{"id":"https://openalex.org/W3214487264","doi":"https://doi.org/10.1137/20m1382027","title":"Tikhonov Regularization of a Perturbed Heavy Ball System with Vanishing Damping","display_name":"Tikhonov Regularization of a Perturbed Heavy Ball System with Vanishing Damping","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3214487264","doi":"https://doi.org/10.1137/20m1382027","mag":"3214487264"},"language":"en","primary_location":{"id":"doi:10.1137/20m1382027","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1382027","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/A5020055390","display_name":"Cristian Daniel Alecsa","orcid":"https://orcid.org/0000-0003-2324-7711"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Cristian Daniel Alecsa","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2324-7711","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014647378","display_name":"Szil\u00e1rd Csaba L\u00e1szl\u00f3","orcid":"https://orcid.org/0000-0001-5140-1144"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Szil\u00e1rd Csaba L\u00e1szl\u00f3","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-5140-1144","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020055390"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0934,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.94903706,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"31","issue":"4","first_page":"2921","last_page":"2954"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9994000196456909,"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":0.9994000196456909,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9984999895095825,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9890999794006348,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.9710912108421326},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.6738660335540771},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6348639130592346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5840526819229126},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4846804440021515},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47078078985214233},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40358269214630127},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31084108352661133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25832855701446533},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.17884927988052368},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17274904251098633},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07710349559783936}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.9710912108421326},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.6738660335540771},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6348639130592346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5840526819229126},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4846804440021515},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47078078985214233},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40358269214630127},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31084108352661133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25832855701446533},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.17884927988052368},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17274904251098633},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07710349559783936},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1382027","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1382027","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W322738573","https://openalex.org/W1837565340","https://openalex.org/W1967598881","https://openalex.org/W1989166601","https://openalex.org/W2013921128","https://openalex.org/W2028739379","https://openalex.org/W2068944322","https://openalex.org/W2104311270","https://openalex.org/W2302721240","https://openalex.org/W2528062157","https://openalex.org/W2731666329","https://openalex.org/W2759432802","https://openalex.org/W2809814621","https://openalex.org/W2867669197","https://openalex.org/W2896740728","https://openalex.org/W2960343507","https://openalex.org/W2963022670","https://openalex.org/W2963237896","https://openalex.org/W2963505547","https://openalex.org/W2964153427","https://openalex.org/W2964216752","https://openalex.org/W2988732123","https://openalex.org/W2996459728","https://openalex.org/W3003847963","https://openalex.org/W3035137821","https://openalex.org/W3035316500","https://openalex.org/W3040672097","https://openalex.org/W3085330744","https://openalex.org/W3087406501","https://openalex.org/W3100236006","https://openalex.org/W3100706439","https://openalex.org/W3102391325"],"related_works":["https://openalex.org/W2337734184","https://openalex.org/W2388364587","https://openalex.org/W2322955667","https://openalex.org/W2373176546","https://openalex.org/W2127000180","https://openalex.org/W2050033254","https://openalex.org/W2561531189","https://openalex.org/W2152224705","https://openalex.org/W2385735574","https://openalex.org/W2057439054"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"23":[17],"November":[18,25],"2020Accepted:":[19],"03":[20],"August":[21],"2021Published":[22],"online:":[23],"11":[24],"2021Keywordsconvex":[26],"optimization,":[27],"heavy":[28],"ball":[29],"method,":[30],"continuous":[31],"second":[32],"order":[33],"dynamical":[34],"system,":[35],"Tikhonov":[36],"regularization,":[37],"convergence":[38],"rate,":[39],"strong":[40],"convergenceAMS":[41],"Subject":[42],"Headings34G20,":[43],"47J25,":[44],"90C25,":[45],"90C30,":[46],"65K10Publication":[47],"DataISSN":[48],"(print):":[49],"1052-6234ISSN":[50],"(online):":[51],"1095-7189Publisher:":[52],"Society":[53],"for":[54],"Industrial":[55],"and":[56],"Applied":[57],"MathematicsCODEN:":[58],"sjope8":[59]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-26T13:28:51.108037","created_date":"2025-10-10T00:00:00"}