{"id":"https://openalex.org/W331525950","doi":"https://doi.org/10.1007/978-3-319-06410-9_38","title":"Computing Quadratic Invariants with Min- and Max-Policy Iterations: A Practical Comparison","display_name":"Computing Quadratic Invariants with Min- and Max-Policy Iterations: A Practical Comparison","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W331525950","doi":"https://doi.org/10.1007/978-3-319-06410-9_38","mag":"331525950"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-06410-9_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06410-9_38","pdf_url":null,"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":"conference-paper","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/A5101715842","display_name":"Pierre Le Roux","orcid":"https://orcid.org/0000-0002-0512-0437"},"institutions":[{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]},{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Roux","raw_affiliation_strings":["ISAE, Toulouse, France","ONERA \u2013 The French Aerospace Lab, Toulouse, France","ONERA --- The French Aerospace Lab, Toulouse, France and ISAE, Toulouse, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISAE, Toulouse, France","institution_ids":["https://openalex.org/I193033237"]},{"raw_affiliation_string":"ONERA \u2013 The French Aerospace Lab, Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]},{"raw_affiliation_string":"ONERA --- The French Aerospace Lab, Toulouse, France and ISAE, Toulouse, France#TAB#","institution_ids":["https://openalex.org/I193033237","https://openalex.org/I2801658355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025996200","display_name":"Pierre-Lo\u00efc Garoche","orcid":"https://orcid.org/0000-0002-0513-6076"},"institutions":[{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre-Lo\u00efc Garoche","raw_affiliation_strings":["ONERA \u2013 The French Aerospace Lab, Toulouse, France","ONERA --- The French Aerospace Lab, Toulouse, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ONERA \u2013 The French Aerospace Lab, Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]},{"raw_affiliation_string":"ONERA --- The French Aerospace Lab, Toulouse, France#TAB#","institution_ids":["https://openalex.org/I2801658355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"563","last_page":"578"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9977999925613403,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9977999925613403,"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/T11005","display_name":"Radiation Effects in Electronics","score":0.9929999709129333,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.7819998860359192},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.6886379718780518},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.631976306438446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6207736134529114},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5937502980232239},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.5340626835823059},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5105386972427368},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4730643033981323},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43764346837997437},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3423917889595032},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32198861241340637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.240323007106781},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23760753870010376}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.7819998860359192},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.6886379718780518},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.631976306438446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6207736134529114},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5937502980232239},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.5340626835823059},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5105386972427368},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4730643033981323},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43764346837997437},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3423917889595032},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32198861241340637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.240323007106781},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23760753870010376},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-06410-9_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06410-9_38","pdf_url":null,"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:10.1.1.660.493","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.660.493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso.ens-lyon.fr/pierre.roux/media/submission_fm2014.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W103072036","https://openalex.org/W1503756333","https://openalex.org/W1506256863","https://openalex.org/W1518247129","https://openalex.org/W1522448884","https://openalex.org/W1531851716","https://openalex.org/W1540154185","https://openalex.org/W1547121950","https://openalex.org/W1559488388","https://openalex.org/W1608230613","https://openalex.org/W1705501928","https://openalex.org/W1842017652","https://openalex.org/W1863722042","https://openalex.org/W1885187308","https://openalex.org/W1896502719","https://openalex.org/W1924349676","https://openalex.org/W1983551882","https://openalex.org/W2002757059","https://openalex.org/W2016043649","https://openalex.org/W2043100293","https://openalex.org/W2061830070","https://openalex.org/W2132638915","https://openalex.org/W2142481893","https://openalex.org/W2153421566","https://openalex.org/W2488290634","https://openalex.org/W2796564118","https://openalex.org/W2987077139","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W3176564347","https://openalex.org/W3031039437","https://openalex.org/W3204184292","https://openalex.org/W1985458517","https://openalex.org/W2355833770","https://openalex.org/W3101398262","https://openalex.org/W2119447376","https://openalex.org/W2611090506","https://openalex.org/W2096990506","https://openalex.org/W167896555"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}