{"id":"https://openalex.org/W2028448817","doi":"https://doi.org/10.1007/s11590-011-0436-6","title":"A note on quadratic convergence of a smoothing Newton algorithm for the LCP","display_name":"A note on quadratic convergence of a smoothing Newton algorithm for the LCP","publication_year":2011,"publication_date":"2011-12-30","ids":{"openalex":"https://openalex.org/W2028448817","doi":"https://doi.org/10.1007/s11590-011-0436-6","mag":"2028448817"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-011-0436-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-011-0436-6","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5008213435","display_name":"Tie Ni","orcid":null},"institutions":[{"id":"https://openalex.org/I176808543","display_name":"Liaoning Technical University","ror":"https://ror.org/01n2bd587","country_code":"CN","type":"education","lineage":["https://openalex.org/I176808543"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tie Ni","raw_affiliation_strings":["College of Business Administration, Liaoning Technical University, Huludao, 125105, People\u2019s Republic of China","Liaoning Technical University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Business Administration, Liaoning Technical University, Huludao, 125105, People\u2019s Republic of China","institution_ids":["https://openalex.org/I176808543"]},{"raw_affiliation_string":"Liaoning Technical University#TAB#","institution_ids":["https://openalex.org/I176808543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034991793","display_name":"Shenglong Hu","orcid":"https://orcid.org/0000-0003-0036-2880"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Sheng-Long Hu","raw_affiliation_strings":["Department of Mathematics, School of Science, Tianjin University, Tianjin, 300072, People\u2019s Republic of China","The Hong Kong Polytechnic University","Tianjin University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Tianjin University, Tianjin, 300072, People\u2019s Republic of China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"The Hong Kong Polytechnic University","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Tianjin University","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034991793"],"corresponding_institution_ids":["https://openalex.org/I14243506","https://openalex.org/I162868743"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.8074,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70879255,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"7","issue":"3","first_page":"519","last_page":"531"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9962999820709229,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.8177496194839478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.630956768989563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5538648962974548},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.5397243499755859},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5068188309669495},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5053685307502747},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.44139012694358826},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43433642387390137},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42116817831993103},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3649139404296875},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3270721435546875},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14100882411003113},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1006341278553009},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07085341215133667},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05825001001358032}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.8177496194839478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.630956768989563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5538648962974548},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.5397243499755859},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5068188309669495},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5053685307502747},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.44139012694358826},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43433642387390137},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42116817831993103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3649139404296875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3270721435546875},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14100882411003113},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1006341278553009},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07085341215133667},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05825001001358032},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-011-0436-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-011-0436-6","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1560867458","https://openalex.org/W1971798429","https://openalex.org/W1974299940","https://openalex.org/W1975686449","https://openalex.org/W1975855784","https://openalex.org/W1992688650","https://openalex.org/W2000798143","https://openalex.org/W2012726395","https://openalex.org/W2038505155","https://openalex.org/W2042388020","https://openalex.org/W2050095729","https://openalex.org/W2068798347","https://openalex.org/W2070031908","https://openalex.org/W2316561959","https://openalex.org/W2327412968"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2125114371","https://openalex.org/W2019977573","https://openalex.org/W2149980199","https://openalex.org/W3125766170","https://openalex.org/W2040641410"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
