{"id":"https://openalex.org/W1999276385","doi":"https://doi.org/10.1007/s10107-011-0464-0","title":"Deterministic approximation algorithms for sphere constrained homogeneous polynomial optimization problems","display_name":"Deterministic approximation algorithms for sphere constrained homogeneous polynomial optimization problems","publication_year":2011,"publication_date":"2011-06-04","ids":{"openalex":"https://openalex.org/W1999276385","doi":"https://doi.org/10.1007/s10107-011-0464-0","mag":"1999276385"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-011-0464-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-011-0464-0","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5105881332","display_name":"Anthony Man\u2013Cho So","orcid":"https://orcid.org/0000-0003-2588-7851"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Anthony Man-Cho So","raw_affiliation_strings":["Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong","The Chinese University of Hong Kong Department of Systems Engineering & Engineering Management Shatin N.T. Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"The Chinese University of Hong Kong Department of Systems Engineering & Engineering Management Shatin N.T. Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5105881332"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.2711,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.92307692,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"129","issue":"2","first_page":"357","last_page":"382"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.998199999332428,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.991599977016449,"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":0.7060879468917847},{"id":"https://openalex.org/keywords/homogeneous-polynomial","display_name":"Homogeneous polynomial","score":0.5802977085113525},{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.5738330483436584},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.5520166754722595},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5459871888160706},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.47455722093582153},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4660656750202179},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.42136043310165405},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4101073741912842},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3840978145599365},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3364487886428833},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.319126158952713},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17372390627861023},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12027627229690552},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10239347815513611}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7060879468917847},{"id":"https://openalex.org/C17103678","wikidata":"https://www.wikidata.org/wiki/Q1474074","display_name":"Homogeneous polynomial","level":4,"score":0.5802977085113525},{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.5738330483436584},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.5520166754722595},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5459871888160706},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.47455722093582153},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4660656750202179},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.42136043310165405},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4101073741912842},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3840978145599365},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3364487886428833},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.319126158952713},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17372390627861023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12027627229690552},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10239347815513611}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-011-0464-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-011-0464-0","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W104065991","https://openalex.org/W1549638383","https://openalex.org/W1568816820","https://openalex.org/W1591868040","https://openalex.org/W1653830272","https://openalex.org/W1788938005","https://openalex.org/W1939145901","https://openalex.org/W1967344706","https://openalex.org/W1976492279","https://openalex.org/W1981745143","https://openalex.org/W1981973750","https://openalex.org/W1982829269","https://openalex.org/W1991486419","https://openalex.org/W1999351098","https://openalex.org/W2000825868","https://openalex.org/W2017436952","https://openalex.org/W2024165284","https://openalex.org/W2025190766","https://openalex.org/W2048050794","https://openalex.org/W2063185045","https://openalex.org/W2072886135","https://openalex.org/W2076426934","https://openalex.org/W2079705627","https://openalex.org/W2085795790","https://openalex.org/W2090208105","https://openalex.org/W2100440346","https://openalex.org/W2114467398","https://openalex.org/W2114650657","https://openalex.org/W2128762995","https://openalex.org/W2133404041","https://openalex.org/W2145030496","https://openalex.org/W2150587942","https://openalex.org/W2165281529","https://openalex.org/W2798909945","https://openalex.org/W3145564876","https://openalex.org/W4293860921"],"related_works":["https://openalex.org/W2023541349","https://openalex.org/W295046251","https://openalex.org/W4308568595","https://openalex.org/W2964168342","https://openalex.org/W245150611","https://openalex.org/W3049599074","https://openalex.org/W2027514662","https://openalex.org/W1508761541","https://openalex.org/W3141888695","https://openalex.org/W2288422712"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
