{"id":"https://openalex.org/W2736660957","doi":"https://doi.org/10.1007/s10107-018-1264-6","title":"Self-concordant inclusions: a unified framework for path-following generalized Newton-type algorithms","display_name":"Self-concordant inclusions: a unified framework for path-following generalized Newton-type algorithms","publication_year":2018,"publication_date":"2018-03-30","ids":{"openalex":"https://openalex.org/W2736660957","doi":"https://doi.org/10.1007/s10107-018-1264-6","mag":"2736660957"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-018-1264-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-018-1264-6","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.07403","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Quoc Tran-Dinh","orcid":"https://orcid.org/0000-0002-5866-0787"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Quoc Tran-Dinh","raw_affiliation_strings":["Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318 Hanes Hall, Chapel Hill, NC, 27599, USA","Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, UNC-Chapel Hill, USA"],"raw_orcid":"https://orcid.org/0000-0002-5866-0787","affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318 Hanes Hall, Chapel Hill, NC, 27599, USA","institution_ids":["https://openalex.org/I114027177"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, UNC-Chapel Hill, USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036380265","display_name":"Tianxiao Sun","orcid":"https://orcid.org/0000-0002-1987-3915"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tianxiao Sun","raw_affiliation_strings":["Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318 Hanes Hall, Chapel Hill, NC, 27599, USA","Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, UNC-Chapel Hill, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318 Hanes Hall, Chapel Hill, NC, 27599, USA","institution_ids":["https://openalex.org/I114027177"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, UNC-Chapel Hill, USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101516861","display_name":"Shu L\u00fc","orcid":"https://orcid.org/0000-0002-4221-3093"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shu Lu","raw_affiliation_strings":["Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318 Hanes Hall, Chapel Hill, NC, 27599, USA","Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, UNC-Chapel Hill, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318 Hanes Hall, Chapel Hill, NC, 27599, USA","institution_ids":["https://openalex.org/I114027177"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, UNC-Chapel Hill, USA","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.3165,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47302684,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"177","issue":"1-2","first_page":"173","last_page":"223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9983000159263611,"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/mathematics","display_name":"Mathematics","score":0.7082939743995667},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.697721540927887},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6187554597854614},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5900633335113525},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5535873174667358},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5153777003288269},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5127187967300415},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.47335100173950195},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4617258906364441},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4503626823425293},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44348955154418945},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.4410487115383148},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39655187726020813},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33984601497650146},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3313504457473755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20793819427490234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1609736979007721}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7082939743995667},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.697721540927887},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6187554597854614},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5900633335113525},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5535873174667358},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5153777003288269},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5127187967300415},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.47335100173950195},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4617258906364441},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4503626823425293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44348955154418945},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.4410487115383148},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39655187726020813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33984601497650146},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3313504457473755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20793819427490234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1609736979007721},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10107-018-1264-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-018-1264-6","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:arXiv.org:1707.07403","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.07403","pdf_url":"https://arxiv.org/pdf/1707.07403","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":null,"raw_type":"text"},{"id":"mag:2736660957","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1707.07403.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1707.07403","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.07403","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.07403","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.07403","pdf_url":"https://arxiv.org/pdf/1707.07403","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":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7599999904632568,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G6164329835","display_name":null,"funder_award_id":"DMS-16-2044","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W905619","https://openalex.org/W205960364","https://openalex.org/W1503476534","https://openalex.org/W1516536271","https://openalex.org/W1568307856","https://openalex.org/W1632601927","https://openalex.org/W1856374787","https://openalex.org/W1861508522","https://openalex.org/W1946620893","https://openalex.org/W1967073510","https://openalex.org/W1970986119","https://openalex.org/W1981705610","https://openalex.org/W1982027431","https://openalex.org/W1985348591","https://openalex.org/W1992208280","https://openalex.org/W1992688650","https://openalex.org/W1993647205","https://openalex.org/W2006262045","https://openalex.org/W2007753746","https://openalex.org/W2009885647","https://openalex.org/W2011430287","https://openalex.org/W2030161963","https://openalex.org/W2042650576","https://openalex.org/W2058532290","https://openalex.org/W2060204507","https://openalex.org/W2067098824","https://openalex.org/W2081316950","https://openalex.org/W2084874367","https://openalex.org/W2088411705","https://openalex.org/W2089559088","https://openalex.org/W2090689930","https://openalex.org/W2092663520","https://openalex.org/W2100556411","https://openalex.org/W2117065890","https://openalex.org/W2124541940","https://openalex.org/W2134656178","https://openalex.org/W2136885855","https://openalex.org/W2138216979","https://openalex.org/W2141640731","https://openalex.org/W2142333440","https://openalex.org/W2142694817","https://openalex.org/W2153271882","https://openalex.org/W2178935672","https://openalex.org/W2297481121","https://openalex.org/W2496276084","https://openalex.org/W2528062157","https://openalex.org/W2567866584","https://openalex.org/W2592679011","https://openalex.org/W2962970587","https://openalex.org/W3029645440","https://openalex.org/W3123373735","https://openalex.org/W3147784984","https://openalex.org/W4206956014","https://openalex.org/W4249667877","https://openalex.org/W4250589301","https://openalex.org/W4292363360","https://openalex.org/W6639920627"],"related_works":["https://openalex.org/W3092358211","https://openalex.org/W3034209907","https://openalex.org/W2944447206","https://openalex.org/W2515697160","https://openalex.org/W2152422059","https://openalex.org/W3121758011","https://openalex.org/W1962121538","https://openalex.org/W2766592646","https://openalex.org/W1999131235","https://openalex.org/W2754296883","https://openalex.org/W2984687545","https://openalex.org/W2913434950","https://openalex.org/W3140088162","https://openalex.org/W3174661081","https://openalex.org/W2772443375","https://openalex.org/W2894350555","https://openalex.org/W3106540119","https://openalex.org/W2892301404","https://openalex.org/W3136016287","https://openalex.org/W2951511090"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
