{"id":"https://openalex.org/W2968735906","doi":"https://doi.org/10.1080/00207160.2019.1656806","title":"Convergence study on the logarithmic-quadratic proximal regularization of strictly contractive Peaceman\u2013Rachford splitting method with larger step-size","display_name":"Convergence study on the logarithmic-quadratic proximal regularization of strictly contractive Peaceman\u2013Rachford splitting method with larger step-size","publication_year":2019,"publication_date":"2019-08-16","ids":{"openalex":"https://openalex.org/W2968735906","doi":"https://doi.org/10.1080/00207160.2019.1656806","mag":"2968735906"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1656806","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1656806","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5054209198","display_name":"Yuncheng Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I16351329","display_name":"China West Normal University","ror":"https://ror.org/04s99y476","country_code":"CN","type":"education","lineage":["https://openalex.org/I16351329"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuncheng Liu","raw_affiliation_strings":["School of Mathematics and Information, China West Normal University, Nanchong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information, China West Normal University, Nanchong, People's Republic of China","institution_ids":["https://openalex.org/I16351329"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101970147","display_name":"Ke Guo","orcid":"https://orcid.org/0000-0002-7459-0715"},"institutions":[{"id":"https://openalex.org/I16351329","display_name":"China West Normal University","ror":"https://ror.org/04s99y476","country_code":"CN","type":"education","lineage":["https://openalex.org/I16351329"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ke Guo","raw_affiliation_strings":["School of Mathematics and Information, China West Normal University, Nanchong, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information, China West Normal University, Nanchong, People's Republic of China","institution_ids":["https://openalex.org/I16351329"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066543309","display_name":"Meijia Yang","orcid":"https://orcid.org/0000-0002-4542-9631"},"institutions":[{"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":"Meijia Yang","raw_affiliation_strings":["School of Mathematics and System Sciences, Beihang University, Beijing, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-4542-9631","affiliations":[{"raw_affiliation_string":"School of Mathematics and System Sciences, Beihang University, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101970147"],"corresponding_institution_ids":["https://openalex.org/I16351329"],"apc_list":null,"apc_paid":null,"fwci":0.3999,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65013845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"97","issue":"8","first_page":"1744","last_page":"1766"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9991000294685364,"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":0.9991000294685364,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.996999979019165,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7180649042129517},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7091526985168457},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6942028999328613},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6549188494682312},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6258785724639893},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5948480367660522},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.493795245885849},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4914044141769409},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45101314783096313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.244756817817688},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15213626623153687},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06425884366035461}],"concepts":[{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7180649042129517},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7091526985168457},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6942028999328613},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6549188494682312},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6258785724639893},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5948480367660522},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.493795245885849},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4914044141769409},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45101314783096313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.244756817817688},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15213626623153687},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06425884366035461},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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:10.1080/00207160.2019.1656806","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1656806","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G292725839","display_name":null,"funder_award_id":"11801455","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3782214368","display_name":null,"funder_award_id":"11571178","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W91193362","https://openalex.org/W1125881252","https://openalex.org/W1486118835","https://openalex.org/W1516681311","https://openalex.org/W1562101002","https://openalex.org/W1981546757","https://openalex.org/W1981798752","https://openalex.org/W1987646218","https://openalex.org/W2004326643","https://openalex.org/W2019569173","https://openalex.org/W2026517977","https://openalex.org/W2027744538","https://openalex.org/W2028690814","https://openalex.org/W2045079045","https://openalex.org/W2047865511","https://openalex.org/W2054489122","https://openalex.org/W2059958128","https://openalex.org/W2091288255","https://openalex.org/W2095036901","https://openalex.org/W2098082567","https://openalex.org/W2523748411","https://openalex.org/W2566755901","https://openalex.org/W2778808770","https://openalex.org/W2985272081","https://openalex.org/W3101465969","https://openalex.org/W3199149775","https://openalex.org/W4229650096","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2009525028","https://openalex.org/W4321064619","https://openalex.org/W2053599029","https://openalex.org/W3011179836","https://openalex.org/W2962925412","https://openalex.org/W3044475370","https://openalex.org/W3141524051","https://openalex.org/W217463380","https://openalex.org/W2623997598","https://openalex.org/W3126543146"],"abstract_inverted_index":{"Recently,":[0],"a":[1,65,100],"strictly":[2],"contractive":[3],"Peaceman\u2013Rachford":[4],"splitting":[5],"method":[6,98],"with":[7,61,68,110],"logarithmic-quadratic":[8],"proximal":[9],"regularization":[10],"(SPRSM-LQP)":[11],"was":[12],"proposed":[13,97],"for":[14],"solving":[15],"two-block":[16],"separable":[17],"convex":[18],"minimization":[19],"model.":[20],"In":[21,51],"practical":[22],"applications,":[23],"however,":[24],"the":[25,36,48,62,74,78,82,96],"smaller":[26],"step-size":[27,41,70,88],"should":[28],"be":[29],"strongly":[30],"avoided.":[31],"So":[32],"we":[33,54,80],"actually":[34],"have":[35],"desire":[37],"of":[38,85],"seeking":[39],"larger":[40,69,87,111],"whenever":[42],"possible":[43],"in":[44],"order":[45],"to":[46],"accelerate":[47],"numerical":[49,92],"performance.":[50],"this":[52],"paper,":[53],"combine":[55],"Fortin":[56],"and":[57,107],"Glowinski's":[58],"accelerating":[59],"techniques":[60],"SPRSM-LQP.":[63],"Thus":[64],"new":[66],"algorithm":[67],"is":[71,105],"proposed.":[72],"Under":[73],"same":[75],"assumptions":[76],"as":[77],"SPRSM-LQP,":[79],"establish":[81],"global":[83],"convergence":[84],"its":[86],"counterpart.":[89],"Moreover,":[90],"preliminary":[91],"results":[93],"show":[94],"that":[95],"on":[99],"traffic":[101],"network":[102],"equilibrium":[103],"problem":[104],"reliable":[106],"more":[108],"efficient":[109],"step-size.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
