{"id":"https://openalex.org/W2040567446","doi":"https://doi.org/10.1007/s10589-005-2178-9","title":"Convergence Properties of a Conditional \u03b5-Subgradient Method Applied to Linear Programs","display_name":"Convergence Properties of a Conditional \u03b5-Subgradient Method Applied to Linear Programs","publication_year":2005,"publication_date":"2005-06-01","ids":{"openalex":"https://openalex.org/W2040567446","doi":"https://doi.org/10.1007/s10589-005-2178-9","mag":"2040567446"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-005-2178-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-005-2178-9","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5049989695","display_name":"S. V. Rzhevskii","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133108","display_name":"European University","ror":"https://ror.org/032s10s29","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210133108"]},{"id":"https://openalex.org/I94179979","display_name":"EU Business School","ror":"https://ror.org/04facnr46","country_code":"CH","type":"education","lineage":["https://openalex.org/I94179979"]}],"countries":["CH","UA"],"is_corresponding":true,"raw_author_name":"Sergei V. Rzhevskii","raw_affiliation_strings":["European University of Finance, Information Systems, Management and Business, Kiev, Ukraine","European University of Finance, Information Systems, Management and Business, Kiev, Ukraine#TAB#"],"affiliations":[{"raw_affiliation_string":"European University of Finance, Information Systems, Management and Business, Kiev, Ukraine","institution_ids":["https://openalex.org/I4210133108"]},{"raw_affiliation_string":"European University of Finance, Information Systems, Management and Business, Kiev, Ukraine#TAB#","institution_ids":["https://openalex.org/I94179979"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049989695"],"corresponding_institution_ids":["https://openalex.org/I4210133108","https://openalex.org/I94179979"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3372,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61504189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"2","first_page":"145","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9998000264167786,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.9624373912811279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8369084596633911},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6056061387062073},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6028628349304199},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6012899875640869},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5697058439254761},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4952360689640045},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.48438912630081177},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4695606529712677},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4627988040447235},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43629199266433716},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4343329071998596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12204018235206604}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9624373912811279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8369084596633911},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6056061387062073},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6028628349304199},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6012899875640869},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5697058439254761},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4952360689640045},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.48438912630081177},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4695606529712677},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4627988040447235},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43629199266433716},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4343329071998596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12204018235206604},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10589-005-2178-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-005-2178-9","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W11112849","https://openalex.org/W44132750","https://openalex.org/W570579919","https://openalex.org/W1510026593","https://openalex.org/W1553702074","https://openalex.org/W1568288633","https://openalex.org/W1669104078","https://openalex.org/W2014845894","https://openalex.org/W2046338755","https://openalex.org/W2061360434","https://openalex.org/W2067243588","https://openalex.org/W2071640677","https://openalex.org/W2079688774","https://openalex.org/W2146131395","https://openalex.org/W2161438841","https://openalex.org/W2325681654","https://openalex.org/W2798735774","https://openalex.org/W3106807711","https://openalex.org/W4212912562","https://openalex.org/W4232103266","https://openalex.org/W4249044135","https://openalex.org/W4253214256","https://openalex.org/W6601788902"],"related_works":["https://openalex.org/W4238880966","https://openalex.org/W2128927076","https://openalex.org/W2465405765","https://openalex.org/W4297153560","https://openalex.org/W2964186284","https://openalex.org/W2804400349","https://openalex.org/W4292651679","https://openalex.org/W2400034325","https://openalex.org/W2499557797","https://openalex.org/W4387635768"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
