{"id":"https://openalex.org/W2002811638","doi":"https://doi.org/10.1007/s10589-007-9023-2","title":"A Newton\u2019s method for perturbed second-order cone programs","display_name":"A Newton\u2019s method for perturbed second-order cone programs","publication_year":2007,"publication_date":"2007-04-24","ids":{"openalex":"https://openalex.org/W2002811638","doi":"https://doi.org/10.1007/s10589-007-9023-2","mag":"2002811638"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-007-9023-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9023-2","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5002322690","display_name":"Yu Xia","orcid":"https://orcid.org/0000-0002-5212-0931"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Yu Xia","raw_affiliation_strings":["Center for Operations Research and Econometrics (CORE), Universit\u00e9 Catholique de Louvain, 34 Voie du Roman Pays, B-1348, Louvain-la-Neuve, Belgium","Center for Operations Research and Econometrics (CORE), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium B-1348#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for Operations Research and Econometrics (CORE), Universit\u00e9 Catholique de Louvain, 34 Voie du Roman Pays, B-1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Center for Operations Research and Econometrics (CORE), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium B-1348#TAB#","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002322690"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0117,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.74988202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"37","issue":"3","first_page":"371","last_page":"408"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9768999814987183,"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/mathematics","display_name":"Mathematics","score":0.8293038606643677},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7473980188369751},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.7111893892288208},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6278070211410522},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5940596461296082},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.5327634215354919},{"id":"https://openalex.org/keywords/almost-everywhere","display_name":"Almost everywhere","score":0.49805188179016113},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.47879037261009216},{"id":"https://openalex.org/keywords/directional-derivative","display_name":"Directional derivative","score":0.4693257212638855},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4648206830024719},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4579258859157562},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4502529203891754},{"id":"https://openalex.org/keywords/fr\u00e9chet-derivative","display_name":"Fr\u00e9chet derivative","score":0.44829678535461426},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44447270035743713},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4426249861717224},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.42956024408340454},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4285820722579956},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.3299415707588196},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.31528472900390625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31293854117393494},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.17740872502326965},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17657241225242615},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.12328487634658813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09949818253517151}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8293038606643677},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7473980188369751},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.7111893892288208},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6278070211410522},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5940596461296082},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.5327634215354919},{"id":"https://openalex.org/C27142425","wikidata":"https://www.wikidata.org/wiki/Q1139334","display_name":"Almost everywhere","level":2,"score":0.49805188179016113},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.47879037261009216},{"id":"https://openalex.org/C2011187","wikidata":"https://www.wikidata.org/wiki/Q383851","display_name":"Directional derivative","level":2,"score":0.4693257212638855},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4648206830024719},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4579258859157562},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4502529203891754},{"id":"https://openalex.org/C118335899","wikidata":"https://www.wikidata.org/wiki/Q1305350","display_name":"Fr\u00e9chet derivative","level":3,"score":0.44829678535461426},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44447270035743713},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4426249861717224},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.42956024408340454},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4285820722579956},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.3299415707588196},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.31528472900390625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31293854117393494},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.17740872502326965},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17657241225242615},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.12328487634658813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09949818253517151},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-007-9023-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9023-2","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:cor:louvrp:-1955","is_oa":false,"landing_page_url":"http://doi.org/10.1007/s10589-007-9023-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"preprint"},{"id":"pmh:oai:dial.uclouvain.be:boreal:37529","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/37529","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Optimization and Applications : an international journal, Vol. 37, no. 3, p. 371-408 (2007)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W1518039036","https://openalex.org/W1545571671","https://openalex.org/W1551360398","https://openalex.org/W1603377283","https://openalex.org/W1648057519","https://openalex.org/W1786620475","https://openalex.org/W1963753244","https://openalex.org/W1972867892","https://openalex.org/W1973281249","https://openalex.org/W1992688650","https://openalex.org/W2008571296","https://openalex.org/W2009923109","https://openalex.org/W2013986021","https://openalex.org/W2014944169","https://openalex.org/W2022204379","https://openalex.org/W2027810472","https://openalex.org/W2027826061","https://openalex.org/W2031823405","https://openalex.org/W2043430160","https://openalex.org/W2043647100","https://openalex.org/W2060380213","https://openalex.org/W2067547116","https://openalex.org/W2068484625","https://openalex.org/W2082746403","https://openalex.org/W2105235982","https://openalex.org/W2113734366","https://openalex.org/W2124959855","https://openalex.org/W2128234186","https://openalex.org/W2151902790","https://openalex.org/W2166161964","https://openalex.org/W2177588300","https://openalex.org/W2798766386","https://openalex.org/W4249667877","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2364861597","https://openalex.org/W2066286387","https://openalex.org/W2799184862","https://openalex.org/W2097846334","https://openalex.org/W2064205779","https://openalex.org/W1976182149","https://openalex.org/W2109996829","https://openalex.org/W125730541","https://openalex.org/W1996651511","https://openalex.org/W1828321299"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}