{"id":"https://openalex.org/W1970509387","doi":"https://doi.org/10.1137/03060179x","title":"Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces","display_name":"Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1970509387","doi":"https://doi.org/10.1137/03060179x","mag":"1970509387"},"language":"en","primary_location":{"id":"doi:10.1137/03060179x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/03060179x","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/A5056391377","display_name":"Xi Yin Zheng","orcid":"https://orcid.org/0000-0002-5314-6471"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Xi Yin Zheng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014862456","display_name":"Kung Fu Ng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kung Fu Ng","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056391377"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.09428944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"4","first_page":"1026","last_page":"1041"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.998199999332428,"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":0.998199999332428,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9923999905586243,"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/conic-section","display_name":"Conic section","score":0.9446830153465271},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8459373712539673},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.7214040756225586},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6127720475196838},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.47525450587272644},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4570401608943939},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41369619965553284},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3931879699230194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27764183282852173},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08161798119544983}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.9446830153465271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8459373712539673},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.7214040756225586},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6127720475196838},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.47525450587272644},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4570401608943939},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41369619965553284},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3931879699230194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27764183282852173},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08161798119544983},{"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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/03060179x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/03060179x","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":0.6700000166893005,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W99853481","https://openalex.org/W580914039","https://openalex.org/W1551360398","https://openalex.org/W1601741115","https://openalex.org/W1964995199","https://openalex.org/W1983485346","https://openalex.org/W1991607307","https://openalex.org/W2009062909","https://openalex.org/W2020708563","https://openalex.org/W2022083862","https://openalex.org/W2036159573","https://openalex.org/W2037937559","https://openalex.org/W2039711078","https://openalex.org/W2041781190","https://openalex.org/W2061907550","https://openalex.org/W2075272819","https://openalex.org/W2082451773","https://openalex.org/W2101292089","https://openalex.org/W2116598569","https://openalex.org/W2157652431","https://openalex.org/W2334285086","https://openalex.org/W4238179324","https://openalex.org/W4240533965","https://openalex.org/W4245290017","https://openalex.org/W4249667877","https://openalex.org/W4300079171"],"related_works":["https://openalex.org/W4300566153","https://openalex.org/W2795378890","https://openalex.org/W2804689728","https://openalex.org/W2946724620","https://openalex.org/W2012685253","https://openalex.org/W2037437483","https://openalex.org/W3100053256","https://openalex.org/W2373292822","https://openalex.org/W2377924059","https://openalex.org/W3017139193"],"abstract_inverted_index":{"For":[0],"a":[1,19,38],"general":[2],"(constrained":[3],"or":[4],"unconstrained)":[5],"system":[6],"of":[7,18,25,51,56],"conic":[8,57],"inequalities,":[9],"we":[10,42],"provide":[11],"sufficient":[12],"conditions":[13],"to":[14],"ensure":[15],"the":[16,26,30,34,49],"existence":[17,50],"common":[20],"error":[21,52],"bound":[22],"for":[23,54],"each":[24],"systems":[27,55],"obtained":[28],"from":[29],"original":[31],"one":[32],"when":[33],"given":[35],"data":[36],"undergoes":[37],"small":[39],"perturbation.":[40],"Moreover,":[41],"also":[43],"give":[44],"some":[45],"dual":[46],"characterizations":[47],"on":[48],"bounds":[53],"inequalities.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}