{"id":"https://openalex.org/W2084874367","doi":"https://doi.org/10.1137/s1052623495279797","title":"Alternating Projection-Proximal Methods for Convex Programming and Variational Inequalities","display_name":"Alternating Projection-Proximal Methods for Convex Programming and Variational Inequalities","publication_year":1997,"publication_date":"1997-11-01","ids":{"openalex":"https://openalex.org/W2084874367","doi":"https://doi.org/10.1137/s1052623495279797","mag":"2084874367"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623495279797","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623495279797","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5110258450","display_name":"Paul Tseng","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paul Tseng","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110258450"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0333,"has_fulltext":false,"cited_by_count":123,"citation_normalized_percentile":{"value":0.77632653,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"7","issue":"4","first_page":"951","last_page":"965"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9973000288009644,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9505000114440918,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8944888114929199},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7763432264328003},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.7631160616874695},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6073659658432007},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5467012524604797},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5405496954917908},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5298283696174622},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.526689887046814},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5166699886322021},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5095765590667725},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47921520471572876},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.4627618193626404},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40856432914733887},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38520777225494385},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32377898693084717},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2384033203125},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18787366151809692},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.07006892561912537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0651213526725769}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8944888114929199},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7763432264328003},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7631160616874695},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6073659658432007},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5467012524604797},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5405496954917908},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5298283696174622},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.526689887046814},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5166699886322021},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5095765590667725},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47921520471572876},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.4627618193626404},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40856432914733887},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38520777225494385},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32377898693084717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2384033203125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18787366151809692},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.07006892561912537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0651213526725769},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1052623495279797","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623495279797","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W94428394","https://openalex.org/W763096230","https://openalex.org/W1583089965","https://openalex.org/W1669104078","https://openalex.org/W1969073096","https://openalex.org/W1970986119","https://openalex.org/W1986364567","https://openalex.org/W1987064381","https://openalex.org/W1988480861","https://openalex.org/W1996903464","https://openalex.org/W1999219269","https://openalex.org/W2019569173","https://openalex.org/W2029020144","https://openalex.org/W2038497950","https://openalex.org/W2058532290","https://openalex.org/W2075226379","https://openalex.org/W2079261074","https://openalex.org/W2090963365","https://openalex.org/W2093417350","https://openalex.org/W2099679613","https://openalex.org/W2124654085","https://openalex.org/W2126051190","https://openalex.org/W2132677982","https://openalex.org/W2135779729","https://openalex.org/W2152119413","https://openalex.org/W2394608080","https://openalex.org/W2478091498","https://openalex.org/W2765234090","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2383497899","https://openalex.org/W2011614914","https://openalex.org/W4300843901","https://openalex.org/W1561249172","https://openalex.org/W2951312832","https://openalex.org/W2794072299","https://openalex.org/W1816587483","https://openalex.org/W2088537853","https://openalex.org/W2085771669","https://openalex.org/W2092196160"],"abstract_inverted_index":{"We":[0,27],"consider":[1],"a":[2,10,13,22,29,38,48,68,87],"mixed":[3],"problem":[4,34],"composed":[5],"in":[6,18],"part":[7,19],"of":[8,12,20,63,71],"finding":[9],"zero":[11],"maximal":[14,43],"monotone":[15,23,44,53],"operator":[16,45],"and":[17,47,57,61,73,84],"solving":[21],"variational":[24,54],"inequality":[25,55],"problem.":[26],"propose":[28],"solution":[30],"method":[31,66,70],"for":[32,81],"this":[33],"that":[35],"alternates":[36],"between":[37],"proximal":[39],"step":[40,50],"(for":[41,51],"the":[42,52],"part)":[46,56],"projection-type":[49],"analyze":[58],"its":[59],"convergence":[60],"rate":[62],"convergence.":[64],"This":[65],"extends":[67],"decomposition":[69,90],"Chen":[72],"Teboulle":[74],"[Math.":[75],"Programming,":[76],"64":[77],"(1994),":[78],"pp.":[79],"81--101]":[80],"convex":[82],"programming":[83],"yields,":[85],"as":[86],"by-product,":[88],"new":[89],"methods.":[91]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}