{"id":"https://openalex.org/W3001129719","doi":"https://doi.org/10.1007/s11590-020-01600-4","title":"On Dykstra\u2019s algorithm: finite convergence, stalling, and the method of alternating projections","display_name":"On Dykstra\u2019s algorithm: finite convergence, stalling, and the method of alternating projections","publication_year":2020,"publication_date":"2020-05-22","ids":{"openalex":"https://openalex.org/W3001129719","doi":"https://doi.org/10.1007/s11590-020-01600-4","mag":"3001129719"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-020-01600-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-020-01600-4","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2001.06747","any_repository_has_fulltext":true},"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"]},{"id":"https://openalex.org/I2800978909","display_name":"Kelowna General Hospital","ror":"https://ror.org/01j25h453","country_code":"CA","type":"healthcare","lineage":["https://openalex.org/I104778310","https://openalex.org/I2800978909"]},{"id":"https://openalex.org/I4405260628","display_name":"University of British Columbia, Okanagan Campus","ror":"https://ror.org/04241wz75","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490","https://openalex.org/I4405260628"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Heinz H. Bauschke","raw_affiliation_strings":["Mathematics, University of British Columbia, Kelowna, BC, V1V\u00a01V7, Canada","Mathematics, University of British Columbia, Kelowna, Canada"],"affiliations":[{"raw_affiliation_string":"Mathematics, University of British Columbia, Kelowna, BC, V1V\u00a01V7, Canada","institution_ids":["https://openalex.org/I141945490","https://openalex.org/I4405260628"]},{"raw_affiliation_string":"Mathematics, University of British Columbia, Kelowna, Canada","institution_ids":["https://openalex.org/I2800978909","https://openalex.org/I141945490","https://openalex.org/I4405260628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075925642","display_name":"Regina S. Burachik","orcid":"https://orcid.org/0000-0003-1332-6213"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Regina S. Burachik","raw_affiliation_strings":["Mathematics, UniSA STEM, University of South Australia, Mawson Lakes, Adelaide, SA, 5095, Australia","Mathematics, UniSA STEM, University of South Australia, Adelaide, Australia"],"affiliations":[{"raw_affiliation_string":"Mathematics, UniSA STEM, University of South Australia, Mawson Lakes, Adelaide, SA, 5095, Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Mathematics, UniSA STEM, University of South Australia, Adelaide, Australia","institution_ids":["https://openalex.org/I170239107"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004487433","display_name":"Daniel B. Herman","orcid":"https://orcid.org/0000-0002-1275-784X"},"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"]},{"id":"https://openalex.org/I2800978909","display_name":"Kelowna General Hospital","ror":"https://ror.org/01j25h453","country_code":"CA","type":"healthcare","lineage":["https://openalex.org/I104778310","https://openalex.org/I2800978909"]},{"id":"https://openalex.org/I4405260628","display_name":"University of British Columbia, Okanagan Campus","ror":"https://ror.org/04241wz75","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490","https://openalex.org/I4405260628"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Daniel B. Herman","raw_affiliation_strings":["Mathematics, University of British Columbia, Kelowna, BC, V1V\u00a01V7, Canada","Mathematics, University of British Columbia, Kelowna, Canada"],"affiliations":[{"raw_affiliation_string":"Mathematics, University of British Columbia, Kelowna, BC, V1V\u00a01V7, Canada","institution_ids":["https://openalex.org/I141945490","https://openalex.org/I4405260628"]},{"raw_affiliation_string":"Mathematics, University of British Columbia, Kelowna, Canada","institution_ids":["https://openalex.org/I2800978909","https://openalex.org/I141945490","https://openalex.org/I4405260628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077751365","display_name":"C. Yal\u00e7\u0131n Kaya","orcid":"https://orcid.org/0000-0001-7962-7153"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"C. Yal\u00e7\u0131n Kaya","raw_affiliation_strings":["Mathematics, UniSA STEM, University of South Australia, Mawson Lakes, Adelaide, SA, 5095, Australia","Mathematics, UniSA STEM, University of South Australia, Adelaide, Australia"],"affiliations":[{"raw_affiliation_string":"Mathematics, UniSA STEM, University of South Australia, Mawson Lakes, Adelaide, SA, 5095, Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Mathematics, UniSA STEM, University of South Australia, Adelaide, Australia","institution_ids":["https://openalex.org/I170239107"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5106498524"],"corresponding_institution_ids":["https://openalex.org/I141945490","https://openalex.org/I2800978909","https://openalex.org/I4405260628"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03565586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"8","first_page":"1975","last_page":"1987"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9990000128746033,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9742000102996826,"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/mathematics","display_name":"Mathematics","score":0.6007130146026611},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5679792165756226},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.4967973530292511},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48515090346336365},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48047390580177307},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4599435031414032},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35365554690361023},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23276644945144653},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09352117776870728},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06896761059761047}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6007130146026611},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5679792165756226},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4967973530292511},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48515090346336365},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48047390580177307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4599435031414032},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35365554690361023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23276644945144653},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09352117776870728},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06896761059761047},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11590-020-01600-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-020-01600-4","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2001.06747","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.06747","pdf_url":"https://arxiv.org/pdf/2001.06747","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2001.06747","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2001.06747","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:3001129719","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2001.06747","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.06747","pdf_url":"https://arxiv.org/pdf/2001.06747","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3001129719.pdf","grobid_xml":"https://content.openalex.org/works/W3001129719.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1497941563","https://openalex.org/W1536329667","https://openalex.org/W2004328411","https://openalex.org/W2005693246","https://openalex.org/W2797813560","https://openalex.org/W2898569439","https://openalex.org/W2963727072"],"related_works":["https://openalex.org/W2785987549","https://openalex.org/W2139454198","https://openalex.org/W2963899645","https://openalex.org/W1975567493","https://openalex.org/W2949901692","https://openalex.org/W3117852018","https://openalex.org/W2124066831","https://openalex.org/W2915757550","https://openalex.org/W2939133967","https://openalex.org/W3090776302","https://openalex.org/W3198032917","https://openalex.org/W2901994364","https://openalex.org/W2964142159","https://openalex.org/W2131182789","https://openalex.org/W2187154128","https://openalex.org/W2529586764","https://openalex.org/W2963538563","https://openalex.org/W2374590277","https://openalex.org/W2359701449","https://openalex.org/W3180173777"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-26T15:22:09.906841","created_date":"2025-10-10T00:00:00"}
