{"id":"https://openalex.org/W2106850246","doi":"https://doi.org/10.1109/cdc.2002.1184594","title":"Introducing SOSTOOLS: a general purpose sum of squares programming solver","display_name":"Introducing SOSTOOLS: a general purpose sum of squares programming solver","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W2106850246","doi":"https://doi.org/10.1109/cdc.2002.1184594","mag":"2106850246"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184594","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},"type":"article","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/A5022400557","display_name":"S. Prajna","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Prajna","raw_affiliation_strings":["Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053811056","display_name":"Antonis Papachristodoulou","orcid":"https://orcid.org/0000-0002-3565-8967"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Papachristodoulou","raw_affiliation_strings":["Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031935416","display_name":"Pablo A. Parrilo","orcid":"https://orcid.org/0000-0003-1132-8477"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"P.A. Parrilo","raw_affiliation_strings":["Institut f\u00fcr Automatik, ETH Zurich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Automatik, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":23.4337,"has_fulltext":false,"cited_by_count":552,"citation_normalized_percentile":{"value":0.99795859,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"1","issue":null,"first_page":"741","last_page":"746"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.995199978351593,"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/T10142","display_name":"Formal Methods in Verification","score":0.9897000193595886,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.8228276968002319},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7430028915405273},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6521087884902954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6484626531600952},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6043763160705566},{"id":"https://openalex.org/keywords/toolbox","display_name":"Toolbox","score":0.5460110902786255},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5354642271995544},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.5290103554725647},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.47189104557037354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3484615087509155},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24259373545646667},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14316415786743164}],"concepts":[{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.8228276968002319},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7430028915405273},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6521087884902954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6484626531600952},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6043763160705566},{"id":"https://openalex.org/C2777655017","wikidata":"https://www.wikidata.org/wiki/Q1501161","display_name":"Toolbox","level":2,"score":0.5460110902786255},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5354642271995544},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.5290103554725647},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.47189104557037354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3484615087509155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24259373545646667},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14316415786743164},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/cdc.2002.1184594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184594","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:27713","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20111109-140347153","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.208.5974","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.208.5974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://groups.csail.mit.edu/drl/wiki/images/3/3a/parrilo02.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.58.2209","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.2209","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cds.caltech.edu/~antonis/CDC02_2.pdf","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:195fc6a1-ef60-46f6-8b48-be35f1c51584","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:195fc6a1-ef60-46f6-8b48-be35f1c51584","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Conference"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1591868040","https://openalex.org/W1806104592","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1985123706","https://openalex.org/W2001033871","https://openalex.org/W2003232014","https://openalex.org/W2049087128","https://openalex.org/W2103313140","https://openalex.org/W2133404041","https://openalex.org/W2137002893","https://openalex.org/W2492791808","https://openalex.org/W2912522929","https://openalex.org/W3144358832","https://openalex.org/W6679392325"],"related_works":["https://openalex.org/W200101083","https://openalex.org/W2058869626","https://openalex.org/W3010831251","https://openalex.org/W1991217434","https://openalex.org/W2123913166","https://openalex.org/W2034819163","https://openalex.org/W2364160632","https://openalex.org/W2146767785","https://openalex.org/W1522321652","https://openalex.org/W1780286370"],"abstract_inverted_index":{"SOSTOOLS":[0,59,88],"is":[1,60],"a":[2],"MATLAB":[3],"toolbox":[4],"for":[5],"constructing":[6],"and":[7,30,56,87],"solving":[8],"sum":[9,46,64,81],"of":[10,47,54,65,80,82],"squares":[11,48,66,83],"programs.":[12,67],"It":[13],"can":[14],"be":[15],"used":[16,61],"in":[17,85,89],"combination":[18],"with":[19],"semidefinite":[20],"programming":[21,84],"software,":[22],"such":[23],"as":[24,34,36],"SeDuMi,":[25],"to":[26,62,75],"solve":[27,63],"many":[28],"continuous":[29],"combinatorial":[31],"optimization":[32],"problems,":[33],"well":[35],"various":[37],"control-related":[38],"problems.":[39],"The":[40],"paper":[41],"provides":[42],"an":[43],"overview":[44],"on":[45],"programming,":[49],"describes":[50],"the":[51,77],"primary":[52],"features":[53],"SOSTOOLS,":[55],"shows":[57],"how":[58],"Some":[68],"applications":[69],"from":[70],"different":[71],"areas":[72],"are":[73],"presented":[74],"show":[76],"wide":[78],"applicability":[79],"general":[86],"particular.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":23},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":29},{"year":2020,"cited_by_count":32},{"year":2019,"cited_by_count":29},{"year":2018,"cited_by_count":39},{"year":2017,"cited_by_count":39},{"year":2016,"cited_by_count":35},{"year":2015,"cited_by_count":21},{"year":2014,"cited_by_count":23},{"year":2013,"cited_by_count":28},{"year":2012,"cited_by_count":29}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
