{"id":"https://openalex.org/W4407637168","doi":"https://doi.org/10.1051/ro/2025022","title":"A three-term cg projected-based method with control factor and its inertial version for constrained nonlinear equations","display_name":"A three-term cg projected-based method with control factor and its inertial version for constrained nonlinear equations","publication_year":2025,"publication_date":"2025-02-17","ids":{"openalex":"https://openalex.org/W4407637168","doi":"https://doi.org/10.1051/ro/2025022"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2025022","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025022","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230801.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230801.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100362041","display_name":"Jun Li","orcid":"https://orcid.org/0000-0003-1613-9448"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiayi Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100784389","display_name":"Hu Shao","orcid":"https://orcid.org/0000-0001-7816-0707"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hu Shao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022666762","display_name":"Shenheng Xu","orcid":"https://orcid.org/0000-0003-0105-8194"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shengbei Xu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Pengjie Liu","orcid":"https://orcid.org/0000-0002-9176-6321"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pengjie Liu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9176-6321","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5060308020","display_name":"Guoxin Li","orcid":"https://orcid.org/0000-0001-8384-0002"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guoxin Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.907,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.91456206,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"59","issue":"2","first_page":"939","last_page":"958"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T13771","display_name":"Advanced Research in Science and Engineering","score":0.9125999808311462,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/term","display_name":"Term (time)","score":0.7464756965637207},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7085843086242676},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6097502112388611},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5019862651824951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39866384863853455},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34555524587631226},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32869231700897217},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32728835940361023},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17769446969032288},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.09403955936431885},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0679084062576294}],"concepts":[{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.7464756965637207},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7085843086242676},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6097502112388611},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5019862651824951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39866384863853455},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34555524587631226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32869231700897217},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32728835940361023},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17769446969032288},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.09403955936431885},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0679084062576294},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2025022","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025022","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230801.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2025022","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025022","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230801.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3485335582","display_name":null,"funder_award_id":"72071202","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4630252192","display_name":null,"funder_award_id":"72471227","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407637168.pdf","grobid_xml":"https://content.openalex.org/works/W4407637168.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W955312132","https://openalex.org/W1977194936","https://openalex.org/W1986350092","https://openalex.org/W1988720110","https://openalex.org/W2014528048","https://openalex.org/W2014851363","https://openalex.org/W2019015034","https://openalex.org/W2024674718","https://openalex.org/W2056603712","https://openalex.org/W2062294426","https://openalex.org/W2067425611","https://openalex.org/W2067693696","https://openalex.org/W2092304636","https://openalex.org/W2109449402","https://openalex.org/W2133665775","https://openalex.org/W2137900593","https://openalex.org/W2149454052","https://openalex.org/W2186467072","https://openalex.org/W2312594785","https://openalex.org/W2591911370","https://openalex.org/W2893446760","https://openalex.org/W2901247061","https://openalex.org/W2921873362","https://openalex.org/W2970983190","https://openalex.org/W3110947471","https://openalex.org/W3119071310","https://openalex.org/W3167010197","https://openalex.org/W3202038046","https://openalex.org/W3205418552","https://openalex.org/W3206146670","https://openalex.org/W3216530320","https://openalex.org/W4210873928","https://openalex.org/W4285387264","https://openalex.org/W4286492082","https://openalex.org/W4296573448","https://openalex.org/W4301791716","https://openalex.org/W4302286629","https://openalex.org/W4306888989","https://openalex.org/W4311197602","https://openalex.org/W4319027779","https://openalex.org/W4320004460","https://openalex.org/W4376137532","https://openalex.org/W4381681691","https://openalex.org/W4383313547","https://openalex.org/W4383905807","https://openalex.org/W4385420801","https://openalex.org/W4386967233","https://openalex.org/W4400036714","https://openalex.org/W4404147546"],"related_works":["https://openalex.org/W2980611886","https://openalex.org/W42295635","https://openalex.org/W1973996291","https://openalex.org/W3125070615","https://openalex.org/W2330575325","https://openalex.org/W2163803519","https://openalex.org/W2497592525","https://openalex.org/W3096145648","https://openalex.org/W3197510923","https://openalex.org/W2370579019"],"abstract_inverted_index":{"Narushima":[0],"et":[1],"al":[2],".":[3,8],"[":[4],"SIAM":[5],"J.":[6],"Optim":[7],"21":[9],"(2011)":[10],"212\u2013230]":[11],"proposed":[12,92],"a":[13,29,72,125],"three-term":[14],"search":[15,35,56,63],"direction":[16,64],"that":[17,121],"guarantees":[18],"the":[19,34,41,48,53,61,91,97,101,106,112,122,132],"sufficient":[20,42],"descent":[21,43],"condition.":[22],"Building":[23],"upon":[24],"this":[25],"work,":[26],"we":[27,59,79,119],"introduce":[28],"control":[30],"factor":[31],"to":[32,65,86],"refine":[33],"direction,":[36],"which":[37],"not":[38],"only":[39],"ensures":[40],"property":[44],"but":[45],"also":[46],"possesses":[47],"trust-region":[49],"feature,":[50],"independent":[51],"of":[52,90,100,108,134],"specific":[54],"line":[55],"strategy.":[57],"Furthermore,":[58],"extend":[60],"modified":[62],"solve":[66],"constrained":[67,143],"nonlinear":[68,144],"equations":[69,145],"by":[70,151],"employing":[71],"hyperplane":[73],"projection":[74],"technique.":[75],"To":[76],"enhance":[77],"efficiency,":[78],"integrate":[80],"an":[81,87],"inertial":[82,88,102],"acceleration":[83],"mechanism,":[84],"leading":[85],"variant":[89],"method.":[93],"We":[94],"rigorously":[95],"establish":[96],"global":[98],"convergence":[99,127],"method,":[103],"even":[104],"in":[105,111,141],"absence":[107],"Lipschitz":[109],"continuity":[110],"underlying":[113],"mapping.":[114],"Additionally,":[115],"under":[116],"appropriate":[117],"conditions,":[118],"prove":[120],"method":[123],"achieves":[124],"linear":[126],"rate.":[128],"Numerical":[129],"experiments":[130],"validate":[131],"effectiveness":[133],"our":[135],"methods,":[136],"demonstrating":[137],"their":[138],"superior":[139],"performance":[140],"solving":[142],"and":[146],"restoring":[147],"blurred":[148],"images":[149],"corrupted":[150],"Gaussian":[152],"noise.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
