{"id":"https://openalex.org/W2069572432","doi":"https://doi.org/10.1007/s00607-006-0182-2","title":"A Boundary Point Method to Solve Semidefinite Programs","display_name":"A Boundary Point Method to Solve Semidefinite Programs","publication_year":2006,"publication_date":"2006-11-01","ids":{"openalex":"https://openalex.org/W2069572432","doi":"https://doi.org/10.1007/s00607-006-0182-2","mag":"2069572432"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-006-0182-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-006-0182-2","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5074212676","display_name":"Janez Povh","orcid":"https://orcid.org/0000-0002-9856-1476"},"institutions":[{"id":"https://openalex.org/I4210148234","display_name":"School of Business and Management Novo Mesto","ror":"https://ror.org/03m2qyw61","country_code":"SI","type":"education","lineage":["https://openalex.org/I4210148234"]}],"countries":["SI"],"is_corresponding":true,"raw_author_name":"J. Povh","raw_affiliation_strings":["School of Business and Management,  , Na Loko 2, 8000, Novo Mesto, Slovenia","School of Business and Management, \u00a0, Na Loko 2, 8000, Novo Mesto, Slovenia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business and Management,  , Na Loko 2, 8000, Novo Mesto, Slovenia","institution_ids":["https://openalex.org/I4210148234"]},{"raw_affiliation_string":"School of Business and Management, \u00a0, Na Loko 2, 8000, Novo Mesto, Slovenia#TAB#","institution_ids":["https://openalex.org/I4210148234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036114620","display_name":"Franz Rendl","orcid":"https://orcid.org/0000-0003-1578-9414"},"institutions":[{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"F. Rendl","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Alpen-Adria-Universit\u00e4t Klagenfurt, Universit\u00e4tsstr. 65\u201367, 9020, Klagenfurt, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Alpen-Adria-Universit\u00e4t Klagenfurt, Universit\u00e4tsstr. 65\u201367, 9020, Klagenfurt, Austria","institution_ids":["https://openalex.org/I4210166741"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070521757","display_name":"Angelika Wiegele","orcid":"https://orcid.org/0000-0003-1670-7951"},"institutions":[{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"A. Wiegele","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Alpen-Adria-Universit\u00e4t Klagenfurt, Universit\u00e4tsstr. 65\u201367, 9020, Klagenfurt, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Alpen-Adria-Universit\u00e4t Klagenfurt, Universit\u00e4tsstr. 65\u201367, 9020, Klagenfurt, Austria","institution_ids":["https://openalex.org/I4210166741"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074212676"],"corresponding_institution_ids":["https://openalex.org/I4210148234"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":6.9025,"has_fulltext":false,"cited_by_count":102,"citation_normalized_percentile":{"value":0.97163316,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"78","issue":"3","first_page":"277","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10142","display_name":"Formal Methods in Verification","score":0.9937999844551086,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.8891406059265137},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7645362615585327},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6316808462142944},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6118980050086975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5946059823036194},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.5431280732154846},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5143440961837769},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4660552442073822},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4409196376800537},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.4193316698074341},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3935905694961548},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.21025466918945312},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20354297757148743},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14112159609794617},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.09352242946624756}],"concepts":[{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.8891406059265137},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7645362615585327},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6316808462142944},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6118980050086975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5946059823036194},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.5431280732154846},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5143440961837769},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4660552442073822},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4409196376800537},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.4193316698074341},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3935905694961548},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.21025466918945312},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20354297757148743},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14112159609794617},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.09352242946624756},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00607-006-0182-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-006-0182-2","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1669104078","https://openalex.org/W1982165727","https://openalex.org/W1989395545","https://openalex.org/W1993000710","https://openalex.org/W2007218093","https://openalex.org/W2007421997","https://openalex.org/W2072863821","https://openalex.org/W2078289947","https://openalex.org/W2092162155","https://openalex.org/W2143075842","https://openalex.org/W2144606698","https://openalex.org/W2340149117","https://openalex.org/W2988480584"],"related_works":["https://openalex.org/W2348903644","https://openalex.org/W2975050997","https://openalex.org/W2737505353","https://openalex.org/W2912522929","https://openalex.org/W1653317167","https://openalex.org/W1989828432","https://openalex.org/W2364528045","https://openalex.org/W2352839224","https://openalex.org/W2385886188","https://openalex.org/W2461836650"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":9}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
