{"id":"https://openalex.org/W3167349343","doi":"https://doi.org/10.1007/s11075-020-01065-7","title":"A new branch-and-cut algorithm for non-convex quadratic programming via alternative direction method and semidefinite relaxation","display_name":"A new branch-and-cut algorithm for non-convex quadratic programming via alternative direction method and semidefinite relaxation","publication_year":2021,"publication_date":"2021-05-27","ids":{"openalex":"https://openalex.org/W3167349343","doi":"https://doi.org/10.1007/s11075-020-01065-7","mag":"3167349343"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-01065-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01065-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5025452128","display_name":"Hezhi Luo","orcid":"https://orcid.org/0000-0001-9385-5697"},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hezhi Luo","raw_affiliation_strings":["Department of Mathematics, College of Science, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, 310018, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, 310018, China","institution_ids":["https://openalex.org/I1328775524"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069471778","display_name":"Sikai Chen","orcid":"https://orcid.org/0000-0002-5931-5619"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sikai Chen","raw_affiliation_strings":["Department of Applied Mathematics, College of Science, Zhejiang University of Technology, Hangzhou, Zhejiang, 310032, China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, College of Science, Zhejiang University of Technology, Hangzhou, Zhejiang, 310032, China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100940493","display_name":"Huixian Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huixian Wu","raw_affiliation_strings":["Department of Mathematics, College of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310018, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310018, China","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025452128"],"corresponding_institution_ids":["https://openalex.org/I1328775524"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8613,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83059618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"88","issue":"2","first_page":"993","last_page":"1024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9901000261306763,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.984499990940094,"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/mathematics","display_name":"Mathematics","score":0.7790457010269165},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.7449557781219482},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6952446699142456},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6148909330368042},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.5665605068206787},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.52329021692276},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49504604935646057},{"id":"https://openalex.org/keywords/hessian-equation","display_name":"Hessian equation","score":0.47337812185287476},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4660889506340027},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4642043709754944},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45947685837745667},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.45181894302368164},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43835124373435974},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.41490185260772705},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.25377917289733887},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08123749494552612}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7790457010269165},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.7449557781219482},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6952446699142456},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6148909330368042},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.5665605068206787},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.52329021692276},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49504604935646057},{"id":"https://openalex.org/C73729460","wikidata":"https://www.wikidata.org/wiki/Q17023339","display_name":"Hessian equation","level":4,"score":0.47337812185287476},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4660889506340027},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4642043709754944},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45947685837745667},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.45181894302368164},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43835124373435974},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41490185260772705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25377917289733887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08123749494552612},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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:10.1007/s11075-020-01065-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01065-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W32713153","https://openalex.org/W187184694","https://openalex.org/W1500929526","https://openalex.org/W1530146942","https://openalex.org/W1571070457","https://openalex.org/W1582056940","https://openalex.org/W1589133845","https://openalex.org/W1606052501","https://openalex.org/W1812813109","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1969807530","https://openalex.org/W1975852795","https://openalex.org/W1984818365","https://openalex.org/W1985123706","https://openalex.org/W1994114596","https://openalex.org/W1998748450","https://openalex.org/W1999913571","https://openalex.org/W2000642309","https://openalex.org/W2000923338","https://openalex.org/W2004392729","https://openalex.org/W2007120436","https://openalex.org/W2013585593","https://openalex.org/W2014793162","https://openalex.org/W2017309246","https://openalex.org/W2025308368","https://openalex.org/W2029423538","https://openalex.org/W2031494345","https://openalex.org/W2036910603","https://openalex.org/W2038611554","https://openalex.org/W2039526985","https://openalex.org/W2045148236","https://openalex.org/W2063676335","https://openalex.org/W2067453315","https://openalex.org/W2078340238","https://openalex.org/W2084771065","https://openalex.org/W2105880662","https://openalex.org/W2149365825","https://openalex.org/W2157030448","https://openalex.org/W2346374866","https://openalex.org/W2568448495","https://openalex.org/W2888026831","https://openalex.org/W2897697015","https://openalex.org/W2906903862","https://openalex.org/W4211141987","https://openalex.org/W4231143303","https://openalex.org/W4292175028"],"related_works":["https://openalex.org/W1991833659","https://openalex.org/W2316166864","https://openalex.org/W2964019050","https://openalex.org/W2989823969","https://openalex.org/W4286909496","https://openalex.org/W2890919253","https://openalex.org/W2414981476","https://openalex.org/W4297791817","https://openalex.org/W2755749970","https://openalex.org/W2120338570"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}