{"id":"https://openalex.org/W1967661144","doi":"https://doi.org/10.1007/s10107-009-0302-9","title":"A robustification approach in unconstrained quadratic optimization","display_name":"A robustification approach in unconstrained quadratic optimization","publication_year":2009,"publication_date":"2009-08-14","ids":{"openalex":"https://openalex.org/W1967661144","doi":"https://doi.org/10.1007/s10107-009-0302-9","mag":"1967661144"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-009-0302-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-009-0302-9","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"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":"Mathematical Programming","raw_type":"journal-article"},"type":"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/A5082903448","display_name":"Martin K. Bernauer","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin K. Bernauer","raw_affiliation_strings":["Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","Chemnitz University of Technology, Faculty of Mathematics, 09107 Chemnitz, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Chemnitz University of Technology, Faculty of Mathematics, 09107 Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109253409","display_name":"Roland Griesse","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Roland Griesse","raw_affiliation_strings":["Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","Chemnitz University of Technology, Faculty of Mathematics, 09107 Chemnitz, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Chemnitz University of Technology, Faculty of Mathematics, 09107 Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082903448"],"corresponding_institution_ids":["https://openalex.org/I2610724"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4752,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62451495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"128","issue":"1-2","first_page":"231","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9988999962806702,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/robustification","display_name":"Robustification","score":0.991793155670166},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.7407547831535339},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6538611054420471},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.642325758934021},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5812046527862549},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5236268639564514},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5008139610290527},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4868866503238678},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.47822755575180054},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4718860387802124},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44076403975486755},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41164523363113403},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34534841775894165},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07639536261558533}],"concepts":[{"id":"https://openalex.org/C2778584072","wikidata":"https://www.wikidata.org/wiki/Q7353545","display_name":"Robustification","level":3,"score":0.991793155670166},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.7407547831535339},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6538611054420471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.642325758934021},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5812046527862549},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5236268639564514},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5008139610290527},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4868866503238678},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.47822755575180054},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4718860387802124},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44076403975486755},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41164523363113403},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34534841775894165},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07639536261558533},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-009-0302-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-009-0302-9","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.564.2441","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.564.2441","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tu-chemnitz.de/mathematik/part_dgl/publications/Bernauer_Griesse__A_Robustification_Approach_in_Unconstrained_Quadratic_Optimization.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W178772886","https://openalex.org/W1518139620","https://openalex.org/W1572204513","https://openalex.org/W1838957145","https://openalex.org/W2006093909","https://openalex.org/W2045611427","https://openalex.org/W2107825213","https://openalex.org/W2131065925","https://openalex.org/W2149819848","https://openalex.org/W2296319761","https://openalex.org/W2478429860","https://openalex.org/W4243923642","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W4206704743","https://openalex.org/W4313119266","https://openalex.org/W2164807043","https://openalex.org/W4231448069","https://openalex.org/W2019128690","https://openalex.org/W2128461291","https://openalex.org/W2355907103","https://openalex.org/W1495847109","https://openalex.org/W2270789747","https://openalex.org/W436931041"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"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"}