{"id":"https://openalex.org/W7166569247","doi":"https://doi.org/10.1007/s12597-026-01231-w","title":"Levenberg\u2013Marquardt-like algorithm with persistent iterations for solving low-order value optimization problems: a case study","display_name":"Levenberg\u2013Marquardt-like algorithm with persistent iterations for solving low-order value optimization problems: a case study","publication_year":2026,"publication_date":"2026-06-29","ids":{"openalex":"https://openalex.org/W7166569247","doi":"https://doi.org/10.1007/s12597-026-01231-w"},"language":"en","primary_location":{"id":"doi:10.1007/s12597-026-01231-w","doi":"https://doi.org/10.1007/s12597-026-01231-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12597-026-01231-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12597-026-01231-w.pdf","source":{"id":"https://openalex.org/S100702818","display_name":"OPSEARCH","issn_l":"0030-3887","issn":["0030-3887","0975-0320"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-c","cwts-core","norway-1","poland-70","russia-white-list-2"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OPSEARCH","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s12597-026-01231-w.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019664050","display_name":"Marcelo R. A. Ferreira","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123443094","display_name":"Universidade Estadual de Maring\u00e1","ror":"https://ror.org/04bqqa360","country_code":"BR","type":"education","lineage":["https://openalex.org/I123443094"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcelo R. A. Ferreira","raw_affiliation_strings":["Department of Mathematics, State University of Maring\u00e1, Colombo Avenue, Maring\u00e1, PR, 87020-900, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, State University of Maring\u00e1, Colombo Avenue, Maring\u00e1, PR, 87020-900, Brazil","institution_ids":["https://openalex.org/I123443094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031375065","display_name":"Emerson Vitor Castelani","orcid":"https://orcid.org/0000-0001-9718-6486","observed_orcids":["https://orcid.org/0000-0001-9718-6486"]},"institutions":[{"id":"https://openalex.org/I123443094","display_name":"Universidade Estadual de Maring\u00e1","ror":"https://ror.org/04bqqa360","country_code":"BR","type":"education","lineage":["https://openalex.org/I123443094"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Emerson V. Castelani","raw_affiliation_strings":["Department of Mathematics, State University of Maring\u00e1, Colombo Avenue, Maring\u00e1, PR, 87020-900, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-9718-6486","affiliations":[{"raw_affiliation_string":"Department of Mathematics, State University of Maring\u00e1, Colombo Avenue, Maring\u00e1, PR, 87020-900, Brazil","institution_ids":["https://openalex.org/I123443094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031576771","display_name":"Wesley Vagner In\u00eas Shirabayashi","orcid":"https://orcid.org/0000-0002-7790-6703","observed_orcids":["https://orcid.org/0000-0002-7790-6703"]},"institutions":[{"id":"https://openalex.org/I123443094","display_name":"Universidade Estadual de Maring\u00e1","ror":"https://ror.org/04bqqa360","country_code":"BR","type":"education","lineage":["https://openalex.org/I123443094"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Wesley V. I. Shirabayashi","raw_affiliation_strings":["Department of Mathematics, State University of Maring\u00e1, Colombo Avenue, Maring\u00e1, PR, 87020-900, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, State University of Maring\u00e1, Colombo Avenue, Maring\u00e1, PR, 87020-900, Brazil","institution_ids":["https://openalex.org/I123443094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031375065"],"corresponding_institution_ids":["https://openalex.org/I123443094"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":{"value":3290,"currency":"USD","value_usd":3290},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.53755625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.7461000084877014,"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":0.7461000084877014,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.18039999902248383,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied 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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.02319999970495701,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/levenberg-marquardt-algorithm","display_name":"Levenberg-Marquardt algorithm","score":0.9580000042915344},{"id":"https://openalex.org/keywords/geometric-shape-detection","display_name":"geometric shape detection","score":0.8190000057220459},{"id":"https://openalex.org/keywords/nonlinear-least-squares","display_name":"nonlinear least squares","score":0.7310000061988831},{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.3199999928474426}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.628600001335144},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5978999733924866},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5843999981880188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5778999924659729},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5533999800682068},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5476999878883362},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5116000175476074},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4749000072479248},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43160000443458557},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.43160000443458557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40059998631477356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2648000121116638}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12597-026-01231-w","doi":"https://doi.org/10.1007/s12597-026-01231-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12597-026-01231-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12597-026-01231-w.pdf","source":{"id":"https://openalex.org/S100702818","display_name":"OPSEARCH","issn_l":"0030-3887","issn":["0030-3887","0975-0320"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-c","cwts-core","norway-1","poland-70","russia-white-list-2"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OPSEARCH","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s12597-026-01231-w","doi":"https://doi.org/10.1007/s12597-026-01231-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12597-026-01231-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12597-026-01231-w.pdf","source":{"id":"https://openalex.org/S100702818","display_name":"OPSEARCH","issn_l":"0030-3887","issn":["0030-3887","0975-0320"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-c","cwts-core","norway-1","poland-70","russia-white-list-2"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OPSEARCH","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320329168","display_name":"Universidade Estadual de Maring\u00e1","ror":"https://ror.org/04bqqa360"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7166569247.pdf","grobid_xml":"https://content.openalex.org/works/W7166569247.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W22745672","https://openalex.org/W1966523582","https://openalex.org/W1975936824","https://openalex.org/W1985736102","https://openalex.org/W1995376165","https://openalex.org/W2008665443","https://openalex.org/W2053643774","https://openalex.org/W2080611873","https://openalex.org/W2085261163","https://openalex.org/W2087070363","https://openalex.org/W2107371918","https://openalex.org/W2118941696","https://openalex.org/W2124125593","https://openalex.org/W2149454052","https://openalex.org/W2152701363","https://openalex.org/W2167694888","https://openalex.org/W2171288536","https://openalex.org/W2334297625","https://openalex.org/W2955092843","https://openalex.org/W3118754645","https://openalex.org/W4401522519"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,52,93],"study,":[3],"we":[4,34,66,95],"introduce":[5],"a":[6,43,55,90],"method":[7,99],"for":[8,81],"addressing":[9],"fitting":[10,112],"function":[11,45,125],"determination":[12],"problems":[13,84],"through":[14],"the":[15,27,38,47,60,63,87,105,109,121,128],"framework":[16],"of":[17,46,62,92,111,123],"Low-Order":[18],"Value":[19],"Optimization":[20],"(LOVO).":[21],"Our":[22],"approach":[23],"is":[24],"founded":[25],"on":[26,70],"Levenberg\u2013Marquardt":[28],"algorithm,":[29],"where,":[30],"at":[31],"each":[32],"iteration,":[33],"aim":[35],"to":[36,100],"solve":[37],"minimization":[39],"problem":[40],"associated":[41,129],"with":[42],"component":[44],"LOVO":[48,83,130],"formulation.":[49],"We":[50],"designate":[51],"procedure":[53],"as":[54],"persistent":[56],"iteration.":[57],"To":[58],"evaluate":[59],"effectiveness":[61],"proposed":[64],"method,":[65],"present":[67],"numerical":[68],"results":[69],"geometric":[71],"shape":[72],"detection":[73],"tasks,":[74],"comparing":[75],"its":[76],"performance":[77,116],"against":[78],"established":[79,103],"techniques":[80],"solving":[82],"available":[85],"in":[86,104,108,118,127],"literature.":[88],"As":[89],"result":[91],"work,":[94],"have":[96],"an":[97],"alternative":[98],"those":[101],"already":[102],"literature,":[106],"which,":[107],"context":[110],"problems,":[113],"demonstrates":[114],"robust":[115],"and,":[117],"general,":[119],"reduces":[120],"number":[122],"objective":[124],"orderings":[126],"problem.":[131]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2026-06-30T00:00:00"}
