{"id":"https://openalex.org/W1896502719","doi":"https://doi.org/10.1007/978-3-642-11957-6_3","title":"Coupling Policy Iteration with Semi-definite Relaxation to Compute Accurate Numerical Invariants in Static Analysis","display_name":"Coupling Policy Iteration with Semi-definite Relaxation to Compute Accurate Numerical Invariants in Static Analysis","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1896502719","doi":"https://doi.org/10.1007/978-3-642-11957-6_3","mag":"1896502719"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-11957-6_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-11957-6_3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-11957-6_3.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-11957-6_3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071154474","display_name":"Assal\u00e9 Adj\u00e9","orcid":"https://orcid.org/0000-0002-7443-3170"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210085861","display_name":"Laboratoire d'Int\u00e9gration des Syst\u00e8mes et des Technologies","ror":"https://ror.org/000dbcc61","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210085861","https://openalex.org/I4210117989"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Assal\u00e9 Adj\u00e9","raw_affiliation_strings":["CEA, LIST and LIX, Ecole Polytechnique (MeASI), Palaiseau Cedex, France"],"affiliations":[{"raw_affiliation_string":"CEA, LIST and LIX, Ecole Polytechnique (MeASI), Palaiseau Cedex, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I4210085861","https://openalex.org/I142476485","https://openalex.org/I2738703131"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082671255","display_name":"St\u00e9phane Gaubert","orcid":"https://orcid.org/0000-0002-2777-9988"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"St\u00e9phane Gaubert","raw_affiliation_strings":["INRIA Saclay and CMAP, Ecole Polytechnique, Palaiseau Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay and CMAP, Ecole Polytechnique, Palaiseau Cedex, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031488505","display_name":"\u00c9ric Goubault","orcid":"https://orcid.org/0000-0002-3198-1863"},"institutions":[{"id":"https://openalex.org/I4210085861","display_name":"Laboratoire d'Int\u00e9gration des Syst\u00e8mes et des Technologies","ror":"https://ror.org/000dbcc61","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210085861","https://openalex.org/I4210117989"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Goubault","raw_affiliation_strings":["CEA, LIST (MeASI), Gif-sur-Yvette Cedex, France","CEA, LIST (MeASI), Gif-sur-Yvette Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"CEA, LIST (MeASI), Gif-sur-Yvette Cedex, France","institution_ids":["https://openalex.org/I4210085861","https://openalex.org/I2738703131"]},{"raw_affiliation_string":"CEA, LIST (MeASI), Gif-sur-Yvette Cedex, France#TAB#","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210085861"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071154474"],"corresponding_institution_ids":["https://openalex.org/I142476485","https://openalex.org/I2738703131","https://openalex.org/I4210085861","https://openalex.org/I4210139461"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":31.6008,"has_fulltext":true,"cited_by_count":47,"citation_normalized_percentile":{"value":0.99753086,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"23","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9930999875068665,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7406586408615112},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6107140183448792},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5518440008163452},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.5057854652404785},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4540369212627411},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34543082118034363},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18467485904693604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12270498275756836},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06030631065368652},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.052195996046066284}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7406586408615112},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6107140183448792},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5518440008163452},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.5057854652404785},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4540369212627411},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34543082118034363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18467485904693604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12270498275756836},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06030631065368652},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.052195996046066284},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","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},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-11957-6_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-11957-6_3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-11957-6_3.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.637.3384","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.637.3384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lix.polytechnique.fr/~goubault/papers/esop3.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-11957-6_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-11957-6_3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-11957-6_3.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322263","display_name":"Conseil R\u00e9gional, \u00cele-de-France","ror":"https://ror.org/04ry1rt27"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1896502719.pdf","grobid_xml":"https://content.openalex.org/works/W1896502719.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W89892127","https://openalex.org/W131685440","https://openalex.org/W573706636","https://openalex.org/W1499439642","https://openalex.org/W1503756333","https://openalex.org/W1507199453","https://openalex.org/W1531851716","https://openalex.org/W1540154185","https://openalex.org/W1547121950","https://openalex.org/W1558356971","https://openalex.org/W1559488388","https://openalex.org/W1568307856","https://openalex.org/W1604596197","https://openalex.org/W1608100572","https://openalex.org/W1632601927","https://openalex.org/W1640404740","https://openalex.org/W1939118998","https://openalex.org/W1963753244","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1981437696","https://openalex.org/W2003141394","https://openalex.org/W2011039300","https://openalex.org/W2018556306","https://openalex.org/W2043100293","https://openalex.org/W2061830070","https://openalex.org/W2093397547","https://openalex.org/W2099629271","https://openalex.org/W2100440346","https://openalex.org/W2104021743","https://openalex.org/W2114614628","https://openalex.org/W2118807841","https://openalex.org/W2136333450","https://openalex.org/W2142274086","https://openalex.org/W2143100820","https://openalex.org/W2153421566","https://openalex.org/W2536620281","https://openalex.org/W2611288859","https://openalex.org/W3158532942","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1502458949","https://openalex.org/W2051487156","https://openalex.org/W2323830966","https://openalex.org/W188032563","https://openalex.org/W2362838148","https://openalex.org/W2073681303","https://openalex.org/W2359279826","https://openalex.org/W2085581092","https://openalex.org/W2461192156","https://openalex.org/W2412311587"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
