{"id":"https://openalex.org/W2025472175","doi":"https://doi.org/10.1007/s10589-012-9469-8","title":"Constrained Dogleg methods for nonlinear systems with simple bounds","display_name":"Constrained Dogleg methods for nonlinear systems with simple bounds","publication_year":2012,"publication_date":"2012-03-06","ids":{"openalex":"https://openalex.org/W2025472175","doi":"https://doi.org/10.1007/s10589-012-9469-8","mag":"2025472175"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-012-9469-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-012-9469-8","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://porto.polito.it/2351115/2/BMP_COAP_Porto.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009343830","display_name":"Stefania Bellavia","orcid":"https://orcid.org/0000-0002-3691-7836"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefania Bellavia","raw_affiliation_strings":["Dipartimento di Energetica \u2018S. Stecco\u2019, Universit\u00e0 di Firenze, Viale Morgagni 40/44, 50134, Firenze, Italy","Dipartimento di Energetica `S. Stecco', Universit\u00e0 di Firenze, Firenze, Italy 50134"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Energetica \u2018S. Stecco\u2019, Universit\u00e0 di Firenze, Viale Morgagni 40/44, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Energetica `S. Stecco', Universit\u00e0 di Firenze, Firenze, Italy 50134","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086818743","display_name":"M. Macconi","orcid":null},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maria Macconi","raw_affiliation_strings":["Dipartimento di Energetica \u2018S. Stecco\u2019, Universit\u00e0 di Firenze, Viale Morgagni 40/44, 50134, Firenze, Italy","Dipartimento di Energetica `S. Stecco', Universit\u00e0 di Firenze, Firenze, Italy 50134"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Energetica \u2018S. Stecco\u2019, Universit\u00e0 di Firenze, Viale Morgagni 40/44, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Energetica `S. Stecco', Universit\u00e0 di Firenze, Firenze, Italy 50134","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023120700","display_name":"Sandra Pieraccini","orcid":"https://orcid.org/0000-0002-0077-6285"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sandra Pieraccini","raw_affiliation_strings":["Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129, Torino, Italy","Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino, Italy 10129"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino, Italy 10129","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009343830"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2539,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.8657646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"53","issue":"3","first_page":"771","last_page":"794"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987999796867371,"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":0.9987999796867371,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/solver","display_name":"Solver","score":0.7589353322982788},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6575173735618591},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.58272385597229},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5816479921340942},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5651156902313232},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5533150434494019},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5313447117805481},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5271218419075012},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.4784441292285919},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.44977542757987976},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44842132925987244},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.43135446310043335},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.4179728925228119},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.415262371301651},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2791634500026703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14575526118278503},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11535778641700745}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7589353322982788},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6575173735618591},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.58272385597229},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5816479921340942},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5651156902313232},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5533150434494019},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5313447117805481},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5271218419075012},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.4784441292285919},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.44977542757987976},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44842132925987244},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.43135446310043335},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.4179728925228119},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.415262371301651},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2791634500026703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14575526118278503},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11535778641700745},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10589-012-9469-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-012-9469-8","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:53:y:2012:i:3:p:771-794","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-012-9469-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:flore.unifi.it:2158/405780","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/405780","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:porto.polito.it:2351115","is_oa":true,"landing_page_url":"http://porto.polito.it/2351115/2/BMP_COAP_Porto.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0926-6003","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:porto.polito.it:2351115","is_oa":true,"landing_page_url":"http://porto.polito.it/2351115/2/BMP_COAP_Porto.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0926-6003","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1563737017","https://openalex.org/W1748199557","https://openalex.org/W1970019594","https://openalex.org/W1982391474","https://openalex.org/W1985229624","https://openalex.org/W1991182684","https://openalex.org/W2011946467","https://openalex.org/W2014537528","https://openalex.org/W2024685678","https://openalex.org/W2032933598","https://openalex.org/W2038551482","https://openalex.org/W2049193681","https://openalex.org/W2051917325","https://openalex.org/W2054001466","https://openalex.org/W2056603712","https://openalex.org/W2058626489","https://openalex.org/W2058899067","https://openalex.org/W2069196126","https://openalex.org/W2070686189","https://openalex.org/W2071467620","https://openalex.org/W2079471071","https://openalex.org/W2087233269","https://openalex.org/W2087322512","https://openalex.org/W2089333839","https://openalex.org/W2093502197","https://openalex.org/W2094960695","https://openalex.org/W2102079036","https://openalex.org/W2125762761","https://openalex.org/W2143476164","https://openalex.org/W2145851435","https://openalex.org/W2149454052","https://openalex.org/W4206097460","https://openalex.org/W4240022917"],"related_works":["https://openalex.org/W2080108722","https://openalex.org/W2752681920","https://openalex.org/W1997473290","https://openalex.org/W2353911672","https://openalex.org/W2393042414","https://openalex.org/W2029338229","https://openalex.org/W4380607089","https://openalex.org/W2363625234","https://openalex.org/W4232443521","https://openalex.org/W2036371636"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}