{"id":"https://openalex.org/W4360993616","doi":"https://doi.org/10.1109/access.2023.3262414","title":"A Multi-Step Inertial Proximal Peaceman-Rachford Splitting Method for Separable Convex Programming","display_name":"A Multi-Step Inertial Proximal Peaceman-Rachford Splitting Method for Separable Convex Programming","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4360993616","doi":"https://doi.org/10.1109/access.2023.3262414"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3262414","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3262414","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10082910.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10082910.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100455587","display_name":"Hongyan Li","orcid":"https://orcid.org/0000-0002-6180-7735"},"institutions":[{"id":"https://openalex.org/I176808543","display_name":"Liaoning Technical University","ror":"https://ror.org/01n2bd587","country_code":"CN","type":"education","lineage":["https://openalex.org/I176808543"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongyan Li","raw_affiliation_strings":["School of Business Administration, Liaoning Technical University, Huludao, P. R. China","Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Liaoning Technical University, Huludao, P. R. China","institution_ids":["https://openalex.org/I176808543"]},{"raw_affiliation_string":"Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin, P.R. China","institution_ids":["https://openalex.org/I176808543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101959493","display_name":"Dongmei Yu","orcid":"https://orcid.org/0000-0002-4567-6333"},"institutions":[{"id":"https://openalex.org/I176808543","display_name":"Liaoning Technical University","ror":"https://ror.org/01n2bd587","country_code":"CN","type":"education","lineage":["https://openalex.org/I176808543"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongmei Yu","raw_affiliation_strings":["Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin, P. R. China","School of Mathematical Sciences, Beihang University, Beijing, P.R. China"],"affiliations":[{"raw_affiliation_string":"Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin, P. R. China","institution_ids":["https://openalex.org/I176808543"]},{"raw_affiliation_string":"School of Mathematical Sciences, Beihang University, Beijing, P.R. China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029073403","display_name":"Gao Leifu","orcid":"https://orcid.org/0000-0003-2281-8180"},"institutions":[{"id":"https://openalex.org/I176808543","display_name":"Liaoning Technical University","ror":"https://ror.org/01n2bd587","country_code":"CN","type":"education","lineage":["https://openalex.org/I176808543"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leifu Gao","raw_affiliation_strings":["Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin, P. R. China"],"affiliations":[{"raw_affiliation_string":"Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin, P. R. China","institution_ids":["https://openalex.org/I176808543"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100455587"],"corresponding_institution_ids":["https://openalex.org/I176808543"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03434625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":null,"first_page":"30859","last_page":"30872"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9968000054359436,"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"}},{"id":"https://openalex.org/T10977","display_name":"Optical Imaging and Spectroscopy Techniques","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6825958490371704},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6450021862983704},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6229849457740784},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5286070704460144},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5285781025886536},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5182290077209473},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4865242838859558},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4393070936203003},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4293718934059143},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.42052406072616577},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.37730854749679565},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3766757547855377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32949644327163696}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6825958490371704},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6450021862983704},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6229849457740784},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5286070704460144},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5285781025886536},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5182290077209473},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4865242838859558},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4393070936203003},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4293718934059143},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.42052406072616577},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.37730854749679565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3766757547855377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32949644327163696},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2023.3262414","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3262414","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10082910.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b2912e652bcb47e6ae45f3d2ccd07336","is_oa":true,"landing_page_url":"https://doaj.org/article/b2912e652bcb47e6ae45f3d2ccd07336","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 11, Pp 30859-30872 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3262414","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3262414","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10082910.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G1232518219","display_name":null,"funder_award_id":"2019M650449","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2082826544","display_name":null,"funder_award_id":"Postdoctoral","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4343213417","display_name":null,"funder_award_id":"12201275","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5167091242","display_name":null,"funder_award_id":"No. 1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7001516894","display_name":null,"funder_award_id":"2019M6","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G8137971628","display_name":null,"funder_award_id":"2019M650449","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"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4360993616.pdf","grobid_xml":"https://content.openalex.org/works/W4360993616.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1850691639","https://openalex.org/W1988720110","https://openalex.org/W1989464734","https://openalex.org/W2010286849","https://openalex.org/W2019569173","https://openalex.org/W2043275203","https://openalex.org/W2045079045","https://openalex.org/W2048408528","https://openalex.org/W2054489122","https://openalex.org/W2063357812","https://openalex.org/W2095036901","https://openalex.org/W2103559027","https://openalex.org/W2119862467","https://openalex.org/W2142630814","https://openalex.org/W2164278908","https://openalex.org/W2498623252","https://openalex.org/W2544462709","https://openalex.org/W2564333494","https://openalex.org/W2773075392","https://openalex.org/W2778808770","https://openalex.org/W2805240903","https://openalex.org/W2903821133","https://openalex.org/W2986987282","https://openalex.org/W2995445161","https://openalex.org/W3119005206","https://openalex.org/W3128168241","https://openalex.org/W3135064523","https://openalex.org/W3136976430","https://openalex.org/W3196593178","https://openalex.org/W6729317629","https://openalex.org/W6788359288"],"related_works":["https://openalex.org/W2352839224","https://openalex.org/W2371590971","https://openalex.org/W2386048074","https://openalex.org/W2203098598","https://openalex.org/W1653317167","https://openalex.org/W1520530328","https://openalex.org/W1989828432","https://openalex.org/W2187390889","https://openalex.org/W2135796990","https://openalex.org/W2024017812"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,43],"propose":[4],"a":[5,28],"multi-step":[6],"inertial":[7,40],"proximal":[8],"Peaceman-Rachford":[9,33],"splitting":[10,34],"method":[11],"(abbreviated":[12],"as":[13],"MIP-PRSM)":[14],"for":[15,31],"solving":[16],"the":[17,45,49,60,67,84,87],"two-block":[18],"separable":[19],"convex":[20,68],"optimization":[21],"problems":[22,82],"with":[23,39],"linear":[24],"constraints,":[25],"which":[26],"is":[27],"unified":[29],"framework":[30],"such":[32],"methods":[35],"(PRSM)-based":[36],"improved":[37],"algorithms":[38],"step.":[41],"Furthermore,":[42],"establish":[44],"global":[46],"convergence":[47],"of":[48,86],"MIP-PRSM":[50],"under":[51],"some":[52,55],"assumptions.":[53],"Finally,":[54],"numerical":[56],"experimental":[57],"results":[58],"on":[59],"least":[61],"squares":[62],"semidefinite":[63],"programming":[64,70],"(LSSP),":[65],"LASSO,":[66],"quadratic":[69],"problem":[71],"(CQPP),":[72],"total":[73],"variation":[74],"(TV)":[75],"based":[76],"denoising":[77],"and":[78],"medical":[79],"image":[80],"reconstruction":[81],"demonstrate":[83],"efficiency":[85],"proposed":[88],"method.":[89]},"counts_by_year":[],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
