{"id":"https://openalex.org/W2074161970","doi":"https://doi.org/10.1137/090751025","title":"A Nonsmooth Newton Method with Path Search and Its Use in Solving $C^{1,1}$ Programs and Semi-Infinite Problems","display_name":"A Nonsmooth Newton Method with Path Search and Its Use in Solving $C^{1,1}$ Programs and Semi-Infinite Problems","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2074161970","doi":"https://doi.org/10.1137/090751025","mag":"2074161970"},"language":"en","primary_location":{"id":"doi:10.1137/090751025","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090751025","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":true,"oa_status":"green","oa_url":"https://digitalcollection.zhaw.ch/handle/11475/13856","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075834961","display_name":"Stephan B\u00fctikofer","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stephan B\u00fctikofer","raw_affiliation_strings":["stephan.buetikofer@zhaw.ch#TAB#"],"affiliations":[{"raw_affiliation_string":"stephan.buetikofer@zhaw.ch#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040898115","display_name":"Diethard Klatte","orcid":"https://orcid.org/0000-0003-1859-3249"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Diethard Klatte","raw_affiliation_strings":["klatte@ior.uzh.ch#TAB#"],"affiliations":[{"raw_affiliation_string":"klatte@ior.uzh.ch#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075834961"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8777,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85678733,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"5","first_page":"2381","last_page":"2412"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9922000169754028,"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/mathematics","display_name":"Mathematics","score":0.8031068444252014},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6428704857826233},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5634382367134094},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5184573531150818},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5113992094993591},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5101543068885803},{"id":"https://openalex.org/keywords/semi-infinite-programming","display_name":"Semi-infinite programming","score":0.5046550035476685},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.491115540266037},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4853857755661011},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.45958390831947327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3916458785533905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17071852087974548},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0923795998096466}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8031068444252014},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6428704857826233},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5634382367134094},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5184573531150818},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5113992094993591},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5101543068885803},{"id":"https://openalex.org/C2780394207","wikidata":"https://www.wikidata.org/wiki/Q7449304","display_name":"Semi-infinite programming","level":3,"score":0.5046550035476685},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.491115540266037},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4853857755661011},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.45958390831947327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3916458785533905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17071852087974548},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0923795998096466},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/090751025","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090751025","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"},{"id":"pmh:doi:10.5167/uzh-34746","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Text"},{"id":"pmh:oai:digitalcollection.zhaw.ch:11475/13856","is_oa":true,"landing_page_url":"https://digitalcollection.zhaw.ch/handle/11475/13856","pdf_url":null,"source":{"id":"https://openalex.org/S4306401811","display_name":"Z\u00fcrcher Hochschule f\u00fcr Angewandte Wissenschaften digital collection (Zurich University of Applied Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200744771","host_organization_name":"ZHAW Zurich University of Applied Sciences","host_organization_lineage":["https://openalex.org/I200744771"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:digitalcollection.zhaw.ch:11475/13856","is_oa":true,"landing_page_url":"https://digitalcollection.zhaw.ch/handle/11475/13856","pdf_url":null,"source":{"id":"https://openalex.org/S4306401811","display_name":"Z\u00fcrcher Hochschule f\u00fcr Angewandte Wissenschaften digital collection (Zurich University of Applied Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200744771","host_organization_name":"ZHAW Zurich University of Applied Sciences","host_organization_lineage":["https://openalex.org/I200744771"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W21204387","https://openalex.org/W131498339","https://openalex.org/W1513869646","https://openalex.org/W1543439990","https://openalex.org/W1551360398","https://openalex.org/W1601741115","https://openalex.org/W1607072065","https://openalex.org/W1630757954","https://openalex.org/W1832190644","https://openalex.org/W1964794414","https://openalex.org/W1965826098","https://openalex.org/W1968850685","https://openalex.org/W1978001564","https://openalex.org/W1980145057","https://openalex.org/W1980428414","https://openalex.org/W1981417350","https://openalex.org/W1982027431","https://openalex.org/W1983912843","https://openalex.org/W1992688650","https://openalex.org/W1993647205","https://openalex.org/W1995285162","https://openalex.org/W1995686594","https://openalex.org/W2001024683","https://openalex.org/W2004467349","https://openalex.org/W2007753746","https://openalex.org/W2009885647","https://openalex.org/W2013669246","https://openalex.org/W2018624535","https://openalex.org/W2028773482","https://openalex.org/W2032951014","https://openalex.org/W2038178878","https://openalex.org/W2042725681","https://openalex.org/W2043430160","https://openalex.org/W2059931613","https://openalex.org/W2064706616","https://openalex.org/W2081649642","https://openalex.org/W2081698249","https://openalex.org/W2082746403","https://openalex.org/W2090689930","https://openalex.org/W2090963365","https://openalex.org/W2107501462","https://openalex.org/W2122250523","https://openalex.org/W2148239522","https://openalex.org/W2166161964","https://openalex.org/W2170269759","https://openalex.org/W2218983664","https://openalex.org/W2511935866","https://openalex.org/W2731844756","https://openalex.org/W4237571404","https://openalex.org/W4248555053"],"related_works":["https://openalex.org/W2276648117","https://openalex.org/W2084792246","https://openalex.org/W819098253","https://openalex.org/W1548220668","https://openalex.org/W2765841216","https://openalex.org/W2562269091","https://openalex.org/W169948756","https://openalex.org/W1566966152","https://openalex.org/W621787436","https://openalex.org/W2078891263"],"abstract_inverted_index":{"In":[0],"[S.":[1],"B\u00fctikofer,":[2],"Math.":[3],"Methods":[4],"Oper.":[5],"Res.,":[6],"68":[7],"(2008),":[8],"pp.":[9],"235\u2013256]":[10],"a":[11,20,58,91,98],"nonsmooth":[12],"Newton":[13,85],"method":[14],"globalized":[15],"with":[16,46],"the":[17,31,83,88],"aid":[18],"of":[19,90,100],"path":[21,92],"search":[22],"was":[23],"developed":[24],"in":[25,54,65,81],"an":[26],"abstract":[27],"framework.":[28],"We":[29],"refine":[30],"convergence":[32],"analysis":[33],"given":[34],"there":[35],"and":[36,64,75,87,96,105],"adapt":[37],"this":[38],"algorithm":[39],"to":[40],"certain":[41],"finite":[42],"dimensional":[43],"optimization":[44,74,108],"problems":[45,50],"$C^{1,1}$":[47],"data.":[48],"Such":[49],"arise,":[51],"for":[52,93,103],"example,":[53],"semi-infinite":[55,104,107],"programming":[56],"under":[57],"reduction":[59],"approach":[60],"without":[61],"strict":[62],"complementarity":[63],"generalized":[66,106],"Nash":[67],"equilibrium":[68],"models.":[69],"Using":[70],"results":[71,102],"from":[72],"parametric":[73],"variational":[76],"analysis,":[77],"we":[78],"work":[79],"out":[80],"detail":[82],"concrete":[84],"schemes":[86],"construction":[89],"these":[94],"applications":[95],"discuss":[97],"series":[99],"numerical":[101],"problems.":[109]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
