{"id":"https://openalex.org/W2951948474","doi":"https://doi.org/10.1007/s10589-017-9912-y","title":"Forward\u2013backward quasi-Newton methods for nonsmooth optimization problems","display_name":"Forward\u2013backward quasi-Newton methods for nonsmooth optimization problems","publication_year":2017,"publication_date":"2017-04-10","ids":{"openalex":"https://openalex.org/W2951948474","doi":"https://doi.org/10.1007/s10589-017-9912-y","mag":"2951948474"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-017-9912-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-017-9912-y","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1604.08096","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028410511","display_name":"Lorenzo Stella","orcid":"https://orcid.org/0000-0002-8304-7327"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Lorenzo Stella","raw_affiliation_strings":["Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001, Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-8304-7327","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010064441","display_name":"Andreas Themelis","orcid":"https://orcid.org/0000-0002-6044-0169"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Andreas Themelis","raw_affiliation_strings":["Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001, Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-6044-0169","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031380765","display_name":"Panagiotis Patrinos","orcid":"https://orcid.org/0000-0003-4824-7697"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Panagiotis Patrinos","raw_affiliation_strings":["Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001, Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0003-4824-7697","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028410511"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":13.0866,"has_fulltext":true,"cited_by_count":126,"citation_normalized_percentile":{"value":0.99516207,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"67","issue":"3","first_page":"443","last_page":"487"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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/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/T10545","display_name":"Optimization and Variational Analysis","score":0.9950000047683716,"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/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.8091686367988586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.610373854637146},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5192908644676208},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.515021800994873},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5086756348609924},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5061356425285339},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44747301936149597},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.44294121861457825},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42977315187454224},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.41778475046157837},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.41717618703842163},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3502034544944763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3398926854133606},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2531099319458008},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11085662245750427}],"concepts":[{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.8091686367988586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.610373854637146},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5192908644676208},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.515021800994873},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5086756348609924},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5061356425285339},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44747301936149597},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.44294121861457825},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42977315187454224},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.41778475046157837},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.41717618703842163},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3502034544944763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3398926854133606},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2531099319458008},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11085662245750427},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10589-017-9912-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-017-9912-y","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1604.08096","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1604.08096","pdf_url":"https://arxiv.org/pdf/1604.08096","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":"pmh:oai:RePEc:spr:coopap:v:67:y:2017:i:3:d:10.1007_s10589-017-9912-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-017-9912-y","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:catalog.lib.kyushu-u.ac.jp:2324/4399990","is_oa":true,"landing_page_url":"http://hdl.handle.net/2324/4399990","pdf_url":null,"source":{"id":"https://openalex.org/S4306400832","display_name":"Kyushu University Institutional Repository (QIR) (Kyushu University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I135598925","host_organization_name":"Kyushu University","host_organization_lineage":["https://openalex.org/I135598925"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"1573-2894","raw_type":"journal article"},{"id":"pmh:oai:irdb.nii.ac.jp:01211:0005985729","is_oa":true,"landing_page_url":"https://hdl.handle.net/2324/4399990","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/568024","is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/bitstream/123456789/568024/3/16-90.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Optimization and Applications, vol. 67 (3), Art.No. 3, (443-487)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1604.08096","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1604.08096","pdf_url":"https://arxiv.org/pdf/1604.08096","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":[],"awards":[{"id":"https://openalex.org/G7530274228","display_name":null,"funder_award_id":"BOF/STG-15-043","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"}],"funders":[{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":85,"referenced_works":["https://openalex.org/W200153971","https://openalex.org/W205960364","https://openalex.org/W351191119","https://openalex.org/W1543439990","https://openalex.org/W1550741530","https://openalex.org/W1786620475","https://openalex.org/W1849979240","https://openalex.org/W1946620893","https://openalex.org/W1948466936","https://openalex.org/W1953936588","https://openalex.org/W1967138577","https://openalex.org/W1985348591","https://openalex.org/W1985496293","https://openalex.org/W1998749910","https://openalex.org/W2000462146","https://openalex.org/W2001732520","https://openalex.org/W2006262045","https://openalex.org/W2006962396","https://openalex.org/W2015163302","https://openalex.org/W2019569173","https://openalex.org/W2021361347","https://openalex.org/W2022541060","https://openalex.org/W2022611944","https://openalex.org/W2024983730","https://openalex.org/W2027982384","https://openalex.org/W2030161963","https://openalex.org/W2038497950","https://openalex.org/W2040017185","https://openalex.org/W2051434435","https://openalex.org/W2051669046","https://openalex.org/W2056254398","https://openalex.org/W2057681237","https://openalex.org/W2062294426","https://openalex.org/W2062320580","https://openalex.org/W2064217481","https://openalex.org/W2068484625","https://openalex.org/W2075146859","https://openalex.org/W2077658674","https://openalex.org/W2078853581","https://openalex.org/W2080297732","https://openalex.org/W2081233504","https://openalex.org/W2091549324","https://openalex.org/W2092087339","https://openalex.org/W2095671204","https://openalex.org/W2100556411","https://openalex.org/W2112820497","https://openalex.org/W2116538711","https://openalex.org/W2117500014","https://openalex.org/W2123503703","https://openalex.org/W2126607811","https://openalex.org/W2129732816","https://openalex.org/W2142694817","https://openalex.org/W2153532571","https://openalex.org/W2157170476","https://openalex.org/W2164278908","https://openalex.org/W2166161964","https://openalex.org/W2331639718","https://openalex.org/W2332676973","https://openalex.org/W2339666411","https://openalex.org/W2506419233","https://openalex.org/W2610857016","https://openalex.org/W2611328865","https://openalex.org/W2798766386","https://openalex.org/W2936995161","https://openalex.org/W2947553656","https://openalex.org/W2962748029","https://openalex.org/W2962871487","https://openalex.org/W2963636509","https://openalex.org/W3012317737","https://openalex.org/W3029645440","https://openalex.org/W3141890267","https://openalex.org/W4212997115","https://openalex.org/W4229650096","https://openalex.org/W4229706427","https://openalex.org/W4234564249","https://openalex.org/W4236796448","https://openalex.org/W4236984989","https://openalex.org/W4240790602","https://openalex.org/W4242209908","https://openalex.org/W4292363360","https://openalex.org/W4293775970","https://openalex.org/W4300448178","https://openalex.org/W4301791716","https://openalex.org/W6601671484","https://openalex.org/W6604481537"],"related_works":["https://openalex.org/W1677518548","https://openalex.org/W4286857066","https://openalex.org/W3213958552","https://openalex.org/W4243698225","https://openalex.org/W4238239967","https://openalex.org/W2793948820","https://openalex.org/W4297812081","https://openalex.org/W2949926331","https://openalex.org/W2754545762","https://openalex.org/W4299562540"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":7}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}