{"id":"https://openalex.org/W1992008263","doi":"https://doi.org/10.1145/1377612.1377619","title":"Algorithm 883","display_name":"Algorithm 883","publication_year":2008,"publication_date":"2008-07-01","ids":{"openalex":"https://openalex.org/W1992008263","doi":"https://doi.org/10.1145/1377612.1377619","mag":"1992008263"},"language":"en","primary_location":{"id":"doi:10.1145/1377612.1377619","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1377612.1377619","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-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/A5080255628","display_name":"Hayato Waki","orcid":"https://orcid.org/0000-0002-0531-2201"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hayato Waki","raw_affiliation_strings":["Tokyo Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100333111","display_name":"Sunyoung Kim","orcid":"https://orcid.org/0000-0003-3705-9746"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sunyoung Kim","raw_affiliation_strings":["Ewha W. University"],"affiliations":[{"raw_affiliation_string":"Ewha W. University","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113974670","display_name":"Masakazu Kojima","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masakazu Kojima","raw_affiliation_strings":["Tokyo Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113934718","display_name":"Masakazu Muramatsu","orcid":null},"institutions":[{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masakazu Muramatsu","raw_affiliation_strings":["The University of Electro-Communications"],"affiliations":[{"raw_affiliation_string":"The University of Electro-Communications","institution_ids":["https://openalex.org/I20529979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083584210","display_name":"Hiroshi Sugimoto","orcid":"https://orcid.org/0000-0002-3846-2302"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Sugimoto","raw_affiliation_strings":["Tokyo Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5080255628"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":23.661,"has_fulltext":false,"cited_by_count":173,"citation_normalized_percentile":{"value":0.99815242,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"35","issue":"2","first_page":"1","last_page":"13"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983000159263611,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/semidefinite-programming","display_name":"Semidefinite programming","score":0.7032420635223389},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.6299022436141968},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.6102509498596191},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5792993307113647},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5448803901672363},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4820173978805542},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44368988275527954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4328955113887787},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3993300199508667},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.355050653219223}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7032420635223389},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.6299022436141968},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.6102509498596191},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5792993307113647},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5448803901672363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4820173978805542},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44368988275527954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4328955113887787},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3993300199508667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.355050653219223},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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:10.1145/1377612.1377619","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1377612.1377619","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1408431620","display_name":null,"funder_award_id":"15740054","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G2346086032","display_name":null,"funder_award_id":"R01-2005-000-10271-0","funder_id":"https://openalex.org/F4320322348","funder_display_name":"Korea Science and Engineering Foundation"},{"id":"https://openalex.org/G7032183060","display_name":null,"funder_award_id":"19310096","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7442572062","display_name":null,"funder_award_id":"16016234","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320322348","display_name":"Korea Science and Engineering Foundation","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1967073510","https://openalex.org/W1967344706","https://openalex.org/W1989190791","https://openalex.org/W2001033871","https://openalex.org/W2024457515","https://openalex.org/W2066459185","https://openalex.org/W2066736759","https://openalex.org/W2071143636","https://openalex.org/W2071550336","https://openalex.org/W2090084096","https://openalex.org/W2092162155","https://openalex.org/W2095241077","https://openalex.org/W2113280143","https://openalex.org/W2166798101"],"related_works":["https://openalex.org/W1983756092","https://openalex.org/W2365264209","https://openalex.org/W2381295697","https://openalex.org/W2385886188","https://openalex.org/W4251298892","https://openalex.org/W579949368","https://openalex.org/W2509431957","https://openalex.org/W2026999166","https://openalex.org/W2092089517","https://openalex.org/W2378309693"],"abstract_inverted_index":{"SparsePOP":[0,58],"is":[1,65],"a":[2,15,20,36],"Matlab":[3],"implementation":[4],"of":[5,19,39,47,50,57,63],"the":[6],"sparse":[7,32,37],"semidefinite":[8],"programming":[9],"(SDP)":[10],"relaxation":[11,34],"method":[12],"for":[13],"approximating":[14],"global":[16],"optimal":[17,61],"solution":[18],"polynomial":[21],"optimization":[22],"problem":[23],"(POP)":[24],"proposed":[25],"by":[26],"Waki":[27],"et":[28],"al.":[29],"[2006].":[30,54],"The":[31,55],"SDP":[33],"exploits":[35],"structure":[38],"polynomials":[40],"in":[41],"POPs":[42,64,70],"when":[43],"applying":[44],"\u201ca":[45],"hierarchy":[46],"LMI":[48],"relaxations":[49],"increasing":[51],"dimensions\u201d":[52],"Lasserre":[53],"efficiency":[56],"to":[59],"approximate":[60],"solutions":[62],"thus":[66],"increased,":[67],"and":[68],"larger-scale":[69],"can":[71],"be":[72],"handled.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}