{"id":"https://openalex.org/W2137783064","doi":"https://doi.org/10.1137/130907008","title":"Calmness Modulus of Linear Semi-infinite Programs","display_name":"Calmness Modulus of Linear Semi-infinite Programs","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2137783064","doi":"https://doi.org/10.1137/130907008","mag":"2137783064"},"language":"en","primary_location":{"id":"doi:10.1137/130907008","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130907008","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1310.5760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060211619","display_name":"M. J. C\u00e1novas","orcid":"https://orcid.org/0000-0002-1320-485X"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. J. C\u00e1novas","raw_affiliation_strings":["Operations Research Center (Miguel Hernandez University of Elche, Alicante - Spain)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operations Research Center (Miguel Hernandez University of Elche, Alicante - Spain)","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058923248","display_name":"Alexander Y. Kruger","orcid":"https://orcid.org/0000-0002-7861-7380"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Y. Kruger","raw_affiliation_strings":["[Universidad Miguel Hernandez de Elche]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Universidad Miguel Hernandez de Elche]","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100715600","display_name":"Marco A. L\u00f3pez","orcid":"https://orcid.org/0000-0002-0619-9618"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. A. L\u00f3pez","raw_affiliation_strings":["Universidad de Alicante (Carretera San Vicente del Raspeig s/n 03690 San Vicente del Raspeig - Alicante - Spain)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad de Alicante (Carretera San Vicente del Raspeig s/n 03690 San Vicente del Raspeig - Alicante - Spain)","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084439364","display_name":"J. Parra","orcid":"https://orcid.org/0000-0001-8864-975X"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Parra","raw_affiliation_strings":["Operations Research Center (Miguel Hernandez University of Elche, Alicante - Spain)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operations Research Center (Miguel Hernandez University of Elche, Alicante - Spain)","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018659841","display_name":"Michel Th\u00e9ra","orcid":"https://orcid.org/0000-0001-9022-6406"},"institutions":[{"id":"https://openalex.org/I4210093397","display_name":"XLIM","ror":"https://ror.org/00f7srh09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4210093397","https://openalex.org/I4210095849","https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. A. Th\u00e9ra","raw_affiliation_strings":["XLIM-DMI - DMI (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"XLIM-DMI - DMI (France)","institution_ids":["https://openalex.org/I4210093397"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0031,"has_fulltext":true,"cited_by_count":38,"citation_normalized_percentile":{"value":0.95828469,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"1","first_page":"29","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9782000184059143,"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/calmness","display_name":"Calmness","score":0.9922287464141846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8312094211578369},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6799060106277466},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6191706657409668},{"id":"https://openalex.org/keywords/modulus-of-continuity","display_name":"Modulus of continuity","score":0.6029103398323059},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.593418300151825},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48886698484420776},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.4420831799507141},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.43062594532966614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37089431285858154},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2649942636489868},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15572386980056763},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.11253884434700012}],"concepts":[{"id":"https://openalex.org/C2778712213","wikidata":"https://www.wikidata.org/wiki/Q20740046","display_name":"Calmness","level":2,"score":0.9922287464141846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8312094211578369},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6799060106277466},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6191706657409668},{"id":"https://openalex.org/C3098717","wikidata":"https://www.wikidata.org/wiki/Q1144872","display_name":"Modulus of continuity","level":3,"score":0.6029103398323059},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.593418300151825},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48886698484420776},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.4420831799507141},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.43062594532966614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37089431285858154},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2649942636489868},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15572386980056763},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.11253884434700012},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/130907008","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130907008","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:oai:arXiv.org:1310.5760","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1310.5760","pdf_url":"https://arxiv.org/pdf/1310.5760","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"pmh:oai:rua.ua.es:10045/36198","is_oa":true,"landing_page_url":"http://hdl.handle.net/10045/36198","pdf_url":"http://hdl.handle.net/10045/36198","source":{"id":"https://openalex.org/S4306400416","display_name":"Repositorio Institucional de la Universidad de Alicante (Universidad de Alicante)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130194489","host_organization_name":"University of Alicante","host_organization_lineage":["https://openalex.org/I130194489"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:vital:5855","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/44315","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.741.7854","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.741.7854","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1310.5760.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00933319v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00933319","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Optimization, 2014, 24 (1), pp.29-48. &#x27E8;10.1137/130907008&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1310.5760","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1310.5760","pdf_url":"https://arxiv.org/pdf/1310.5760","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321864","display_name":"Generalitat Valenciana","ror":"https://ror.org/0097mvx21"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W21204387","https://openalex.org/W83112366","https://openalex.org/W1513869646","https://openalex.org/W1567995217","https://openalex.org/W1583089965","https://openalex.org/W1990310215","https://openalex.org/W1999046875","https://openalex.org/W1999779503","https://openalex.org/W2005007735","https://openalex.org/W2005895359","https://openalex.org/W2011232570","https://openalex.org/W2022083862","https://openalex.org/W2033474604","https://openalex.org/W2045979166","https://openalex.org/W2047341913","https://openalex.org/W2055069316","https://openalex.org/W2081508039","https://openalex.org/W2101292089","https://openalex.org/W2114605231","https://openalex.org/W2131815933","https://openalex.org/W2237259500","https://openalex.org/W2238449346","https://openalex.org/W2496276084"],"related_works":["https://openalex.org/W2358490822","https://openalex.org/W3086329158","https://openalex.org/W4286813019","https://openalex.org/W3011250038","https://openalex.org/W2131815933","https://openalex.org/W2946213799","https://openalex.org/W2036833017","https://openalex.org/W2046807944","https://openalex.org/W4388731207","https://openalex.org/W2079252788"],"abstract_inverted_index":{"Our":[0],"main":[1],"goal":[2],"is":[3,80,119],"to":[4,43,72,103,136],"compute":[5],"or":[6],"estimate":[7],"the":[8,12,26,34,38,59,74,78,86,89,93,97,104,113,116,127,131,152],"calmness":[9,60,87,128],"modulus":[10,61,76,129],"of":[11,15,25,33,37,88,115,130],"argmin":[13,90,132],"mapping":[14,91,100],"linear":[16],"semi-infinite":[17,63,108],"optimization":[18],"problems":[19],"under":[20],"canonical":[21],"perturbations,":[22],"i.e.,":[23],"perturbations":[24,32],"objective":[27,105],"function":[28],"together":[29],"with":[30,65],"continuous":[31],"right-hand":[35],"side":[36],"constraint":[39],"system":[40],"(with":[41,101],"respect":[42,102],"an":[44,123],"index":[45],"ranging":[46],"in":[47,160],"a":[48,55,143,161],"compact":[49],"Hausdorff":[50],"space).":[51],"Specifically,":[52],"we":[53,140],"provide":[54,142],"lower":[56],"bound":[57,125,146],"on":[58,126,151],"for":[62,96,107],"programs":[64,109],"unique":[66],"optimal":[67],"solution":[68],"which":[69],"turns":[70],"out":[71],"be":[73],"exact":[75],"when":[77],"problem":[79],"finitely":[81,137],"constrained.":[82],"The":[83],"relationship":[84],"between":[85],"and":[92,110,155],"same":[94],"property":[95],"(sub)level":[98],"set":[99],"function),":[106],"without":[111],"requiring":[112],"uniqueness":[114],"nominal":[117,153],"solution,":[118],"explored,":[120],"too,":[121],"providing":[122],"upper":[124,145],"mapping.":[133],"When":[134],"confined":[135],"constrained":[138],"problems,":[139],"also":[141],"computable":[144],"as":[147],"it":[148],"only":[149],"relies":[150],"data":[154],"parameters,":[156],"not":[157],"involving":[158],"elements":[159],"neighborhood.":[162],"Illustrative":[163],"examples":[164],"are":[165],"provided.":[166]},"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":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
