{"id":"https://openalex.org/W2054370637","doi":"https://doi.org/10.1137/100784667","title":"Minimal Effort Problems and Their Treatment by Semismooth Newton Methods","display_name":"Minimal Effort Problems and Their Treatment by Semismooth Newton Methods","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2054370637","doi":"https://doi.org/10.1137/100784667","mag":"2054370637"},"language":"en","primary_location":{"id":"doi:10.1137/100784667","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100784667","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and 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/A5004826461","display_name":"Kazufumi Ito","orcid":"https://orcid.org/0000-0003-2417-2600"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kazufumi Ito","raw_affiliation_strings":["kito@math.ncsu.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"kito@math.ncsu.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074607617","display_name":"Karl Kunisch","orcid":"https://orcid.org/0000-0003-1113-7355"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karl Kunisch","raw_affiliation_strings":["karl.kunisch@uni-graz.at#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"karl.kunisch@uni-graz.at#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":16.1636,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.98571898,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"5","first_page":"2083","last_page":"2100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9965000152587891,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9962000250816345,"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/controllability","display_name":"Controllability","score":0.7868329286575317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.745257556438446},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.7161495685577393},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6942473649978638},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.645328164100647},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5845604538917542},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5652180910110474},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5208771228790283},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.45945578813552856},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4524456858634949},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44995054602622986},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4302329123020172},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2622596323490143},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21093928813934326},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11172744631767273}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.7868329286575317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.745257556438446},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.7161495685577393},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6942473649978638},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.645328164100647},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5845604538917542},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5652180910110474},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5208771228790283},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.45945578813552856},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4524456858634949},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44995054602622986},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4302329123020172},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2622596323490143},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21093928813934326},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11172744631767273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/100784667","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100784667","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:unipub.uni-graz.at:123469","is_oa":false,"landing_page_url":"http://resolver.obvsg.at/urn:nbn:at:at-ubg:3-192","pdf_url":null,"source":{"id":"https://openalex.org/S4306400359","display_name":"Unipub UB Graz (Universit\u00e4t Graz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I15766117","host_organization_name":"University of Graz","host_organization_lineage":["https://openalex.org/I15766117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W60908348","https://openalex.org/W2014767798","https://openalex.org/W2023934148","https://openalex.org/W2034079759","https://openalex.org/W2047291599","https://openalex.org/W2059225689","https://openalex.org/W2070584352","https://openalex.org/W2094073940","https://openalex.org/W2095505387","https://openalex.org/W2170423125","https://openalex.org/W2171467378","https://openalex.org/W4250028192"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W2561315646","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W3094719947","https://openalex.org/W1972598260","https://openalex.org/W2043909370"],"abstract_inverted_index":{"The":[0,62,77,88],"paper":[1],"introduces":[2],"minimum":[3],"effort":[4],"control":[5,18,44,60,69,112],"problems.":[6],"These":[7],"provide":[8],"an":[9,67],"answer":[10],"to":[11,24,28,40,51,55,94],"the":[12,15,26,41,48,53,56,75,104,124,129],"question":[13],"of":[14,80,103,128],"smallest":[16],"possible":[17],"bound":[19],"which":[20,46],"still":[21],"allows":[22],"us":[23],"drive":[25,52],"system":[27,54],"a":[29,32,38,59,95,115],"target":[30],"within":[31],"fixed":[33],"time":[34,42,49],"T.":[35],"This":[36],"is":[37,64,92],"counterpart":[39],"optimal":[43,68],"problem":[45,63,70],"minimizes":[47],"required":[50],"target,":[57],"given":[58],"bound.":[61],"formulated":[65],"as":[66],"with":[71],"pointwise":[72],"constraint":[73],"on":[74],"control.":[76],"necessary":[78],"conditions":[79],"optimality":[81],"are":[82,108,120],"derived":[83],"by":[84],"Lagrange":[85],"multiplier":[86],"theory.":[87],"semismooth":[89,105],"Newton":[90,106],"method":[91,107],"applied":[93],"properly":[96],"regularized":[97],"problem.":[98],"Well-posedness":[99],"and":[100,126],"superlinear":[101],"convergence":[102],"proved":[109],"for":[110,122],"linear":[111],"systems":[113],"under":[114],"controllability":[116],"condition.":[117],"Numerical":[118],"results":[119],"presented":[121],"demonstrating":[123],"applicability":[125],"feasibility":[127],"proposed":[130],"method.":[131]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
