{"id":"https://openalex.org/W3034446014","doi":"https://doi.org/10.1155/2020/9091387","title":"Construction of a Class of Sharp L\u00f6wner Majorants for a Set of Symmetric Matrices","display_name":"Construction of a Class of Sharp L\u00f6wner Majorants for a Set of Symmetric Matrices","publication_year":2020,"publication_date":"2020-06-11","ids":{"openalex":"https://openalex.org/W3034446014","doi":"https://doi.org/10.1155/2020/9091387","mag":"3034446014"},"language":"en","primary_location":{"id":"doi:10.1155/2020/9091387","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/9091387","pdf_url":"https://downloads.hindawi.com/journals/jam/2020/9091387.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2020/9091387.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045453698","display_name":"Mauricio Fern\u00e1ndez","orcid":"https://orcid.org/0000-0003-1840-1243"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mauricio Fern\u00e1ndez","raw_affiliation_strings":["Cyber-Physical Simulation Group, Department of Mechanical Engineering, Technical University of Darmstadt, Dolivostra\u03b2e 15, 64293 Darmstadt, Germany","Institute of Applied Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569 Stuttgart, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1840-1243","affiliations":[{"raw_affiliation_string":"Cyber-Physical Simulation Group, Department of Mechanical Engineering, Technical University of Darmstadt, Dolivostra\u03b2e 15, 64293 Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"Institute of Applied Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026094651","display_name":"Felix Fritzen","orcid":"https://orcid.org/0000-0003-4926-0068"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Felix Fritzen","raw_affiliation_strings":["Institute of Applied Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569 Stuttgart, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4926-0068","affiliations":[{"raw_affiliation_string":"Institute of Applied Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045453698"],"corresponding_institution_ids":["https://openalex.org/I100066346","https://openalex.org/I31512782"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06172995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11115","display_name":"Topology Optimization in Engineering","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/context","display_name":"Context (archaeology)","score":0.6709527969360352},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5690763592720032},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5429409146308899},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5261998772621155},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5232909321784973},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5119162797927856},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.5056159496307373},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4519311487674713},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4435780644416809},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42934197187423706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37001150846481323},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.09690922498703003},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0952872633934021},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07520988583564758}],"concepts":[{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6709527969360352},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5690763592720032},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5429409146308899},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5261998772621155},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5232909321784973},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5119162797927856},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.5056159496307373},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4519311487674713},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4435780644416809},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42934197187423706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37001150846481323},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.09690922498703003},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0952872633934021},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07520988583564758},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/9091387","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/9091387","pdf_url":"https://downloads.hindawi.com/journals/jam/2020/9091387.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnljam:9091387","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2020/9091387.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:57bc831230d742db98c3b5a30df55dd6","is_oa":true,"landing_page_url":"https://doaj.org/article/57bc831230d742db98c3b5a30df55dd6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/9091387","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/9091387","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/9091387","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/9091387","pdf_url":"https://downloads.hindawi.com/journals/jam/2020/9091387.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4853324067","display_name":null,"funder_award_id":"257987586","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5242836262","display_name":null,"funder_award_id":"406068690","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5528019454","display_name":null,"funder_award_id":"FR2702/6","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7372526832","display_name":null,"funder_award_id":"FR2702/8","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7404279538","display_name":null,"funder_award_id":"project number 390740016","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8784604414","display_name":null,"funder_award_id":"390740016","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3034446014.pdf","grobid_xml":"https://content.openalex.org/works/W3034446014.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W254308002","https://openalex.org/W836674248","https://openalex.org/W1431135779","https://openalex.org/W1973274990","https://openalex.org/W1997155281","https://openalex.org/W2011163643","https://openalex.org/W2017580271","https://openalex.org/W2033173198","https://openalex.org/W2037110180","https://openalex.org/W2048830580","https://openalex.org/W2149526945","https://openalex.org/W2203975942","https://openalex.org/W2461651802","https://openalex.org/W2568893564","https://openalex.org/W2586341812","https://openalex.org/W2912522929","https://openalex.org/W4206559779","https://openalex.org/W4244513129"],"related_works":["https://openalex.org/W1502458949","https://openalex.org/W2323830966","https://openalex.org/W188032563","https://openalex.org/W2362838148","https://openalex.org/W2359279826","https://openalex.org/W2085581092","https://openalex.org/W2361901126","https://openalex.org/W2387523877","https://openalex.org/W2360858150","https://openalex.org/W370365947"],"abstract_inverted_index":{"The":[0,65,108],"L\u00f6wner":[1,12,26,75],"partial":[2],"order":[3,9],"is":[4,28,89,94],"taken":[5],"into":[6],"consideration":[7],"in":[8,45,57,63,115],"to":[10,85,96],"define":[11],"majorants":[13,27,76],"for":[14,102,129,134],"a":[15,36,40,125],"given":[16],"finite":[17],"set":[18],"of":[19,25,48,52,60,74,104,110,120,123],"symmetric":[20],"matrices.":[21],"A":[22],"special":[23],"class":[24],"analyzed":[29],"based":[30],"on":[31],"two":[32],"specific":[33],"matrix":[34],"parametrizations:":[35],"two-parametric":[37],"form":[38],"and":[39,82,101],"four-parametric":[41],"form,":[42],"which":[43],"arise":[44],"the":[46,53,58,70,98,105,111,118,130],"context":[47],"so-called":[49],"zeroth-order":[50,121],"bounds":[51,122],"effective":[54],"linear":[55],"behavior":[56],"field":[59],"solid":[61],"mechanics":[62,124],"engineering.":[64],"condensed":[66],"explicit":[67],"conditions":[68],"defining":[69],"convex":[71],"parameter":[72],"sets":[73],"are":[77,80],"derived.":[78],"Examples":[79],"provided,":[81],"potential":[83],"application":[84],"semidefinite":[86],"programming":[87],"problems":[88],"discussed.":[90],"Open-source":[91],"MATLAB":[92],"software":[93],"provided":[95],"support":[97],"theoretical":[99],"findings":[100],"reproduction":[103],"presented":[106],"results.":[107],"results":[109],"present":[112],"work":[113],"offer":[114],"combination":[116],"with":[117],"theory":[119],"highly":[126],"efficient":[127],"approach":[128],"automated":[131],"material":[132],"selection":[133],"future":[135],"engineering":[136],"applications.":[137]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}