DAC 2014), Suntec, Singapore, 20-23 January 2014. In Conference Proceedings, 2014, p. 262-266 How to Cite?
AbstractMatrix exponential (MEXP) method has been demonstrated to be a competitive candidate for transient simulation of very large-scale integrated circuits. Nevertheless, the performance of MEXP based on ordinary Krylov subspace is unsatisfactory for stiff circuits, wherein the underlying Arnoldi process tends to oversample the high magnitude part of the system spectrum while undersampling the low magnitude part that is important to the final accuracy. In this work we explore the use of extended Krylov subspace to generate more accurate and efficient approximation for MEXP. We also develop a formulation that allows unequal positive and negative dimensions in the generated Krylov subspace for better performance. Numerical results demonstrate the efficacy of the proposed method. © 2014 IEEE.
DescriptionPaper 3C-3
Persistent Identifierhttp://hdl.handle.net/10722/201220
ISBN

 

DC FieldValueLanguage
dc.contributor.authorChen, Qen_US
dc.contributor.authorZhao, Wen_US
dc.contributor.authorWong, Nen_US
dc.date.accessioned2014-08-21T07:18:16Z-
dc.date.available2014-08-21T07:18:16Z-
dc.date.issued2014en_US
dc.identifier.citationThe 19th Asia and South Pacific Design Automation Conference (ASP-DAC 2014), Suntec, Singapore, 20-23 January 2014. In Conference Proceedings, 2014, p. 262-266en_US
dc.identifier.isbn978-1-4799-2816-3-
dc.identifier.urihttp://hdl.handle.net/10722/201220-
dc.descriptionPaper 3C-3-
dc.description.abstractMatrix exponential (MEXP) method has been demonstrated to be a competitive candidate for transient simulation of very large-scale integrated circuits. Nevertheless, the performance of MEXP based on ordinary Krylov subspace is unsatisfactory for stiff circuits, wherein the underlying Arnoldi process tends to oversample the high magnitude part of the system spectrum while undersampling the low magnitude part that is important to the final accuracy. In this work we explore the use of extended Krylov subspace to generate more accurate and efficient approximation for MEXP. We also develop a formulation that allows unequal positive and negative dimensions in the generated Krylov subspace for better performance. Numerical results demonstrate the efficacy of the proposed method. © 2014 IEEE.en_US
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000194en_US
dc.relation.ispartofAsia and South Pacific Design Automation Conference Proceedingsen_US
dc.rights©2014 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.en_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong Licenseen_US
dc.subjectArnoldi process-
dc.subjectBetter performance-
dc.subjectKrylov sub spaces-
dc.subjectLinear circuits-
dc.subjectMatrix exponentials-
dc.subjectNumerical results-
dc.subjectTransient simulation-
dc.subjectUnder-sampling-
dc.titleEfficient matrix exponential method based on extended Krylov subspace for transient simulation of large-scale linear circuitsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChen, Q: q1chen@hku.hken_US
dc.identifier.emailWong, N: nwong@eee.hku.hken_US
dc.identifier.authorityChen, Q=rp01688en_US
dc.identifier.authorityWong, N=rp00190en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/ASPDAC.2014.6742900en_US
dc.identifier.scopuseid_2-s2.0-84897896319-
dc.identifier.hkuros233475en_US
dc.identifier.spage262en_US
dc.identifier.epage266en_US
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 140902-

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