乐胖代购免代理版

{"id":"https://openalex.org/W2079546778","doi":"https://doi.org/10.1137/s036301299935211x","title":"Solution Sensitivity from General Principles","display_name":"Solution Sensitivity from General Principles","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2079546778","doi":"https://doi.org/10.1137/s036301299935211x","mag":"2079546778"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/s036301299935211x","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5022996003","display_name":"Adam B. Levy","orcid":"https://orcid.org/0000-0003-1341-4811"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Adam B. Levy","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5022996003"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.754,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.935095,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":92},"biblio":{"volume":"40","issue":"1","first_page":"1","last_page":"38"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9993,"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":0.9993,"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":0.9906,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9882,"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/generality","display_name":"Generality","score":0.46033937}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6739964},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6312831},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6033933},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5925243},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.58720356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5155637},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5111323},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.46033937},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4589042},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4430104},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4192158},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19034103},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13469124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12051642},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/s036301299935211x","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":50,"referenced_works":["https://openalex.org/W109144975","https://openalex.org/W136356331","https://openalex.org/W1484024929","https://openalex.org/W1522222833","https://openalex.org/W1528330203","https://openalex.org/W1551360398","https://openalex.org/W1607072065","https://openalex.org/W178845783","https://openalex.org/W1969331293","https://openalex.org/W1975756369","https://openalex.org/W1984161778","https://openalex.org/W1993647205","https://openalex.org/W2000125728","https://openalex.org/W2001492912","https://openalex.org/W2001550503","https://openalex.org/W2010337082","https://openalex.org/W2022853838","https://openalex.org/W2023105568","https://openalex.org/W2027378843","https://openalex.org/W2032449980","https://openalex.org/W2033155834","https://openalex.org/W2033560262","https://openalex.org/W2036561236","https://openalex.org/W2041692216","https://openalex.org/W2045034940","https://openalex.org/W2045565888","https://openalex.org/W2057361274","https://openalex.org/W2075493017","https://openalex.org/W2076627354","https://openalex.org/W2083030901","https://openalex.org/W2083231020","https://openalex.org/W2088302576","https://openalex.org/W2093020024","https://openalex.org/W2097287227","https://openalex.org/W2097564522","https://openalex.org/W2100233399","https://openalex.org/W2141640731","https://openalex.org/W21456002","https://openalex.org/W2162151148","https://openalex.org/W2171587393","https://openalex.org/W2329275945","https://openalex.org/W2491823388","https://openalex.org/W2497608796","https://openalex.org/W25306814","https://openalex.org/W4241081283","https://openalex.org/W4248564526","https://openalex.org/W4256368617","https://openalex.org/W4285719527","https://openalex.org/W628699192","https://openalex.org/W84056083"],"related_works":["https://openalex.org/W4381094582","https://openalex.org/W2369625323","https://openalex.org/W2364579609","https://openalex.org/W2353528968","https://openalex.org/W2201908702","https://openalex.org/W2045049461","https://openalex.org/W1991171386","https://openalex.org/W1978893398","https://openalex.org/W1977906818","https://openalex.org/W1522139108"],"abstract_inverted_index":{"We":[0,16,134],"present":[1],"a":[2,52,158],"generic":[3],"approach":[4,48,103,153,171,223],"for":[5,140,164,219,232],"the":[6,38,64,88,92,95,145,148],"sensitivity":[7,70,160],"analysis":[8,161],"of":[9,22,40,63,72,94,101,116,147,185,211],"solutions":[10,127],"to":[11,86,113,128],"parameterized":[12,141],"finite-dimensional":[13,167],"optimization":[14,74,168],"problems.":[15],"study":[17],"differentiability":[18],"and":[19,35,37,69,202,229],"continuity":[20,203],"properties":[21,204,234,244],"quasi-solutions":[23,42,215],"(stationary":[24],"points":[25],"or":[26,213],"stationary":[27],"point-multiplier":[28],"pairs),":[29],"as":[30,32,61],"well":[31],"their":[33],"existence":[34],"uniqueness,":[36],"issue":[39],"when":[41],"are":[43,131,189],"actually":[44],"optimal":[45,217],"solutions.":[46],"Our":[47,170],"is":[49,123,154,162,172],"founded":[50],"on":[51,105,150],"few":[53],"general":[54,89],"rules":[55,90,149],"that":[56,110,157,188,245],"can":[57,76,199,205],"all":[58],"be":[59,77,200,206],"viewed":[60],"generalizations":[62],"classical":[65],"inverse":[66,107],"mapping":[67,108],"theorem,":[68],"analyses":[71],"particular":[73,96],"models":[75],"made":[78],"by":[79,176,181],"computing":[80,120],"certain":[81],"generalized":[82,197],"derivatives":[83,115,198],"in":[84,192,209,235],"order":[85],"translate":[87],"into":[91],"terminology":[93],"model.":[97],"The":[98],"useful":[99],"application":[100],"this":[102,137],"hinges":[104],"an":[106],"theorem":[109],"allows":[111],"us":[112],"compute":[114],"solution":[117],"mappings":[118],"without":[119],"solutions,":[121],"which":[122,151],"crucial":[124],"since":[125],"numerical":[126],"sensitive":[129],"problems":[130],"fundamentally":[132],"unreliable.":[133],"illustrate":[135],"how":[136],"process":[138],"works":[139],"nonlinear":[142],"programs,":[143],"but":[144,180,238],"generality":[146],"our":[152],"based":[155],"means":[156],"similar":[159],"possible":[163],"practically":[165],"any":[166],"problem.":[169],"distinguished":[173],"not":[174,225],"only":[175,226],"its":[177,182],"broad":[178],"applicability":[179],"separate":[183],"treatment":[184],"different":[186],"issues":[187],"frequently":[190],"treated":[191],"tandem.":[193],"In":[194],"particular,":[195],"meaningful":[196],"computed":[201],"established":[207],"even":[208],"cases":[210],"multiple":[212],"no":[214],"(or":[216],"solutions)":[218],"some":[220],"parameters.":[221],"This":[222],"has":[224,239],"produced":[227],"unprecedented":[228],"computable":[230],"conditions":[231],"traditional":[233],"well-studied":[236],"situations,":[237],"also":[240],"characterized":[241],"interesting":[242],"new":[243],"might":[246],"otherwise":[247],"have":[248],"remained":[249],"unexplored.":[250]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2079546778","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-04-17T07:45:55.445678","created_date":"2016-06-24"}