{"id":"https://openalex.org/W746623371","doi":"https://doi.org/10.1007/s13675-015-0039-6","title":"An interior-point method for nonlinear optimization problems with locatable and separable nonsmoothness","display_name":"An interior-point method for nonlinear optimization problems with locatable and separable nonsmoothness","publication_year":2015,"publication_date":"2015-06-08","ids":{"openalex":"https://openalex.org/W746623371","doi":"https://doi.org/10.1007/s13675-015-0039-6","mag":"746623371"},"language":"en","primary_location":{"id":"doi:10.1007/s13675-015-0039-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0039-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1007/s13675-015-0039-6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002857019","display_name":"Martin Schmidt","orcid":"https://orcid.org/0000-0001-6208-5677"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Schmidt","raw_affiliation_strings":["Department Mathematik, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstra\u00dfe 11, 91058, Erlangen, Germany","Energie Campus N\u00fcrnberg, F\u00fcrther Stra\u00dfe 250, 90429, N\u00fcrnberg, Germany"],"affiliations":[{"raw_affiliation_string":"Department Mathematik, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstra\u00dfe 11, 91058, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Energie Campus N\u00fcrnberg, F\u00fcrther Stra\u00dfe 250, 90429, N\u00fcrnberg, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002857019"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":{"value":1400,"currency":"USD","value_usd":1400},"apc_paid":{"value":1400,"currency":"USD","value_usd":1400},"fwci":1.0122,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.72915435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"3","issue":"4","first_page":"309","last_page":"348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T11053","display_name":"Process Optimization and Integration","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10791","display_name":"Advanced Control Systems Optimization","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.7863825559616089},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7097439765930176},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.6568979620933533},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6509051322937012},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.62943434715271},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6204121112823486},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5318887829780579},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5204677581787109},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5060083270072937},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.43228620290756226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3510068655014038},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09804189205169678}],"concepts":[{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7863825559616089},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7097439765930176},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.6568979620933533},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6509051322937012},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.62943434715271},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6204121112823486},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5318887829780579},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5204677581787109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5060083270072937},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.43228620290756226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3510068655014038},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09804189205169678},{"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/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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s13675-015-0039-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0039-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:785d771eaa8a4122ab0d0d8943d3a2b5","is_oa":true,"landing_page_url":"https://doaj.org/article/785d771eaa8a4122ab0d0d8943d3a2b5","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURO Journal on Computational Optimization, Vol 3, Iss 4, Pp 309-348 (2015)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s13675-015-0039-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0039-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W173349798","https://openalex.org/W339805186","https://openalex.org/W1508335918","https://openalex.org/W1551360398","https://openalex.org/W1553702074","https://openalex.org/W1939145901","https://openalex.org/W1960239420","https://openalex.org/W1965391256","https://openalex.org/W1974037049","https://openalex.org/W1976385924","https://openalex.org/W1991182684","https://openalex.org/W2033040247","https://openalex.org/W2035072927","https://openalex.org/W2037490650","https://openalex.org/W2041684917","https://openalex.org/W2048799772","https://openalex.org/W2069671092","https://openalex.org/W2079688774","https://openalex.org/W2086867325","https://openalex.org/W2110964083","https://openalex.org/W2123871098","https://openalex.org/W2130632243","https://openalex.org/W2145071753","https://openalex.org/W2149454052","https://openalex.org/W2158617645","https://openalex.org/W2211652776","https://openalex.org/W2403192619","https://openalex.org/W2503766622","https://openalex.org/W2611147814","https://openalex.org/W2611293703","https://openalex.org/W2798909945","https://openalex.org/W2917891345","https://openalex.org/W3028030598","https://openalex.org/W3029645440","https://openalex.org/W3043060850","https://openalex.org/W4212912562","https://openalex.org/W4239814377","https://openalex.org/W4247489173","https://openalex.org/W4253214256"],"related_works":["https://openalex.org/W2890257643","https://openalex.org/W1495503294","https://openalex.org/W2161149697","https://openalex.org/W2131023196","https://openalex.org/W255338418","https://openalex.org/W2089015038","https://openalex.org/W202615542","https://openalex.org/W1983813429","https://openalex.org/W2340378315","https://openalex.org/W2013038594"],"abstract_inverted_index":{"Many":[0],"real-world":[1,89],"optimization":[2,15,32],"models":[3],"comprise":[4],"nonconvex":[5],"and":[6,36,44,51,74],"nonsmooth":[7,38],"functions":[8],"leading":[9],"to":[10,53,63],"very":[11],"hard":[12],"classes":[13],"of":[14,31,84],"models.":[16],"In":[17],"this":[18],"article,":[19],"a":[20,54,75],"new":[21,86],"interior-point":[22,56],"method":[23,57,87],"for":[24,58,88],"the":[25,46,65,82,85],"special,":[26],"but":[27],"practically":[28],"relevant":[29],"class":[30],"problems":[33,47],"with":[34],"locatable":[35],"separable":[37],"aspects":[39],"is":[40,78],"presented.":[41],"After":[42],"motivating":[43],"formalizing":[45],"under":[48],"consideration,":[49],"modifications":[50],"extensions":[52],"standard":[55],"nonlinear":[59],"programming":[60],"are":[61,72],"investigated":[62],"solve":[64],"introduced":[66],"problem":[67],"class.":[68],"First":[69],"theoretical":[70],"results":[71],"given":[73],"numerical":[76],"study":[77],"presented":[79],"that":[80],"shows":[81],"applicability":[83],"instances":[90],"from":[91],"gas":[92],"network":[93],"optimization.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}