{"id":"https://openalex.org/W2057768751","doi":"https://doi.org/10.1016/s0747-7171(03)00073-7","title":"An effective decision method for semidefinite polynomials","display_name":"An effective decision method for semidefinite polynomials","publication_year":2003,"publication_date":"2003-06-30","ids":{"openalex":"https://openalex.org/W2057768751","doi":"https://doi.org/10.1016/s0747-7171(03)00073-7","mag":"2057768751"},"language":"en","primary_location":{"id":"doi:10.1016/s0747-7171(03)00073-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0747-7171(03)00073-7","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0747717103000737/pdf","source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0747717103000737/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109216167","display_name":"Guangxing Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zeng Guangxing","raw_affiliation_strings":["Department of Mathematics, Nanchang University, Nanchang, 330047, China","Department of Mathematics, Nanchang University, Nanchang 330047, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, Nanchang, 330047, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Department of Mathematics, Nanchang University, Nanchang 330047, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034713667","display_name":"Xiaoning Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I32246829","display_name":"Guangdong University of Education","ror":"https://ror.org/0574der91","country_code":"CN","type":"education","lineage":["https://openalex.org/I32246829"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeng Xiaoning","raw_affiliation_strings":["Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, China","Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, China","institution_ids":["https://openalex.org/I32246829"]},{"raw_affiliation_string":"Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, China#TAB#","institution_ids":["https://openalex.org/I32246829"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109216167"],"corresponding_institution_ids":["https://openalex.org/I141649914"],"apc_list":{"value":3160,"currency":"USD","value_usd":3160},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.15643836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"37","issue":"1","first_page":"83","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9988999962806702,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9988999962806702,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9976000189781189,"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":0.9926999807357788,"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/mathematics","display_name":"Mathematics","score":0.8823130130767822},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.7499154806137085},{"id":"https://openalex.org/keywords/maple","display_name":"Maple","score":0.6357846260070801},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6196099519729614},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.49124830961227417},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4765235185623169},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4673965871334076},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.44067421555519104},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4236505925655365},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36196738481521606},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34366410970687866},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3429548144340515},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2665860056877136},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10510921478271484},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09944534301757812}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8823130130767822},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.7499154806137085},{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.6357846260070801},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6196099519729614},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.49124830961227417},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4765235185623169},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4673965871334076},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.44067421555519104},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4236505925655365},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36196738481521606},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34366410970687866},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3429548144340515},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2665860056877136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10510921478271484},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09944534301757812},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0747-7171(03)00073-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0747-7171(03)00073-7","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0747717103000737/pdf","source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0747-7171(03)00073-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0747-7171(03)00073-7","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0747717103000737/pdf","source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8299999833106995}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2057768751.pdf","grobid_xml":"https://content.openalex.org/works/W2057768751.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1539838732","https://openalex.org/W1543638401","https://openalex.org/W1553126454","https://openalex.org/W1553142094","https://openalex.org/W1979160334","https://openalex.org/W2016838018","https://openalex.org/W2071040500","https://openalex.org/W2075801894","https://openalex.org/W2085576987","https://openalex.org/W2201727811","https://openalex.org/W2318268489","https://openalex.org/W2612686320","https://openalex.org/W4255800159","https://openalex.org/W4298290503","https://openalex.org/W4299599836","https://openalex.org/W6633127177","https://openalex.org/W6834764735","https://openalex.org/W6835480218"],"related_works":["https://openalex.org/W2049578243","https://openalex.org/W1828158523","https://openalex.org/W2122079181","https://openalex.org/W2000145235","https://openalex.org/W3122045730","https://openalex.org/W1985848810","https://openalex.org/W2889939530","https://openalex.org/W2399195672","https://openalex.org/W3121881699","https://openalex.org/W2748838164"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-08-25T07:29:55.448023","created_date":"2025-10-10T00:00:00"}