{"id":"https://openalex.org/W2067877923","doi":"https://doi.org/10.1007/s11075-005-9010-6","title":"Extrapolation algorithm for affine-convex feasibility problems","display_name":"Extrapolation algorithm for affine-convex feasibility problems","publication_year":2005,"publication_date":"2005-12-29","ids":{"openalex":"https://openalex.org/W2067877923","doi":"https://doi.org/10.1007/s11075-005-9010-6","mag":"2067877923"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-005-9010-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-005-9010-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/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"]},{"id":"https://openalex.org/I822440","display_name":"Okanagan University College","ror":"https://ror.org/02mxmh518","country_code":"CA","type":"education","lineage":["https://openalex.org/I822440"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Heinz H. Bauschke","raw_affiliation_strings":["Mathematics, Irving K. Barber School, UBC Okanagan, Kelowna, BC, V1V 1V7, Canada","Mathematics, Irving K. Barber School, UBC Okanagan, Kelowna, Canada","UBC - Okanagan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics, Irving K. Barber School, UBC Okanagan, Kelowna, BC, V1V 1V7, Canada","institution_ids":["https://openalex.org/I822440","https://openalex.org/I4405260628"]},{"raw_affiliation_string":"Mathematics, Irving K. Barber School, UBC Okanagan, Kelowna, Canada","institution_ids":["https://openalex.org/I822440"]},{"raw_affiliation_string":"UBC - Okanagan","institution_ids":["https://openalex.org/I4405260628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081924048","display_name":"Patrick L. Combettes","orcid":"https://orcid.org/0000-0001-9730-5932"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Patrick L. Combettes","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris 6, 75005, Paris, France","Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris 6, Paris, France","Universit\u00e9 Pierre Et Marie Curie Paris 6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris 6, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris 6, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Universit\u00e9 Pierre Et Marie Curie Paris 6","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025051255","display_name":"Serge Kruk","orcid":"https://orcid.org/0000-0001-9272-0942"},"institutions":[{"id":"https://openalex.org/I177721651","display_name":"Oakland University","ror":"https://ror.org/01ythxj32","country_code":"US","type":"education","lineage":["https://openalex.org/I177721651"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Serge G. Kruk","raw_affiliation_strings":["Department of Mathematics and Statistics, Oakland University, Rochester, MI, 48309-4485, USA","Department of Mathematics and Statistics, Oakland University, Rochester, USA","OAKLAND UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Oakland University, Rochester, MI, 48309-4485, USA","institution_ids":["https://openalex.org/I177721651"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Oakland University, Rochester, USA","institution_ids":["https://openalex.org/I177721651"]},{"raw_affiliation_string":"OAKLAND UNIVERSITY","institution_ids":["https://openalex.org/I177721651"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025051255","https://openalex.org/A5081924048","https://openalex.org/A5106498524"],"corresponding_institution_ids":["https://openalex.org/I177721651","https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I4405260628","https://openalex.org/I822440"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.3744,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":{"value":0.92623541,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"41","issue":"3","first_page":"239","last_page":"274"},"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":0.9990000128746033,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/mathematics","display_name":"Mathematics","score":0.7778503894805908},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.7114001512527466},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6444779634475708},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5255885720252991},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.49862098693847656},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4892086982727051},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.45362961292266846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4368608593940735},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43632954359054565},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4142637252807617},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4124751687049866},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3492054343223572},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.26163390278816223},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18419185280799866},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08438432216644287}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7778503894805908},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7114001512527466},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6444779634475708},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5255885720252991},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.49862098693847656},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4892086982727051},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.45362961292266846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4368608593940735},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43632954359054565},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4142637252807617},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4124751687049866},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3492054343223572},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26163390278816223},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18419185280799866},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08438432216644287}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-005-9010-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-005-9010-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.78.4947","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.78.4947","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ann.jussieu.fr/~plc/numeralgo1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W16591383","https://openalex.org/W19249476","https://openalex.org/W33977302","https://openalex.org/W154593720","https://openalex.org/W1487976166","https://openalex.org/W1497941563","https://openalex.org/W1507655327","https://openalex.org/W1557931734","https://openalex.org/W1582299569","https://openalex.org/W1585386565","https://openalex.org/W1600889675","https://openalex.org/W1603628135","https://openalex.org/W1644034812","https://openalex.org/W1710475132","https://openalex.org/W1964168109","https://openalex.org/W1971335842","https://openalex.org/W1971915361","https://openalex.org/W1979948370","https://openalex.org/W1986983198","https://openalex.org/W1989820267","https://openalex.org/W2001626469","https://openalex.org/W2005778669","https://openalex.org/W2008925030","https://openalex.org/W2013548809","https://openalex.org/W2019794334","https://openalex.org/W2026573098","https://openalex.org/W2033511209","https://openalex.org/W2038158348","https://openalex.org/W2038497950","https://openalex.org/W2054796771","https://openalex.org/W2062059813","https://openalex.org/W2069491950","https://openalex.org/W2074214991","https://openalex.org/W2082387112","https://openalex.org/W2082889410","https://openalex.org/W2083938824","https://openalex.org/W2085440994","https://openalex.org/W2092527476","https://openalex.org/W2094508696","https://openalex.org/W2098454198","https://openalex.org/W2128015444","https://openalex.org/W2130469840","https://openalex.org/W2142845856","https://openalex.org/W2144037063","https://openalex.org/W2266418310","https://openalex.org/W2582171088","https://openalex.org/W2586086940","https://openalex.org/W2764386120","https://openalex.org/W2976223356","https://openalex.org/W3213545458","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2359120930","https://openalex.org/W2037613239","https://openalex.org/W1990626142","https://openalex.org/W1983109191","https://openalex.org/W3084689723","https://openalex.org/W3161275408","https://openalex.org/W2140018151","https://openalex.org/W3088056528","https://openalex.org/W2811183536","https://openalex.org/W4312559935"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":8}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
