{"id":"https://openalex.org/W2040017185","doi":"https://doi.org/10.1137/s1052623494278839","title":"A Globally and Superlinearly Convergent Algorithm for Nonsmooth Convex Minimization","display_name":"A Globally and Superlinearly Convergent Algorithm for Nonsmooth Convex Minimization","publication_year":1996,"publication_date":"1996-11-01","ids":{"openalex":"https://openalex.org/W2040017185","doi":"https://doi.org/10.1137/s1052623494278839","mag":"2040017185"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623494278839","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623494278839","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5058813836","display_name":"Masao Fukushima","orcid":"https://orcid.org/0000-0002-4372-6376"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masao Fukushima","raw_affiliation_strings":["Kyoto univ"],"affiliations":[{"raw_affiliation_string":"Kyoto univ","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011886900","display_name":"Liqun Qi","orcid":"https://orcid.org/0000-0002-1112-5250"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Liqun Qi","raw_affiliation_strings":["University Of New south Wales"],"affiliations":[{"raw_affiliation_string":"University Of New south Wales","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058813836"],"corresponding_institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"],"apc_list":null,"apc_paid":null,"fwci":6.0703,"has_fulltext":false,"cited_by_count":94,"citation_normalized_percentile":{"value":0.96620146,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"6","issue":"4","first_page":"1106","last_page":"1120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987999796867371,"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":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8465899229049683},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6913540959358215},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6012652516365051},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5638735890388489},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5638517737388611},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5418627262115479},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5291277170181274},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.501737117767334},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.487925261259079},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46229809522628784},{"id":"https://openalex.org/keywords/proximal-gradient-methods-for-learning","display_name":"Proximal gradient methods for learning","score":0.4116487205028534},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38941049575805664},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.3461954593658447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12519660592079163},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07487127184867859},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05525633692741394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8465899229049683},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6913540959358215},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6012652516365051},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5638735890388489},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5638517737388611},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5418627262115479},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5291277170181274},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.501737117767334},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.487925261259079},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46229809522628784},{"id":"https://openalex.org/C79248915","wikidata":"https://www.wikidata.org/wiki/Q17086776","display_name":"Proximal gradient methods for learning","level":5,"score":0.4116487205028534},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38941049575805664},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.3461954593658447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12519660592079163},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07487127184867859},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05525633692741394},{"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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1052623494278839","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623494278839","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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":22,"referenced_works":["https://openalex.org/W43435585","https://openalex.org/W1511503348","https://openalex.org/W1980428414","https://openalex.org/W1990254027","https://openalex.org/W1992688650","https://openalex.org/W2036748616","https://openalex.org/W2038497950","https://openalex.org/W2042725681","https://openalex.org/W2053643774","https://openalex.org/W2057681237","https://openalex.org/W2081233504","https://openalex.org/W2082746403","https://openalex.org/W2083432309","https://openalex.org/W2086083079","https://openalex.org/W2091561969","https://openalex.org/W2095191675","https://openalex.org/W2113734366","https://openalex.org/W2156074207","https://openalex.org/W2506419233","https://openalex.org/W4247241148","https://openalex.org/W4247489173","https://openalex.org/W4247804133"],"related_works":["https://openalex.org/W4255905436","https://openalex.org/W2072554997","https://openalex.org/W108799873","https://openalex.org/W2963676028","https://openalex.org/W4385382439","https://openalex.org/W2087726221","https://openalex.org/W2356958610","https://openalex.org/W2962779219","https://openalex.org/W3154369540","https://openalex.org/W3208916810"],"abstract_inverted_index":{"It":[0],"is":[1,34,50],"well":[2],"known":[3],"that":[4,33],"a":[5,15,29,54],"possibly":[6],"nondifferentiable":[7],"convex":[8,17],"minimization":[9,18],"problem":[10,19],"can":[11],"be":[12],"transformed":[13],"into":[14],"differentiable":[16],"by":[20],"way":[21],"of":[22,57],"the":[23,38,47],"Moreau\u2013Yosida":[24],"regularization.":[25],"This":[26],"paper":[27],"presents":[28],"globally":[30],"convergent":[31],"algorithm":[32,49],"designed":[35],"to":[36,52],"solve":[37],"latter":[39],"problem.":[40],"Under":[41],"additional":[42],"semismoothness":[43],"and":[44],"regularity":[45],"assumptions,":[46],"proposed":[48],"shown":[51],"have":[53],"Q-superlinear":[55],"rate":[56],"convergence.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
