{"id":"https://openalex.org/W2036170323","doi":"https://doi.org/10.1007/s10107-005-0613-4","title":"Perturbation analysis of second-order cone programming problems","display_name":"Perturbation analysis of second-order cone programming problems","publication_year":2005,"publication_date":"2005-07-14","ids":{"openalex":"https://openalex.org/W2036170323","doi":"https://doi.org/10.1007/s10107-005-0613-4","mag":"2036170323"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-005-0613-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0613-4","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://inria.hal.science/inria-00070707","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076843972","display_name":"J. Fr\u00e9d\u00e9ric Bonnans","orcid":"https://orcid.org/0000-0003-0988-9865"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J. Fr\u00e9d\u00e9ric Bonnans","raw_affiliation_strings":["Projet Sydoco, INRIA Rocquencourt, B.P. 105, Le Chesnay, France","Projet Sydoco, INRIA Rocquencourt, B.P. 105, Le Chesnay, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Projet Sydoco, INRIA Rocquencourt, B.P. 105, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Projet Sydoco, INRIA Rocquencourt, B.P. 105, Le Chesnay, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009030975","display_name":"H\u00e9ctor Ram\u00edrez","orcid":"https://orcid.org/0000-0002-6239-1890"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"H\u00e9ctor Ram\u00edrez C.","raw_affiliation_strings":["Department of Mathematical Engineering, Universidad de Chile & Centre for Mathematical Modelling, UMR 2071, Universidad de Chile-CNRS. Casilla 170-3 Santiago 3, Chile&INRIA, Rocquencourt","Department of Mathematical Engineering, Universidad de Chile & Centre for Mathematical Modelling, UMR 2071, Universidad de Chile-CNRS. Casilla 170-3 Santiago 3, Chile&INRIA, B.P. 105, Le Chesnay, ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, Universidad de Chile & Centre for Mathematical Modelling, UMR 2071, Universidad de Chile-CNRS. Casilla 170-3 Santiago 3, Chile&INRIA, Rocquencourt","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Department of Mathematical Engineering, Universidad de Chile & Centre for Mathematical Modelling, UMR 2071, Universidad de Chile-CNRS. Casilla 170-3 Santiago 3, Chile&INRIA, B.P. 105, Le Chesnay, ...#TAB#","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076843972"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.7428,"has_fulltext":false,"cited_by_count":156,"citation_normalized_percentile":{"value":0.95627376,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"104","issue":"2-3","first_page":"205","last_page":"227"},"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":0.9994000196456909,"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/conic-section","display_name":"Conic section","score":0.8089665174484253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7951533794403076},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.626398503780365},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.6122204661369324},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5876045823097229},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.5853370428085327},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5620837807655334},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5159338116645813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5031172633171082},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4817362129688263},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4806165099143982},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4596720337867737},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43022167682647705},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38151973485946655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19466722011566162},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17399677634239197},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.13469210267066956},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09065902233123779},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.06018182635307312}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.8089665174484253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7951533794403076},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.626398503780365},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.6122204661369324},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5876045823097229},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.5853370428085327},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5620837807655334},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5159338116645813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5031172633171082},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4817362129688263},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4806165099143982},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4596720337867737},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43022167682647705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38151973485946655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19466722011566162},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17399677634239197},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.13469210267066956},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09065902233123779},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.06018182635307312},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"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":4,"locations":[{"id":"doi:10.1007/s10107-005-0613-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0613-4","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:CiteSeerX.psu:10.1.1.109.8071","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.109.8071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.optimization-online.org/DB_FILE/2004/09/956.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00070707v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00070707","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-5293, INRIA. 2004, pp.23","raw_type":"Reports"},{"id":"pmh:oai:repositorio.uchile.cl:2250/124564","is_oa":false,"landing_page_url":"http://repositorio.uchile.cl/handle/2250/124564","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Art\u00edculo de revista"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00070707v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00070707","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-5293, INRIA. 2004, pp.23","raw_type":"Reports"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W111413457","https://openalex.org/W572922989","https://openalex.org/W1522222833","https://openalex.org/W1601741115","https://openalex.org/W1971066663","https://openalex.org/W1986468691","https://openalex.org/W1988098844","https://openalex.org/W1993647205","https://openalex.org/W2009923109","https://openalex.org/W2022853838","https://openalex.org/W2030521062","https://openalex.org/W2041037772","https://openalex.org/W2055506505","https://openalex.org/W2105235982","https://openalex.org/W2495457432","https://openalex.org/W2912522929","https://openalex.org/W3203127690","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2169279714","https://openalex.org/W4232508221","https://openalex.org/W2941716933","https://openalex.org/W4231773446","https://openalex.org/W3174981835","https://openalex.org/W2124038748","https://openalex.org/W3030201206","https://openalex.org/W4301659259","https://openalex.org/W3126525620","https://openalex.org/W2771160919"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}