{"id":"https://openalex.org/W7220740715","doi":"https://doi.org/10.48550/arxiv.2610.05138","title":"Single-call Polyak-Type Extragradient Methods for Monotone Root-Finding Problems","display_name":"Single-call Polyak-Type Extragradient Methods for Monotone Root-Finding Problems","publication_year":2026,"publication_date":"2026-10-04","ids":{"openalex":"https://openalex.org/W7220740715","doi":"https://doi.org/10.48550/arxiv.2610.05138"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.05138","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05138","pdf_url":"https://arxiv.org/pdf/2610.05138","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.05138","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157739420","display_name":"Keke Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405258401","display_name":"Chongqing Polytechnic University of Electronic Technology","ror":"https://ror.org/00kf3fs20","country_code":"CN","type":"education","lineage":["https://openalex.org/I4405258401"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li, Keke","raw_affiliation_strings":["College of General Education , Chongqing Polytechnic University of Electronic Technology , Chongqing , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of General Education , Chongqing Polytechnic University of Electronic Technology , Chongqing , China","institution_ids":["https://openalex.org/I4405258401"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5157739420"],"corresponding_institution_ids":["https://openalex.org/I4405258401"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9535999894142151,"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":0.9535999894142151,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.02290000021457672,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.002899999963119626,"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/monotone-operators","display_name":"monotone operators","score":0.9520000219345093},{"id":"https://openalex.org/keywords/linear-convergence","display_name":"linear convergence","score":0.7429999709129333},{"id":"https://openalex.org/keywords/strong-monotonicity","display_name":"strong monotonicity","score":0.9919999837875366}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.7523000240325928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.713100016117096},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6687999963760376},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6412000060081482},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5985999703407288},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5928999781608582},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5260000228881836},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4657000005245209},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4607999920845032},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.3635999858379364},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.35839998722076416},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3303999900817871},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.3301999866962433},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3273000121116638},{"id":"https://openalex.org/C201040074","wikidata":"https://www.wikidata.org/wiki/Q7254436","display_name":"Pseudo-monotone operator","level":5,"score":0.30309998989105225},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26579999923706055},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2563000023365021}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.05138","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05138","pdf_url":"https://arxiv.org/pdf/2610.05138","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2610.05138","doi":"https://doi.org/10.48550/arxiv.2610.05138","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.05138","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.05138","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05138","pdf_url":"https://arxiv.org/pdf/2610.05138","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324805","display_name":"Chongqing Municipal Education Commission","ror":"https://ror.org/031nm5713"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220740715.pdf","grobid_xml":"https://content.openalex.org/works/W7220740715.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7214102371"],"related_works":["https://openalex.org/W7214102371","https://openalex.org/W3207674259","https://openalex.org/W4361865918","https://openalex.org/W6922712957","https://openalex.org/W6903753222","https://openalex.org/W7137909299","https://openalex.org/W7223123524","https://openalex.org/W7106314377","https://openalex.org/W4319793513","https://openalex.org/W7167690536"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,18],"single-call":[3],"variant":[4],"of":[5,48],"Polyak":[6],"extragradient,":[7],"termed":[8],"SPolyakEG,":[9],"by":[10],"recycling":[11],"the":[12,46],"previous":[13],"extrapolation":[14],"operator":[15,49],"evaluation.":[16],"Under":[17],"delayed":[19],"critical":[20],"condition,":[21],"we":[22],"establish":[23],"that":[24],"SPolyakEG":[25,44],"achieves":[26],"an":[27],"$O(1/K)$":[28],"residual":[29],"convergence":[30,37],"rate":[31],"for":[32],"monotone":[33],"operators":[34],"and":[35],"linear":[36],"under":[38],"strong":[39],"monotonicity.":[40],"Compared":[41],"with":[42],"PolyakEG,":[43],"reduces":[45],"number":[47],"evaluations":[50],"from":[51],"two":[52],"to":[53],"one":[54],"per":[55],"iteration.":[56]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}