{"id":"https://openalex.org/W2014479920","doi":"https://doi.org/10.1007/s00186-014-0480-y","title":"A strongly polynomial-time algorithm for the strict homogeneous linear-inequality feasibility problem","display_name":"A strongly polynomial-time algorithm for the strict homogeneous linear-inequality feasibility problem","publication_year":2014,"publication_date":"2014-10-25","ids":{"openalex":"https://openalex.org/W2014479920","doi":"https://doi.org/10.1007/s00186-014-0480-y","mag":"2014479920"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-014-0480-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-014-0480-y","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/A5102272028","display_name":"Paulo Roberto Oliveira","orcid":"https://orcid.org/0009-0002-6187-4177"},"institutions":[{"id":"https://openalex.org/I4210113996","display_name":"Centro Universit\u00e1rio da Cidade","ror":"https://ror.org/032bg8m67","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210113996"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Paulo Roberto Oliveira","raw_affiliation_strings":["PESC/COPPE - UFRJ, Centro de Tecnologia, Cidade Universit\u00e1ria, Ilha do Fund\u00e3o, C. P. 68511, Rio de Janeiro, 21941-972, Brazil","Cidade Universit\u00e1ria"],"affiliations":[{"raw_affiliation_string":"PESC/COPPE - UFRJ, Centro de Tecnologia, Cidade Universit\u00e1ria, Ilha do Fund\u00e3o, C. P. 68511, Rio de Janeiro, 21941-972, Brazil","institution_ids":[]},{"raw_affiliation_string":"Cidade Universit\u00e1ria","institution_ids":["https://openalex.org/I4210113996"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102272028"],"corresponding_institution_ids":["https://openalex.org/I4210113996"],"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":0.11319562,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":"3","first_page":"267","last_page":"284"},"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":0.9993000030517578,"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":0.9991999864578247,"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/orthant","display_name":"Orthant","score":0.8908708691596985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7902745008468628},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6065057516098022},{"id":"https://openalex.org/keywords/homogeneous-polynomial","display_name":"Homogeneous polynomial","score":0.59368497133255},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5632001161575317},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.4850544333457947},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46115943789482117},{"id":"https://openalex.org/keywords/linear-inequality","display_name":"Linear inequality","score":0.4383639395236969},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4316136837005615},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4038317799568176},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3912162780761719},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36976635456085205},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3608679473400116},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.29235178232192993},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.245391845703125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1349620819091797}],"concepts":[{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.8908708691596985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7902745008468628},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6065057516098022},{"id":"https://openalex.org/C17103678","wikidata":"https://www.wikidata.org/wiki/Q1474074","display_name":"Homogeneous polynomial","level":4,"score":0.59368497133255},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5632001161575317},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.4850544333457947},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46115943789482117},{"id":"https://openalex.org/C84135550","wikidata":"https://www.wikidata.org/wiki/Q3154022","display_name":"Linear inequality","level":3,"score":0.4383639395236969},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4316136837005615},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4038317799568176},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3912162780761719},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36976635456085205},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3608679473400116},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.29235178232192993},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.245391845703125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1349620819091797},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00186-014-0480-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-014-0480-y","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:80:y:2014:i:3:p:267-284","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00186-014-0480-y","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":[{"id":"https://metadata.un.org/sdg/10","score":0.47999998927116394,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W16136492","https://openalex.org/W87140126","https://openalex.org/W198508004","https://openalex.org/W642313811","https://openalex.org/W1210424432","https://openalex.org/W1458771408","https://openalex.org/W1505731132","https://openalex.org/W1515429414","https://openalex.org/W1528063838","https://openalex.org/W1568288633","https://openalex.org/W1966986674","https://openalex.org/W1976346374","https://openalex.org/W1980869082","https://openalex.org/W1983860046","https://openalex.org/W1999751856","https://openalex.org/W2001626469","https://openalex.org/W2009995718","https://openalex.org/W2015263936","https://openalex.org/W2019794334","https://openalex.org/W2020361255","https://openalex.org/W2027065545","https://openalex.org/W2029485670","https://openalex.org/W2033511209","https://openalex.org/W2034880549","https://openalex.org/W2055356142","https://openalex.org/W2055582487","https://openalex.org/W2059969305","https://openalex.org/W2062908445","https://openalex.org/W2066333552","https://openalex.org/W2073749939","https://openalex.org/W2076310535","https://openalex.org/W2079305402","https://openalex.org/W2085440994","https://openalex.org/W2086580845","https://openalex.org/W2089417871","https://openalex.org/W2103985627","https://openalex.org/W2146263335","https://openalex.org/W2321466613","https://openalex.org/W2329579984","https://openalex.org/W2764386120","https://openalex.org/W2798766386","https://openalex.org/W4211092921","https://openalex.org/W4237055776","https://openalex.org/W4252052822","https://openalex.org/W4255034812","https://openalex.org/W4301435544"],"related_works":["https://openalex.org/W772650738","https://openalex.org/W2044221060","https://openalex.org/W1608416389","https://openalex.org/W1975695738","https://openalex.org/W2014479920","https://openalex.org/W1982433837","https://openalex.org/W1490224653","https://openalex.org/W2085999286","https://openalex.org/W2773857498","https://openalex.org/W2073873127"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
