{"id":"https://openalex.org/W4403192332","doi":"https://doi.org/10.1007/s00186-024-00866-z","title":"How to project onto the intersection of a closed affine subspace and a hyperplane","display_name":"How to project onto the intersection of a closed affine subspace and a hyperplane","publication_year":2024,"publication_date":"2024-10-01","ids":{"openalex":"https://openalex.org/W4403192332","doi":"https://doi.org/10.1007/s00186-024-00866-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-024-00866-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-024-00866-z","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research","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/A5106498524","display_name":"Heinz H. Bauschke","orcid":"https://orcid.org/0000-0002-4155-9930"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Heinz H. Bauschke","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Kelowna, BC, V1V\u00a01V7, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Kelowna, BC, V1V\u00a01V7, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078768537","display_name":"Dayou Mao","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dayou Mao","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L\u00a03G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L\u00a03G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030758178","display_name":"Walaa M. Moursi","orcid":"https://orcid.org/0000-0002-0113-9309"},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA","EG"],"is_corresponding":false,"raw_author_name":"Walaa M. Moursi","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L\u00a03G1, Canada","Mansoura University, Mansoura, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L\u00a03G1, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Mansoura University, Mansoura, Egypt","institution_ids":["https://openalex.org/I159247623"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5106498524"],"corresponding_institution_ids":["https://openalex.org/I141945490"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19262388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"100","issue":"2","first_page":"411","last_page":"435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9973999857902527,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9973999857902527,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.996399998664856,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9902999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.9490398168563843},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7391461730003357},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6935228109359741},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6854257583618164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5444352626800537},{"id":"https://openalex.org/keywords/affine-hull","display_name":"Affine hull","score":0.5382563471794128},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.52638179063797},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4247910678386688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3666490912437439},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24632826447486877},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16147509217262268},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.08141770958900452}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.9490398168563843},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7391461730003357},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6935228109359741},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6854257583618164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5444352626800537},{"id":"https://openalex.org/C112128483","wikidata":"https://www.wikidata.org/wiki/Q382504","display_name":"Affine hull","level":4,"score":0.5382563471794128},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.52638179063797},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4247910678386688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3666490912437439},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24632826447486877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16147509217262268},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.08141770958900452},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00186-024-00866-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-024-00866-z","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:mathme:v:100:y:2024:i:2:d:10.1007_s00186-024-00866-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00186-024-00866-z","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W198508004","https://openalex.org/W205960364","https://openalex.org/W1497941563","https://openalex.org/W2004328411","https://openalex.org/W2010913594","https://openalex.org/W2039472483","https://openalex.org/W2052059821","https://openalex.org/W2055639171","https://openalex.org/W2085440994","https://openalex.org/W2120575449","https://openalex.org/W2121485651","https://openalex.org/W2138647929","https://openalex.org/W2767053458","https://openalex.org/W2991107648","https://openalex.org/W3046836623","https://openalex.org/W3103438079","https://openalex.org/W3165709060","https://openalex.org/W4244070551","https://openalex.org/W4388279027"],"related_works":["https://openalex.org/W4376123210","https://openalex.org/W1972070698","https://openalex.org/W2306105624","https://openalex.org/W2964008969","https://openalex.org/W2063371018","https://openalex.org/W2399434605","https://openalex.org/W4300070731","https://openalex.org/W2016153512","https://openalex.org/W9329817","https://openalex.org/W2375279953"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}