{"id":"https://openalex.org/W2044308757","doi":"https://doi.org/10.1007/s101079900076","title":"Smooth methods of multipliers for complementarity problems","display_name":"Smooth methods of multipliers for complementarity problems","publication_year":1999,"publication_date":"1999-09-01","ids":{"openalex":"https://openalex.org/W2044308757","doi":"https://doi.org/10.1007/s101079900076","mag":"2044308757"},"language":"en","primary_location":{"id":"doi:10.1007/s101079900076","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101079900076","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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 Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://minds.wisconsin.edu/bitstream/1793/65802/1/97-01.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015859697","display_name":"Jonathan Eckstein","orcid":"https://orcid.org/0000-0002-6871-2691"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Jonathan Eckstein","raw_affiliation_strings":["Faculty of Management and RUTCOR, Rutgers University, 640 Bartholomew Road, Piscataway, NJ 08854, e-mail: jeckstei@rutcor.rutgers.edu., , , , , , US","Faculty of Management and RUTCOR, Rutgers University, 640 Bartholomew Road, Piscataway, NJ 08854, e-mail: jeckstei@rutcor.rutgers.edu., , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Management and RUTCOR, Rutgers University, 640 Bartholomew Road, Piscataway, NJ 08854, e-mail: jeckstei@rutcor.rutgers.edu., , , , , , US","institution_ids":["https://openalex.org/I4210096112","https://openalex.org/I102322142"]},{"raw_affiliation_string":"Faculty of Management and RUTCOR, Rutgers University, 640 Bartholomew Road, Piscataway, NJ 08854, e-mail: jeckstei@rutcor.rutgers.edu., , US","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088455558","display_name":"Michael C. Ferris","orcid":"https://orcid.org/0000-0002-7652-6776"},"institutions":[{"id":"https://openalex.org/I1304256225","display_name":"University of Wisconsin System","ror":"https://ror.org/03ydkyb10","country_code":"US","type":"education","lineage":["https://openalex.org/I1304256225"]},{"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":false,"raw_author_name":"Michael C. Ferris","raw_affiliation_strings":["University of Wisconsin, Computer Sciences Department, 1210 West Dayton Street, Madison, WI 53706, e-mail: ferris@cs.wisc.edu., , , , , , US","University of Wisconsin, Computer Sciences Department, 1210 West Dayton Street, Madison, WI 53706, e-mail: ferris@cs.wisc.edu., , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin, Computer Sciences Department, 1210 West Dayton Street, Madison, WI 53706, e-mail: ferris@cs.wisc.edu., , , , , , US","institution_ids":["https://openalex.org/I1304256225","https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin, Computer Sciences Department, 1210 West Dayton Street, Madison, WI 53706, e-mail: ferris@cs.wisc.edu., , US","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.4294,"has_fulltext":true,"cited_by_count":54,"citation_normalized_percentile":{"value":0.92373528,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"86","issue":"1","first_page":"65","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.995199978351593,"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":0.995199978351593,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9704999923706055,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.934499979019165,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.7805531024932861},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.7686965465545654},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.7088780403137207},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6796988248825073},{"id":"https://openalex.org/keywords/nonlinear-complementarity-problem","display_name":"Nonlinear complementarity problem","score":0.6466009616851807},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6360859870910645},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.620792031288147},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.5872098207473755},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5823873281478882},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.5669740438461304},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4681938588619232},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4186614155769348},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4169450104236603},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.30040836334228516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27373194694519043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11141934990882874}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7805531024932861},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.7686965465545654},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.7088780403137207},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6796988248825073},{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.6466009616851807},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6360859870910645},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.620792031288147},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.5872098207473755},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5823873281478882},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.5669740438461304},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4681938588619232},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4186614155769348},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4169450104236603},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.30040836334228516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27373194694519043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11141934990882874},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s101079900076","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101079900076","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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 Programming","raw_type":"journal-article"},{"id":"pmh:oai:minds.wisconsin.edu:1793/65802","is_oa":true,"landing_page_url":"http://digital.library.wisc.edu/1793/65802","pdf_url":"https://minds.wisconsin.edu/bitstream/1793/65802/1/97-01.pdf","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.216.8892","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.216.8892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.wisc.edu/~ferris/papers/mp-smooth.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.45.2256","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.2256","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.cs.wisc.edu/math-prog/tech-reports/97-01.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.52.7142","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.7142","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://rutcor.rutgers.edu/pub/rrr/reports96/27.ps","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:minds.wisconsin.edu:1793/65802","is_oa":true,"landing_page_url":"http://digital.library.wisc.edu/1793/65802","pdf_url":"https://minds.wisconsin.edu/bitstream/1793/65802/1/97-01.pdf","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"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G3337293965","display_name":"PYI:  Development of Efficient Serial and Parallel          Algorithms Based on Mathematical Programming Theory","funder_award_id":"9157632","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2044308757.pdf","grobid_xml":"https://content.openalex.org/works/W2044308757.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W51352559","https://openalex.org/W163258351","https://openalex.org/W590252171","https://openalex.org/W1524324710","https://openalex.org/W1525779601","https://openalex.org/W1582617215","https://openalex.org/W1599532185","https://openalex.org/W1604665355","https://openalex.org/W1881816275","https://openalex.org/W1964056548","https://openalex.org/W1982011875","https://openalex.org/W1985229624","https://openalex.org/W2001024683","https://openalex.org/W2004304255","https://openalex.org/W2005148680","https://openalex.org/W2009274429","https://openalex.org/W2016611950","https://openalex.org/W2036368324","https://openalex.org/W2038497950","https://openalex.org/W2042261731","https://openalex.org/W2043177638","https://openalex.org/W2062868300","https://openalex.org/W2082334903","https://openalex.org/W2090376964","https://openalex.org/W2093417350","https://openalex.org/W2105990362","https://openalex.org/W2112980792","https://openalex.org/W2132677982","https://openalex.org/W2135779729","https://openalex.org/W2150867680","https://openalex.org/W2168660030","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2091810828","https://openalex.org/W2085004531","https://openalex.org/W2157124849","https://openalex.org/W2774961640","https://openalex.org/W2376754743","https://openalex.org/W2384374169","https://openalex.org/W2355923073","https://openalex.org/W1553741403","https://openalex.org/W4311904575","https://openalex.org/W2347608783"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
