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- Publisher Website: 10.1109/ASPDAC.2014.6742900
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Conference Paper: Efficient matrix exponential method based on extended Krylov subspace for transient simulation of large-scale linear circuits
Title | Efficient matrix exponential method based on extended Krylov subspace for transient simulation of large-scale linear circuits |
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Authors | |
Keywords | Arnoldi process Better performance Krylov sub spaces Linear circuits Matrix exponentials Numerical results Transient simulation Under-sampling |
Issue Date | 2014 |
Publisher | IEEE. 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? |
Abstract | Matrix 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. |
Description | Paper 3C-3 |
Persistent Identifier | http://hdl.handle.net/10722/201220 |
ISBN |
DC Field | Value | Language |
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dc.contributor.author | Chen, Q | en_US |
dc.contributor.author | Zhao, W | en_US |
dc.contributor.author | Wong, N | en_US |
dc.date.accessioned | 2014-08-21T07:18:16Z | - |
dc.date.available | 2014-08-21T07:18:16Z | - |
dc.date.issued | 2014 | en_US |
dc.identifier.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 | en_US |
dc.identifier.isbn | 978-1-4799-2816-3 | - |
dc.identifier.uri | http://hdl.handle.net/10722/201220 | - |
dc.description | Paper 3C-3 | - |
dc.description.abstract | Matrix 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.language | eng | en_US |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000194 | en_US |
dc.relation.ispartof | Asia and South Pacific Design Automation Conference Proceedings | en_US |
dc.subject | Arnoldi process | - |
dc.subject | Better performance | - |
dc.subject | Krylov sub spaces | - |
dc.subject | Linear circuits | - |
dc.subject | Matrix exponentials | - |
dc.subject | Numerical results | - |
dc.subject | Transient simulation | - |
dc.subject | Under-sampling | - |
dc.title | Efficient matrix exponential method based on extended Krylov subspace for transient simulation of large-scale linear circuits | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chen, Q: q1chen@hku.hk | en_US |
dc.identifier.email | Wong, N: nwong@eee.hku.hk | en_US |
dc.identifier.authority | Chen, Q=rp01688 | en_US |
dc.identifier.authority | Wong, N=rp00190 | en_US |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/ASPDAC.2014.6742900 | en_US |
dc.identifier.scopus | eid_2-s2.0-84897896319 | - |
dc.identifier.hkuros | 233475 | en_US |
dc.identifier.spage | 262 | en_US |
dc.identifier.epage | 266 | en_US |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 140902 | - |