{"id":"https://openalex.org/W1989494662","doi":"https://doi.org/10.1145/1120725.1120831","title":"Relaxed hierarchical power/ground grid analysis","display_name":"Relaxed hierarchical power/ground grid analysis","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1989494662","doi":"https://doi.org/10.1145/1120725.1120831","mag":"1989494662"},"language":"en","primary_location":{"id":"doi:10.1145/1120725.1120831","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1120725.1120831","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 conference on Asia South Pacific design automation - ASP-DAC '05","raw_type":"proceedings-article"},"type":"conference-abstract","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100894724","display_name":"Yici Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yici Cai","raw_affiliation_strings":["Tsinghua University, Beijing, P.R.China","TsingHua University, Beijing, P.R. China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, Beijing, P.R.China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"TsingHua University, Beijing, P.R. China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103444664","display_name":"Pan Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhu Pan","raw_affiliation_strings":["Tsinghua University, Beijing, P.R.China","TsingHua University, Beijing, P.R. China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, Beijing, P.R.China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"TsingHua University, Beijing, P.R. China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058844682","display_name":"Sheldon X.-D. Tan","orcid":"https://orcid.org/0000-0003-2119-6869"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shelton X-D Tan","raw_affiliation_strings":["University of California at Riverside, Riverside CA","Univ. of California at Riverside, Riverside, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Riverside, Riverside CA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"Univ. of California at Riverside, Riverside, CA#TAB#","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111768666","display_name":"Xianlong Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianlong Hong","raw_affiliation_strings":["Tsinghua University, Beijing, P.R.China","TsingHua University, Beijing, P.R. China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, Beijing, P.R.China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"TsingHua University, Beijing, P.R. China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101127962","display_name":"Wenting Hou","orcid":null},"institutions":[{"id":"https://openalex.org/I66217453","display_name":"Cadence Design Systems (United States)","ror":"https://ror.org/04w8xa018","country_code":"US","type":"company","lineage":["https://openalex.org/I66217453"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wenting Hou","raw_affiliation_strings":["Cadence Design Systems, CA","Cadence Design Systems, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cadence Design Systems, CA","institution_ids":["https://openalex.org/I66217453"]},{"raw_affiliation_string":"Cadence Design Systems, CA#TAB#","institution_ids":["https://openalex.org/I66217453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072183122","display_name":"Lifeng Wu","orcid":"https://orcid.org/0000-0002-1210-5411"},"institutions":[{"id":"https://openalex.org/I66217453","display_name":"Cadence Design Systems (United States)","ror":"https://ror.org/04w8xa018","country_code":"US","type":"company","lineage":["https://openalex.org/I66217453"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lifeng Wu","raw_affiliation_strings":["Cadence Design Systems, CA","Cadence Design Systems, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cadence Design Systems, CA","institution_ids":["https://openalex.org/I66217453"]},{"raw_affiliation_string":"Cadence Design Systems, CA#TAB#","institution_ids":["https://openalex.org/I66217453"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1090","last_page":"1090"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7186474204063416},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.6429606676101685},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6391593217849731},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.5979946851730347},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5063644647598267},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5054769515991211},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.490866482257843},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4899844229221344},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4401228427886963},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4336736798286438},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4291141927242279},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4274532198905945},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4146421253681183},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3658800721168518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1474345326423645},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.10127943754196167}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7186474204063416},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.6429606676101685},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6391593217849731},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.5979946851730347},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5063644647598267},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5054769515991211},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.490866482257843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4899844229221344},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4401228427886963},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4336736798286438},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4291141927242279},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4274532198905945},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4146421253681183},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3658800721168518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1474345326423645},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.10127943754196167},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1120725.1120831","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1120725.1120831","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 conference on Asia South Pacific design automation - ASP-DAC '05","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1572442990","https://openalex.org/W2029506076","https://openalex.org/W2107730998","https://openalex.org/W2110295511","https://openalex.org/W2124878724","https://openalex.org/W2131254145","https://openalex.org/W2144558399","https://openalex.org/W2165955243","https://openalex.org/W2168650220","https://openalex.org/W2168747796","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2027972911","https://openalex.org/W2146343568","https://openalex.org/W2013643406","https://openalex.org/W2157978810","https://openalex.org/W2111089054","https://openalex.org/W2597809628"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3],"novel":[4],"hierarchical":[5,20,99],"approach":[6,21,52],"to":[7,38,58],"the":[8,18,33,42,50,61,70,90,97,106],"efficient":[9,77],"analysis":[10],"of":[11],"large":[12,47],"VLSI":[13],"power/ground":[14],"grids.":[15,85],"Different":[16],"from":[17],"existing":[19,98],"where":[22],"sub-circuit":[23],"equivalent":[24],"models":[25],"are":[26],"sparsified":[27],"with":[28],"computation-intensive":[29],"integer":[30],"programming":[31],"and":[32,63],"resulting":[34],"modeling":[35],"may":[36],"lead":[37],"larger":[39],"errors":[40,62],"if":[41],"top":[43],"circuit":[44,71],"matrix":[45,67],"has":[46],"condition":[48],"number,":[49],"new":[51,91],"employs":[53],"an":[54,76],"iterative":[55],"(relaxation)":[56],"procedure":[57],"explicitly":[59],"compensate":[60],"avoid":[64],"introducing":[65],"dense":[66],"caused":[68],"by":[69],"reduction.":[72],"We":[73],"also":[74],"propose":[75],"scheme":[78],"for":[79],"partitioning":[80],"high":[81],"performance":[82],"center-bumped":[83],"P/G":[84],"Experimental":[86],"results":[87],"demonstrate":[88],"that":[89],"algorithm":[92],"is":[93],"more":[94,103],"accurate":[95],"than":[96],"method":[100],"while":[101],"delivering":[102],"speedup":[104],"over":[105],"flat":[107],"simulators.":[108]},"counts_by_year":[],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}