{"id":"https://openalex.org/W2127777213","doi":"https://doi.org/10.1007/s10898-006-9088-y","title":"A finite steps algorithm for solving convex feasibility problems","display_name":"A finite steps algorithm for solving convex feasibility problems","publication_year":2006,"publication_date":"2006-10-05","ids":{"openalex":"https://openalex.org/W2127777213","doi":"https://doi.org/10.1007/s10898-006-9088-y","mag":"2127777213"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-006-9088-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9088-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5060534489","display_name":"Mustapha Ait Rami","orcid":null},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Ait Rami","raw_affiliation_strings":["Department of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","Department of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Department of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018855024","display_name":"Uwe Helmke","orcid":null},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"U. Helmke","raw_affiliation_strings":["Department of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","Department of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Department of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113685133","display_name":"J.B. Moore","orcid":"https://orcid.org/0000-0002-5237-1087"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"J. B. Moore","raw_affiliation_strings":["Department of Information Engineering, Research School of Information Sciences and Engineering, Australian National University, Canberra, ACT, 0200, Australia","Department of Information Engineering, Research School of Information Sciences and Engineering, Australian National University, Canberra, Australia 0200"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Research School of Information Sciences and Engineering, Australian National University, Canberra, ACT, 0200, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Department of Information Engineering, Research School of Information Sciences and Engineering, Australian National University, Canberra, Australia 0200","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018855024"],"corresponding_institution_ids":["https://openalex.org/I25974101"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":1.2907,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.80890487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"38","issue":"1","first_page":"143","last_page":"160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9994999766349792,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9745000004768372,"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":0.8462444543838501},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6914519667625427},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6640664339065552},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5718221664428711},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5068739056587219},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.49283576011657715},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.49265891313552856},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47582247853279114},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4569530785083771},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.44625693559646606},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.43690356612205505},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4319204092025757},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43175965547561646},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4202043414115906},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4143880009651184},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10750171542167664}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8462444543838501},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6914519667625427},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6640664339065552},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5718221664428711},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5068739056587219},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.49283576011657715},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.49265891313552856},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47582247853279114},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4569530785083771},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.44625693559646606},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.43690356612205505},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4319204092025757},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43175965547561646},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4202043414115906},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4143880009651184},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10750171542167664},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-006-9088-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9088-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/28993","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/28993","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W563112638","https://openalex.org/W1498636859","https://openalex.org/W1503960426","https://openalex.org/W1534416612","https://openalex.org/W1967073510","https://openalex.org/W2005545232","https://openalex.org/W2016425264","https://openalex.org/W2032173185","https://openalex.org/W2033511209","https://openalex.org/W2050958701","https://openalex.org/W2066459185","https://openalex.org/W2085440994","https://openalex.org/W2417903161","https://openalex.org/W2463908258","https://openalex.org/W2505534416","https://openalex.org/W2611147814","https://openalex.org/W2912522929","https://openalex.org/W3141641421","https://openalex.org/W3210839039","https://openalex.org/W3213545458","https://openalex.org/W4242697151","https://openalex.org/W4246985475"],"related_works":["https://openalex.org/W4381623700","https://openalex.org/W2040676043","https://openalex.org/W3135309989","https://openalex.org/W3107799181","https://openalex.org/W4256242347","https://openalex.org/W3125145310","https://openalex.org/W2051968184","https://openalex.org/W2153986439","https://openalex.org/W1496637723","https://openalex.org/W2017397317"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
