{"id":"https://openalex.org/W4410619082","doi":"https://doi.org/10.1142/s0217595925500216","title":"Inertial Forward\u2014Reflected\u2014Backward Splitting Method with Linesearch for Nonconvex Split Feasibility Problem","display_name":"Inertial Forward\u2014Reflected\u2014Backward Splitting Method with Linesearch for Nonconvex Split Feasibility Problem","publication_year":2025,"publication_date":"2025-05-23","ids":{"openalex":"https://openalex.org/W4410619082","doi":"https://doi.org/10.1142/s0217595925500216"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595925500216","doi":"https://doi.org/10.1142/s0217595925500216","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595925500216","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,"listed_in":["cwts-core","jufo-1","norway-1","poland-40","russia-white-list-3","vabb-shw"],"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"},"volume":null,"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":null,"display_name":"Yang Yang","orcid":"https://orcid.org/0000-0002-7683-2300","observed_orcids":["https://orcid.org/0000-0002-7683-2300"]},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Yang","raw_affiliation_strings":["Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-7683-2300","affiliations":[{"raw_affiliation_string":"Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036516823","display_name":"Biao Qu","orcid":"https://orcid.org/0000-0001-5354-8043","observed_orcids":["https://orcid.org/0000-0001-5354-8043"]},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Biao Qu","raw_affiliation_strings":["Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-5354-8043","affiliations":[{"raw_affiliation_string":"Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jiayi Song","orcid":"https://orcid.org/0009-0001-5322-9912","observed_orcids":["https://orcid.org/0009-0001-5322-9912"]},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiayi Song","raw_affiliation_strings":["Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China"],"raw_orcid":"https://orcid.org/0009-0001-5322-9912","affiliations":[{"raw_affiliation_string":"Institute of Operations Research, Qufu Normal University, Rizhao 276826, P. R. China","institution_ids":["https://openalex.org/I202126657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036516823"],"corresponding_institution_ids":["https://openalex.org/I202126657"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10210447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9901999831199646,"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":0.9901999831199646,"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":0.005200000014156103,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/line-search","display_name":"line search","score":0.8820000290870667},{"id":"https://openalex.org/keywords/nonsmooth-nonconvex-optimization","display_name":"nonsmooth nonconvex optimization","score":0.8640000224113464},{"id":"https://openalex.org/keywords/semialgebraic-sets","display_name":"semialgebraic sets","score":0.8510000109672546},{"id":"https://openalex.org/keywords/global-convergence","display_name":"global convergence","score":0.9070000052452087},{"id":"https://openalex.org/keywords/linear-convergence","display_name":"linear convergence","score":0.9589999914169312},{"id":"https://openalex.org/keywords/critical-points","display_name":"critical points","score":0.46399998664855957},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"compressed sensing","score":0.7210000157356262},{"id":"https://openalex.org/keywords/intensity-modulated-radiotherapy","display_name":"intensity-modulated radiotherapy","score":0.8669999837875366},{"id":"https://openalex.org/keywords/matrix-factorization","display_name":"matrix factorization","score":0.8389999866485596},{"id":"https://openalex.org/keywords/outlier-detection","display_name":"outlier detection","score":0.996999979019165}],"concepts":[{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6596486568450928},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.5306037068367004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4911613166332245},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4386943280696869},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24058479070663452},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18723252415657043},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.11953374743461609}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0217595925500216","doi":"https://doi.org/10.1142/s0217595925500216","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595925500216","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,"listed_in":["cwts-core","jufo-1","norway-1","poland-40","russia-white-list-3","vabb-shw"],"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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3789655617","display_name":null,"funder_award_id":"ZR2024MA004","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5300160718","display_name":null,"funder_award_id":"12271309","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7335504566","display_name":null,"funder_award_id":"ZR2022MA038","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W199410564","https://openalex.org/W1967138577","https://openalex.org/W2011108295","https://openalex.org/W2019569173","https://openalex.org/W2055467852","https://openalex.org/W2063357812","https://openalex.org/W2129732816","https://openalex.org/W2549127690","https://openalex.org/W2747171130","https://openalex.org/W2754381803","https://openalex.org/W2885174950","https://openalex.org/W2972561294","https://openalex.org/W3010956760","https://openalex.org/W3027891624","https://openalex.org/W3092304654","https://openalex.org/W3196456922","https://openalex.org/W3212784844","https://openalex.org/W4225413344","https://openalex.org/W4281387205","https://openalex.org/W4393115825","https://openalex.org/W4406218970"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,53,66,75,85,111,122],"nonconvex":[4,46],"split":[5],"feasibility":[6],"problem":[7,41],"(NCSFP)":[8],"which":[9],"can":[10],"be":[11],"applied":[12],"widely":[13],"in":[14],"some":[15,79],"practical":[16],"problems,":[17],"such":[18],"as":[19],"compressed":[20],"sensing,":[21],"intensity\u2013modulated":[22],"radiation":[23],"therapy,":[24],"matrix":[25],"factorization,":[26],"outlier":[27],"detection":[28],"problem,":[29],"and":[30,47,68,109,119],"sudoku":[31],"puzzle.":[32],"The":[33],"NCSFP":[34],"is":[35,45],"transformed":[36],"into":[37],"an":[38],"unconstrained":[39],"optimization":[40],"whose":[42],"objective":[43],"function":[44],"nonsmooth.":[48],"Then,":[49],"we":[50,88],"first":[51],"adopt":[52],"framework":[54],"of":[55,78,121],"Malitsky\u2014Tam":[56],"forward\u2014reflected\u2014backward":[57,97],"splitting":[58,98],"method,":[59],"together":[60],"with":[61,100],"inertial":[62,96],"strategy":[63],"to":[64,72,105],"accelerate":[65],"convergence":[67,113],"a":[69,101,106],"linesearch":[70,102],"procedure":[71],"avoid":[73],"computing":[74],"Lipschitz":[76],"constant":[77],"related":[80],"mapping":[81],"simultaneously.":[82],"By":[83],"assuming":[84],"semi\u2013algebraic":[86],"sets,":[87],"demonstrate":[89],"that":[90],"each":[91],"bounded":[92],"sequence":[93],"generated":[94],"by":[95],"method":[99],"globally":[103],"converges":[104],"critical":[107],"point":[108],"obtain":[110],"linear":[112],"rates.":[114],"Numerical":[115],"experiments":[116],"validate":[117],"rationality":[118],"effectiveness":[120],"proposed":[123],"algorithm.":[124]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
