{"id":"https://openalex.org/W3015446442","doi":"https://doi.org/10.3390/sym12040608","title":"Partially Projective Algorithm for the Split Feasibility Problem with Visualization of the Solution Set","display_name":"Partially Projective Algorithm for the Split Feasibility Problem with Visualization of the Solution Set","publication_year":2020,"publication_date":"2020-04-11","ids":{"openalex":"https://openalex.org/W3015446442","doi":"https://doi.org/10.3390/sym12040608","mag":"3015446442"},"language":"en","primary_location":{"id":"doi:10.3390/sym12040608","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040608","pdf_url":"https://www.mdpi.com/2073-8994/12/4/608/pdf?version=1587732018","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/12/4/608/pdf?version=1587732018","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062718062","display_name":"Andreea Bejenaru","orcid":"https://orcid.org/0000-0003-2741-2243"},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Andreea Bejenaru","raw_affiliation_strings":["Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania"],"raw_orcid":"https://orcid.org/0000-0003-2741-2243","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania","institution_ids":["https://openalex.org/I61641377"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004206649","display_name":"Mihai Postolache","orcid":"https://orcid.org/0000-0003-0738-787X"},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]},{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO","TW"],"is_corresponding":true,"raw_author_name":"Mihai Postolache","raw_affiliation_strings":["Center for General Education, China Medical University, Taichung 40402, Taiwan","Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania","Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, 050711 Bucharest, Romania"],"raw_orcid":"https://orcid.org/0000-0003-0738-787X","affiliations":[{"raw_affiliation_string":"Center for General Education, China Medical University, Taichung 40402, Taiwan","institution_ids":["https://openalex.org/I184693016"]},{"raw_affiliation_string":"Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania","institution_ids":["https://openalex.org/I61641377"]},{"raw_affiliation_string":"Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, 050711 Bucharest, Romania","institution_ids":["https://openalex.org/I58077936"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004206649"],"corresponding_institution_ids":["https://openalex.org/I184693016","https://openalex.org/I58077936","https://openalex.org/I61641377"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4335,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67809062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"4","first_page":"608","last_page":"608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9987999796867371,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/algorithm","display_name":"Algorithm","score":0.6615341305732727},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6608659029006958},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6466180086135864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.610055148601532},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.5581642389297485},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.5551455616950989},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.335732102394104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3048020005226135},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1704922318458557}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6615341305732727},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6608659029006958},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6466180086135864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.610055148601532},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.5581642389297485},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.5551455616950989},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.335732102394104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3048020005226135},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1704922318458557},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym12040608","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040608","pdf_url":"https://www.mdpi.com/2073-8994/12/4/608/pdf?version=1587732018","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:43be3f5c1c304c818142eb94c0d29a62","is_oa":true,"landing_page_url":"https://doaj.org/article/43be3f5c1c304c818142eb94c0d29a62","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 12, Iss 4, p 608 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym12040608","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12040608","pdf_url":"https://www.mdpi.com/2073-8994/12/4/608/pdf?version=1587732018","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3015446442.pdf","grobid_xml":"https://content.openalex.org/works/W3015446442.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W941076426","https://openalex.org/W1988539966","https://openalex.org/W1997815116","https://openalex.org/W2017614763","https://openalex.org/W2021349021","https://openalex.org/W2030239401","https://openalex.org/W2051076175","https://openalex.org/W2051706947","https://openalex.org/W2053487511","https://openalex.org/W2100503136","https://openalex.org/W2116248771","https://openalex.org/W2150195104","https://openalex.org/W2169188538","https://openalex.org/W2681909776","https://openalex.org/W2911188829","https://openalex.org/W2928783095","https://openalex.org/W2979134588","https://openalex.org/W6677176166"],"related_works":["https://openalex.org/W2001489718","https://openalex.org/W2024319036","https://openalex.org/W1549557214","https://openalex.org/W1982071305","https://openalex.org/W2026311931","https://openalex.org/W2004502427","https://openalex.org/W2073468254","https://openalex.org/W2419173576","https://openalex.org/W2059052781","https://openalex.org/W2461518464"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3],"new":[4],"three-step":[5],"algorithm":[6],"to":[7,40,58],"solve":[8],"the":[9,20,26,42,50,63,71,80],"split":[10],"feasibility":[11],"problem.":[12],"The":[13,45],"main":[14],"advantage":[15],"is":[16,38,74],"that":[17,49],"one":[18],"of":[19,70,79],"projective":[21],"operators":[22],"interferes":[23],"only":[24],"in":[25,30],"final":[27],"step,":[28],"resulting":[29],"less":[31],"computations":[32],"at":[33],"each":[34],"iteration.":[35],"An":[36,67],"example":[37],"provided":[39],"support":[41],"theoretical":[43],"approach.":[44],"numerical":[46,72],"simulation":[47],"reveals":[48],"newly":[51],"introduced":[52],"procedure":[53],"has":[54],"increased":[55],"performance":[56],"compared":[57],"other":[59],"existing":[60],"methods,":[61],"including":[62],"classic":[64],"CQ":[65],"algorithm.":[66],"interesting":[68],"outcome":[69],"modeling":[73],"an":[75],"approximate":[76],"visual":[77],"image":[78],"solution":[81],"set.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
