{"id":"https://openalex.org/W2479824348","doi":"https://doi.org/10.1137/140989078","title":"A Filter Active-Set Algorithm for Ball/Sphere Constrained Optimization Problem","display_name":"A Filter Active-Set Algorithm for Ball/Sphere Constrained Optimization Problem","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2479824348","doi":"https://doi.org/10.1137/140989078","mag":"2479824348"},"language":"en","primary_location":{"id":"doi:10.1137/140989078","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140989078","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5060270577","display_name":"Chungen Shen","orcid":"https://orcid.org/0000-0002-0391-5033"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chungen Shen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102019567","display_name":"Lei\u2010Hong Zhang","orcid":"https://orcid.org/0000-0001-5349-8621"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lei-Hong Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077741971","display_name":"Wei Hong Yang","orcid":"https://orcid.org/0000-0002-4585-9682"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wei Hong Yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.09777153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"3","first_page":"1429","last_page":"1464"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9980000257492065,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9965999722480774,"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/line-search","display_name":"Line search","score":0.7317244410514832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6721616983413696},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.6347911953926086},{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.6322122812271118},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5880526304244995},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5423105955123901},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.42182254791259766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28673022985458374},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.08567699790000916}],"concepts":[{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.7317244410514832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6721616983413696},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.6347911953926086},{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.6322122812271118},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5880526304244995},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5423105955123901},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.42182254791259766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28673022985458374},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.08567699790000916},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140989078","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140989078","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1876647145","display_name":null,"funder_award_id":"11271259","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2572636704","display_name":"\u5173\u4e8e\u5927\u89c4\u6a21\u9000\u5316\u95ee\u9898\u7684\u6ee4\u5b50\u7b97\u6cd5\u7814\u7a76","funder_award_id":"11101281","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3583381145","display_name":null,"funder_award_id":"11371102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5216252145","display_name":"\u7ebf\u6027\u5224\u522b\u5206\u6790\u7684\u7406\u8bba\u548c\u7b97\u6cd5\u7684\u7814\u7a76","funder_award_id":"11101257","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6863714809","display_name":null,"funder_award_id":"91330201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W8821478","https://openalex.org/W147998453","https://openalex.org/W1965391256","https://openalex.org/W1967337303","https://openalex.org/W1969974549","https://openalex.org/W1976385924","https://openalex.org/W1976658607","https://openalex.org/W1986956221","https://openalex.org/W1987598033","https://openalex.org/W1988641273","https://openalex.org/W1994635453","https://openalex.org/W1997138910","https://openalex.org/W1997965167","https://openalex.org/W2003744819","https://openalex.org/W2003827862","https://openalex.org/W2016309046","https://openalex.org/W2020946994","https://openalex.org/W2022144657","https://openalex.org/W2025644537","https://openalex.org/W2033531890","https://openalex.org/W2037605414","https://openalex.org/W2043651630","https://openalex.org/W2047677171","https://openalex.org/W2048799772","https://openalex.org/W2049300245","https://openalex.org/W2051240370","https://openalex.org/W2051434435","https://openalex.org/W2051730975","https://openalex.org/W2052044201","https://openalex.org/W2067275683","https://openalex.org/W2078921378","https://openalex.org/W2088241859","https://openalex.org/W2088765246","https://openalex.org/W2091442156","https://openalex.org/W2104481149","https://openalex.org/W2106173883","https://openalex.org/W2118320330","https://openalex.org/W2123871098","https://openalex.org/W2130835075","https://openalex.org/W2146232856","https://openalex.org/W2147666917","https://openalex.org/W2155856472","https://openalex.org/W2471988522","https://openalex.org/W3029645440"],"related_works":["https://openalex.org/W4289793162","https://openalex.org/W2360946740","https://openalex.org/W3093148662","https://openalex.org/W2587634790","https://openalex.org/W4385876532","https://openalex.org/W2349203978","https://openalex.org/W2761098424","https://openalex.org/W2166369963","https://openalex.org/W2615612939","https://openalex.org/W2064217481"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,14,32],"filter":[6,84],"active-set":[7],"algorithm":[8,110,136],"for":[9,79,144],"the":[10,25,29,48,52,55,62,80,88,94,98,117,125,134],"minimization":[11,63],"problem":[12],"over":[13],"product":[15],"of":[16,24,28,47,51,54,61],"multiple":[17],"ball/sphere":[18,30],"constraints.":[19],"By":[20],"making":[21],"effective":[22],"use":[23],"special":[26],"structure":[27,50,123],"constraints,":[31],"new":[33,42],"limited":[34],"memory":[35],"BFGS":[36],"(L-BFGS)":[37],"scheme":[38],"is":[39,111,137],"presented.":[40],"The":[41,83,109],"L-BFGS":[43],"implementation":[44],"takes":[45],"advantage":[46],"sparse":[49],"Jacobian":[53],"constraints":[56],"and":[57,97,124],"generates":[58],"curvature":[59],"information":[60],"problem.":[64,128],"At":[65],"each":[66,145],"iteration,":[67],"only":[68],"two":[69,114],"or":[70],"three":[71],"reduced":[72],"linear":[73],"systems":[74],"are":[75],"required":[76],"to":[77,113],"solve":[78],"search":[81,91],"direction.":[82],"technique":[85],"combined":[86],"with":[87,121,139],"backtracking":[89],"line":[90],"strategy":[92],"ensures":[93],"global":[95],"convergence,":[96],"local":[99],"superlinear":[100],"convergence":[101],"can":[102],"also":[103],"be":[104],"established":[105],"under":[106],"mild":[107],"conditions.":[108],"applied":[112],"specific":[115],"applications,":[116],"nearest":[118],"correlation":[119,127],"matrix":[120],"factor":[122],"maximal":[126],"Our":[129],"numerical":[130],"experiments":[131],"indicate":[132],"that":[133],"proposed":[135],"competitive":[138],"some":[140],"recently":[141],"custom-designed":[142],"methods":[143],"individual":[146],"application.":[147]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
