{"id":"https://openalex.org/W2043230024","doi":"https://doi.org/10.1016/s0022-0000(76)80021-9","title":"Sufficient conditions for the convergence of monotonic mathematicalprogramming algorithms","display_name":"Sufficient conditions for the convergence of monotonic mathematicalprogramming algorithms","publication_year":1976,"publication_date":"1976-02-01","ids":{"openalex":"https://openalex.org/W2043230024","doi":"https://doi.org/10.1016/s0022-0000(76)80021-9","mag":"2043230024"},"language":"en","primary_location":{"id":"doi:10.1016/s0022-0000(76)80021-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0022-0000(76)80021-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022000076800219/pdf","source":{"id":"https://openalex.org/S141020589","display_name":"Journal of Computer and System Sciences","issn_l":"0022-0000","issn":["0022-0000","1090-2724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computer and System Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0022000076800219/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032795099","display_name":"R. R. Meyer","orcid":"https://orcid.org/0000-0002-1361-4699"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R.R. Meyer","raw_affiliation_strings":["Computer Sciences Department, University of Wisconsin, Madison, Wisconsin 53706, USA","Computer Sciences Department University of Wisconsin Madison, Wisconsin 53706, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin, Madison, Wisconsin 53706, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Computer Sciences Department University of Wisconsin Madison, Wisconsin 53706, USA#TAB#","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032795099"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":{"value":2650,"currency":"USD","value_usd":2650},"apc_paid":null,"fwci":3.3713,"has_fulltext":true,"cited_by_count":115,"citation_normalized_percentile":{"value":0.92862472,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"12","issue":"1","first_page":"108","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9983000159263611,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9753999710083008,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.8741028308868408},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7995389699935913},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7114917635917664},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.594484806060791},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5822799801826477},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5480272769927979},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5229093432426453},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5057806968688965},{"id":"https://openalex.org/keywords/symbolic-convergence-theory","display_name":"Symbolic convergence theory","score":0.4952947199344635},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48098981380462646},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4753054082393646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42229408025741577},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42133116722106934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33341145515441895},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.2984135150909424},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06679466366767883}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.8741028308868408},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7995389699935913},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7114917635917664},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.594484806060791},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5822799801826477},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5480272769927979},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5229093432426453},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5057806968688965},{"id":"https://openalex.org/C64980692","wikidata":"https://www.wikidata.org/wiki/Q16191959","display_name":"Symbolic convergence theory","level":3,"score":0.4952947199344635},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48098981380462646},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4753054082393646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42229408025741577},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42133116722106934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33341145515441895},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2984135150909424},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06679466366767883},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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:10.1016/s0022-0000(76)80021-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0022-0000(76)80021-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022000076800219/pdf","source":{"id":"https://openalex.org/S141020589","display_name":"Journal of Computer and System Sciences","issn_l":"0022-0000","issn":["0022-0000","1090-2724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computer and System Sciences","raw_type":"journal-article"},{"id":"pmh:oai:minds.wisconsin.edu:1793/57884","is_oa":false,"landing_page_url":"http://digital.library.wisc.edu/1793/57884","pdf_url":null,"source":{"id":"https://openalex.org/S4306401622","display_name":"Minds at UW (University of Wisconsin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I135310074","host_organization_name":"University of Wisconsin\u2013Madison","host_organization_lineage":["https://openalex.org/I135310074"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical Report"}],"best_oa_location":{"id":"doi:10.1016/s0022-0000(76)80021-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0022-0000(76)80021-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022000076800219/pdf","source":{"id":"https://openalex.org/S141020589","display_name":"Journal of Computer and System Sciences","issn_l":"0022-0000","issn":["0022-0000","1090-2724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computer and System Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2043230024.pdf","grobid_xml":"https://content.openalex.org/works/W2043230024.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2002774670","https://openalex.org/W2034003332","https://openalex.org/W2044609813","https://openalex.org/W2049060162","https://openalex.org/W2077830999","https://openalex.org/W6650924575","https://openalex.org/W6658952723"],"related_works":["https://openalex.org/W1989097617","https://openalex.org/W2081997106","https://openalex.org/W4387722500","https://openalex.org/W2005448961","https://openalex.org/W1977945237","https://openalex.org/W1987841878","https://openalex.org/W2716174782","https://openalex.org/W4242678198","https://openalex.org/W2801141369","https://openalex.org/W2043230024"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}