{"id":"https://openalex.org/W1630821875","doi":"https://doi.org/10.1007/s10589-015-9806-9","title":"On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation","display_name":"On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation","publication_year":2015,"publication_date":"2015-11-24","ids":{"openalex":"https://openalex.org/W1630821875","doi":"https://doi.org/10.1007/s10589-015-9806-9","mag":"1630821875"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-015-9806-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-015-9806-9","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":"https://hal.science/hal-03126969","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":"S. Bellavia","raw_affiliation_strings":["Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, viale G.B. Morgagni 40, 50134, Firenze, Italy","Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Firenze, Italy 50134#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, viale G.B. Morgagni 40, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Firenze, Italy 50134#TAB#","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087455379","display_name":"Benedetta Morini","orcid":"https://orcid.org/0000-0002-9213-3622"},"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":"B. Morini","raw_affiliation_strings":["Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, viale G.B. Morgagni 40, 50134, Firenze, Italy","Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Firenze, Italy 50134#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, viale G.B. Morgagni 40, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Firenze, Italy 50134#TAB#","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024258728","display_name":"Elisa Riccietti","orcid":"https://orcid.org/0000-0003-0864-6116"},"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":"E. Riccietti","raw_affiliation_strings":["Dipartimento di Matematica e Informatica \u201cUlisse Dini\u201d, Universit\u00e0 di Firenze, viale G.B. Morgagni 67a, 50134, Firenze, Italy","Dipartimento di Matematica e Informatica Ulisse Dini, Universit\u00e0 di Firenze, Firenze, Italy 50134#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica \u201cUlisse Dini\u201d, Universit\u00e0 di Firenze, viale G.B. Morgagni 67a, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica Ulisse Dini, Universit\u00e0 di Firenze, Firenze, Italy 50134#TAB#","institution_ids":["https://openalex.org/I45084792"]}]}],"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":3.1343,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.89424313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"64","issue":"1","first_page":"1","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9977999925613403,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9546999931335449,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9463000297546387,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/regularization","display_name":"Regularization (linguistics)","score":0.7815680503845215},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.7663421630859375},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7337265610694885},{"id":"https://openalex.org/keywords/well-posed-problem","display_name":"Well-posed problem","score":0.6451692581176758},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5936071872711182},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5006494522094727},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4565765857696533},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4406253397464752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4263985753059387},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.40072232484817505},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24340489506721497},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10006323456764221},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.06272867321968079}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7815680503845215},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.7663421630859375},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7337265610694885},{"id":"https://openalex.org/C106214006","wikidata":"https://www.wikidata.org/wiki/Q1455898","display_name":"Well-posed problem","level":2,"score":0.6451692581176758},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5936071872711182},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5006494522094727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4565765857696533},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4406253397464752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4263985753059387},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.40072232484817505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24340489506721497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10006323456764221},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.06272867321968079},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10589-015-9806-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-015-9806-9","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:HAL:hal-03126969v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03126969","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Computational Optimization and Applications, 2015, 64 (1), pp.1-30. &#x27E8;10.1007/s10589-015-9806-9&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:coopap:v:64:y:2016:i:1:d:10.1007_s10589-015-9806-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-015-9806-9","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:2158/1009096","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/1009096","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"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03126969v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03126969","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Computational Optimization and Applications, 2015, 64 (1), pp.1-30. &#x27E8;10.1007/s10589-015-9806-9&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W114314968","https://openalex.org/W145616578","https://openalex.org/W147998453","https://openalex.org/W1487237405","https://openalex.org/W1564864701","https://openalex.org/W1974785493","https://openalex.org/W1978347765","https://openalex.org/W1978489724","https://openalex.org/W1985999777","https://openalex.org/W1999233724","https://openalex.org/W2010584785","https://openalex.org/W2017714771","https://openalex.org/W2030139351","https://openalex.org/W2036440064","https://openalex.org/W2041972015","https://openalex.org/W2044817680","https://openalex.org/W2051003357","https://openalex.org/W2079489591","https://openalex.org/W2080003833","https://openalex.org/W2087070363","https://openalex.org/W2094634441","https://openalex.org/W2099760222","https://openalex.org/W2102079036","https://openalex.org/W2114424556","https://openalex.org/W2121625938","https://openalex.org/W2148589597","https://openalex.org/W2158249142","https://openalex.org/W2236623899","https://openalex.org/W2256578114","https://openalex.org/W2607928667","https://openalex.org/W2896002309","https://openalex.org/W2986444355","https://openalex.org/W3029645440","https://openalex.org/W4205236922","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W2018624941","https://openalex.org/W1965313012","https://openalex.org/W2028308512","https://openalex.org/W2371498728","https://openalex.org/W2154146583","https://openalex.org/W1999995143","https://openalex.org/W4229605744","https://openalex.org/W1584908541","https://openalex.org/W2069101571","https://openalex.org/W778450153"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
