{"id":"https://openalex.org/W4409374050","doi":"https://doi.org/10.1142/s0217595925500174","title":"An Inexact Linearized Augmented Lagrangian Method for the Linearly Composite Convex Programming","display_name":"An Inexact Linearized Augmented Lagrangian Method for the Linearly Composite Convex Programming","publication_year":2025,"publication_date":"2025-04-11","ids":{"openalex":"https://openalex.org/W4409374050","doi":"https://doi.org/10.1142/s0217595925500174"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595925500174","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595925500174","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5103749381","display_name":"Tingting Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ting-Ting Zhu","raw_affiliation_strings":["Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China"],"raw_orcid":"https://orcid.org/0009-0002-5526-8891","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xin He","orcid":"https://orcid.org/0000-0002-4896-2482"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin He","raw_affiliation_strings":["School of Science, Xihua University, Chengdu, Sichuan 610039, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-4896-2482","affiliations":[{"raw_affiliation_string":"School of Science, Xihua University, Chengdu, Sichuan 610039, P. R. China","institution_ids":["https://openalex.org/I102345215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059511580","display_name":"Ya-Ping Fang","orcid":"https://orcid.org/0000-0002-1831-8039"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya-Ping Fang","raw_affiliation_strings":["Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-1831-8039","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10157498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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":0.994700014591217,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9941999912261963,"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/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.7317519783973694},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6828085780143738},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.6061474084854126},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5942850112915039},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5894521474838257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5420052409172058},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5220615267753601},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49214738607406616},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.46770259737968445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35636335611343384},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32308492064476013},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21283581852912903},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13228285312652588}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.7317519783973694},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6828085780143738},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.6061474084854126},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5942850112915039},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5894521474838257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5420052409172058},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5220615267753601},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49214738607406616},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.46770259737968445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35636335611343384},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32308492064476013},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21283581852912903},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13228285312652588}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0217595925500174","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595925500174","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4506599621","display_name":null,"funder_award_id":"12471296","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1969198137","https://openalex.org/W2016910236","https://openalex.org/W2030121914","https://openalex.org/W2044774602","https://openalex.org/W2046800445","https://openalex.org/W2057624533","https://openalex.org/W2079558799","https://openalex.org/W2302721240","https://openalex.org/W2517952166","https://openalex.org/W2725989512","https://openalex.org/W2912560860","https://openalex.org/W2962956186","https://openalex.org/W2963073480","https://openalex.org/W2963647795","https://openalex.org/W2971348295","https://openalex.org/W4240391021"],"related_works":["https://openalex.org/W2015060724","https://openalex.org/W2919324478","https://openalex.org/W4400665899","https://openalex.org/W2130120519","https://openalex.org/W2012871340","https://openalex.org/W2315802443","https://openalex.org/W2767923834","https://openalex.org/W2376104286","https://openalex.org/W2082353735","https://openalex.org/W3159039452"],"abstract_inverted_index":{"We":[0,27],"propose":[1],"an":[2,44],"inexact":[3],"linearized":[4,61],"augmented":[5,62],"Lagrangian":[6,63],"method":[7,64],"for":[8,15,65],"the":[9,17,31,35,40,66,69,77,87,90],"linear":[10],"equality":[11],"constrained":[12],"convex":[13,82],"programming,":[14],"which":[16],"objective":[18,32],"function":[19],"has":[20],"a":[21,53,59,81],"\u201cnonsmooth":[22],"+":[23],"smooth\u201d":[24],"composite":[25],"structure.":[26],"show":[28],"that":[29],"both":[30],"error":[33],"and":[34],"constraint":[36],"gap":[37],"associated":[38],"with":[39],"proposed":[41,91],"algorithm":[42],"enjoy":[43],"[Formula:":[45],"see":[46],"text]":[47],"nonergodic":[48],"convergence":[49],"rate.":[50],"By":[51],"choosing":[52],"specific":[54],"proximal":[55,78],"matrix,":[56],"we":[57,85],"drive":[58],"customized":[60],"problem,":[67],"where":[68],"subproblem":[70],"can":[71],"be":[72],"solved":[73],"by":[74,93],"means":[75],"of":[76,80,89],"mapping":[79],"function.":[83],"Finally,":[84],"demonstrate":[86],"efficiency":[88],"algorithms":[92],"two":[94],"numerical":[95],"experiments.":[96]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}