{"id":"https://openalex.org/W3197100732","doi":"https://doi.org/10.1137/20m1341428","title":"PNKH-B: A Projected Newton--Krylov Method for Large-Scale Bound-Constrained Optimization","display_name":"PNKH-B: A Projected Newton--Krylov Method for Large-Scale Bound-Constrained Optimization","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3197100732","doi":"https://doi.org/10.1137/20m1341428","mag":"3197100732"},"language":"en","primary_location":{"id":"doi:10.1137/20m1341428","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1341428","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5019525818","display_name":"Kelvin K.W. Kan","orcid":"https://orcid.org/0000-0001-9429-7826"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kelvin Kan","raw_affiliation_strings":["Department of Mathematics, Emory University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Emory University, USA","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078351138","display_name":"Samy Wu Fung","orcid":"https://orcid.org/0000-0002-2926-4582"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samy Wu Fung","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076591073","display_name":"Lars Ruthotto","orcid":"https://orcid.org/0000-0003-0803-3299"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lars Ruthotto","raw_affiliation_strings":["Departments of Mathematics and Computer Science, Emory University, USA"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics and Computer Science, Emory University, USA","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019525818"],"corresponding_institution_ids":["https://openalex.org/I150468666"],"apc_list":null,"apc_paid":null,"fwci":0.6562,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.68613629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"43","issue":"5","first_page":"S704","last_page":"S726"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.6166001558303833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5383606553077698},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5046683549880981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49980878829956055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44522613286972046},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.4355448782444},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3623747229576111},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.22156545519828796},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13355931639671326},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.13131371140480042}],"concepts":[{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6166001558303833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5383606553077698},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5046683549880981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49980878829956055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44522613286972046},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.4355448782444},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3623747229576111},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.22156545519828796},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13355931639671326},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.13131371140480042},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1341428","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1341428","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1598904905","display_name":null,"funder_award_id":"FA9550-18-1-0502","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2309864348","display_name":null,"funder_award_id":"DMS-1751636","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G2550295518","display_name":"CAREER: A Flexible Optimal Control Framework for Efficient Training of Deep Neural Networks","funder_award_id":"1751636","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2637195115","display_name":null,"funder_award_id":"4-18-1-","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G2811237814","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G2930762006","display_name":null,"funder_award_id":"MURI FA9550-18-1-0502","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3297071621","display_name":null,"funder_award_id":"FA9550-18-1-016","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"},{"id":"https://openalex.org/G3673415204","display_name":null,"funder_award_id":"FA9550-18-1-01","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G508373016","display_name":null,"funder_award_id":"FA9550-18-1-0167","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5157887374","display_name":null,"funder_award_id":"N00014-18-1-2527","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5509786045","display_name":null,"funder_award_id":"N00014-18-1-252","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5561170740","display_name":null,"funder_award_id":"FA9550-18-1-05","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6098521345","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6487893095","display_name":null,"funder_award_id":"FA9550-18-1-016","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7187104357","display_name":null,"funder_award_id":"FA9550-18-1-0502","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7385372765","display_name":null,"funder_award_id":"DMS 1751636","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8869991307","display_name":null,"funder_award_id":"FA9550-18-1-0502","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8892662178","display_name":null,"funder_award_id":"N00014-18-1-25","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1969549583","https://openalex.org/W1990225548","https://openalex.org/W2026289804","https://openalex.org/W2057667075","https://openalex.org/W2063429930","https://openalex.org/W2065887373","https://openalex.org/W2068943497","https://openalex.org/W2069053817","https://openalex.org/W2070265719","https://openalex.org/W2071467620","https://openalex.org/W2074836377","https://openalex.org/W2090923100","https://openalex.org/W2111072639","https://openalex.org/W2117686912","https://openalex.org/W2142113627","https://openalex.org/W2151898625","https://openalex.org/W2152119413","https://openalex.org/W2162988958","https://openalex.org/W2604272474","https://openalex.org/W2612252966","https://openalex.org/W2736602210","https://openalex.org/W2797156168","https://openalex.org/W2911371636","https://openalex.org/W2950585360","https://openalex.org/W2963173886","https://openalex.org/W2964244196","https://openalex.org/W2974916071","https://openalex.org/W2981570083","https://openalex.org/W2982662103","https://openalex.org/W2982669453","https://openalex.org/W3008012025","https://openalex.org/W3016792721","https://openalex.org/W3098011980","https://openalex.org/W3100860507","https://openalex.org/W3105171458"],"related_works":["https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W1985487460","https://openalex.org/W4388964614","https://openalex.org/W1996524002","https://openalex.org/W2186033144","https://openalex.org/W2350788688","https://openalex.org/W2123238992","https://openalex.org/W2972343833","https://openalex.org/W2382791194"],"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],"28":[17],"May":[18],"2020Accepted:":[19],"03":[20],"June":[21],"2021Published":[22],"online:":[23],"07":[24],"September":[25],"2021Keywordsbound-constrained":[26],"optimization,":[27,32],"projected":[28],"Newton--Krylov":[29],"methods,":[30],"large-scale":[31],"machine":[33],"learning,":[34],"parameter":[35],"estimationAMS":[36],"Subject":[37],"Headings65K10Publication":[38],"DataISSN":[39],"(print):":[40],"1064-8275ISSN":[41],"(online):":[42],"1095-7197Publisher:":[43],"Society":[44],"for":[45],"Industrial":[46],"and":[47],"Applied":[48],"MathematicsCODEN:":[49],"sjoce3":[50]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
