{"id":"https://openalex.org/W2745841187","doi":"https://doi.org/10.1007/s10444-017-9559-3","title":"Alternating direction method of multipliers with difference of convex functions","display_name":"Alternating direction method of multipliers with difference of convex functions","publication_year":2017,"publication_date":"2017-08-16","ids":{"openalex":"https://openalex.org/W2745841187","doi":"https://doi.org/10.1007/s10444-017-9559-3","mag":"2745841187"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-017-9559-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-017-9559-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5037318331","display_name":"Tao Sun","orcid":"https://orcid.org/0000-0001-5024-1900"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tao Sun","raw_affiliation_strings":["College of Science, National University of Defense Technology, Changsha, Hunan, 410073, People\u2019s Republic of China","College of Science, National University of Defense Technology, Changsha, Hunan, 410073, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Science, National University of Defense Technology, Changsha, Hunan, 410073, People\u2019s Republic of China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"College of Science, National University of Defense Technology, Changsha, Hunan, 410073, People's Republic of China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103235601","display_name":"Penghang Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Penghang Yin","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, CA, 90095, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, CA, 90095, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102893559","display_name":"Lizhi Cheng","orcid":"https://orcid.org/0000-0002-8371-066X"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lizhi Cheng","raw_affiliation_strings":["College of Science & The State Key Laboratory for High Performance Computation, National University of Defense Technology, Changsha, Hunan, 410073, People\u2019s Republic of China","College of Science & The State Key Laboratory for High Performance Computation, National University of Defense Technology, Changsha, Hunan, 410073, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Science & The State Key Laboratory for High Performance Computation, National University of Defense Technology, Changsha, Hunan, 410073, People\u2019s Republic of China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"College of Science & The State Key Laboratory for High Performance Computation, National University of Defense Technology, Changsha, Hunan, 410073, People's Republic of China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100712103","display_name":"Hao Jiang","orcid":"https://orcid.org/0000-0001-7334-5657"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Jiang","raw_affiliation_strings":["College of Computer, National University of Defense Technology, Changsha, Hunan, 410073, People\u2019s Republic of China","College of Computer, National University of Defense Technology, Changsha, Hunan, 410073, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Computer, National University of Defense Technology, Changsha, Hunan, 410073, People\u2019s Republic of China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"College of Computer, National University of Defense Technology, Changsha, Hunan, 410073, People's Republic of China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5037318331"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.4568,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.92567413,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"44","issue":"3","first_page":"723","last_page":"744"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.634678840637207},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5564894676208496},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.496338427066803},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49516525864601135},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4755411148071289},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4539109170436859},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.45053407549858093},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44932374358177185},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4238555431365967},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.415187805891037},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.329630047082901},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3209630250930786},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2421034276485443},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0855093002319336},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06625717878341675}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.634678840637207},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5564894676208496},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.496338427066803},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49516525864601135},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4755411148071289},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4539109170436859},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.45053407549858093},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44932374358177185},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4238555431365967},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.415187805891037},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.329630047082901},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3209630250930786},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2421034276485443},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0855093002319336},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06625717878341675},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-017-9559-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-017-9559-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8066718508","display_name":null,"funder_award_id":"61402495","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"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":44,"referenced_works":["https://openalex.org/W1549918636","https://openalex.org/W1586417863","https://openalex.org/W1846534543","https://openalex.org/W1923817890","https://openalex.org/W1964401556","https://openalex.org/W1978333359","https://openalex.org/W1986080131","https://openalex.org/W1990615478","https://openalex.org/W1991857131","https://openalex.org/W1996287810","https://openalex.org/W2011181254","https://openalex.org/W2021361347","https://openalex.org/W2022541060","https://openalex.org/W2027982384","https://openalex.org/W2033468335","https://openalex.org/W2045079045","https://openalex.org/W2067689904","https://openalex.org/W2072378378","https://openalex.org/W2079261074","https://openalex.org/W2089106993","https://openalex.org/W2100549954","https://openalex.org/W2103215959","https://openalex.org/W2103559027","https://openalex.org/W2105693192","https://openalex.org/W2125390510","https://openalex.org/W2142058898","https://openalex.org/W2142333440","https://openalex.org/W2150695437","https://openalex.org/W2163973643","https://openalex.org/W2216139520","https://openalex.org/W2244987555","https://openalex.org/W2277973662","https://openalex.org/W2331639718","https://openalex.org/W2471604734","https://openalex.org/W2913535645","https://openalex.org/W2949483514","https://openalex.org/W3101457173","https://openalex.org/W3142176131","https://openalex.org/W3157341860","https://openalex.org/W6600134738","https://openalex.org/W6601616801","https://openalex.org/W6601756569","https://openalex.org/W6601846001","https://openalex.org/W6604938698"],"related_works":["https://openalex.org/W2553468687","https://openalex.org/W2953137247","https://openalex.org/W2362574016","https://openalex.org/W2666785071","https://openalex.org/W2059396883","https://openalex.org/W130230158","https://openalex.org/W3153752017","https://openalex.org/W4387635768","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}