{"id":"https://openalex.org/W2089903545","doi":"https://doi.org/10.1007/s10107990063a","title":"Some characterizations and properties of the \u201cdistance to ill-posedness\u201d and the condition measure of a conic linear system","display_name":"Some characterizations and properties of the \u201cdistance to ill-posedness\u201d and the condition measure of a conic linear system","publication_year":1999,"publication_date":"1999-11-01","ids":{"openalex":"https://openalex.org/W2089903545","doi":"https://doi.org/10.1007/s10107990063a","mag":"2089903545"},"language":"en","primary_location":{"id":"doi:10.1007/s10107990063a","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107990063a","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":"http://hdl.handle.net/1721.1/5297","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101429270","display_name":"Robert M. Freund","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert M. Freund","raw_affiliation_strings":["MIT O.R. Center, 77 Massachusetts Ave., Cambridge, MA 02139, USA,\u00b6 e-mail: rfreund@mit.edu, , , , , , US","MIT O.R. Center, 77 Massachusetts Ave., Cambridge, MA 02139, USA,\u00b6 e-mail: rfreund@mit.edu, , US"],"affiliations":[{"raw_affiliation_string":"MIT O.R. Center, 77 Massachusetts Ave., Cambridge, MA 02139, USA,\u00b6 e-mail: rfreund@mit.edu, , , , , , US","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"MIT O.R. Center, 77 Massachusetts Ave., Cambridge, MA 02139, USA,\u00b6 e-mail: rfreund@mit.edu, , US","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087608867","display_name":"Jorge Vera","orcid":"https://orcid.org/0000-0002-6246-333X"},"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"]},{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Jorge R. Vera","raw_affiliation_strings":["Department of Industrial and System Engineering, Catholic University of Chile, Campus San Joaqu\u00edn, Vicu\u00f1a Mackenna 4860, Santiago, Chile, e-mail: jvera@ing.puc.cl, , , , , , CL","Department of Industrial and System Engineering, Catholic University of Chile, Campus San Joaqu\u00edn, Vicu\u00f1a Mackenna 4860, Santiago, Chile, e-mail: jvera@ing.puc.cl, , CL"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and System Engineering, Catholic University of Chile, Campus San Joaqu\u00edn, Vicu\u00f1a Mackenna 4860, Santiago, Chile, e-mail: jvera@ing.puc.cl, , , , , , CL","institution_ids":["https://openalex.org/I162148367"]},{"raw_affiliation_string":"Department of Industrial and System Engineering, Catholic University of Chile, Campus San Joaqu\u00edn, Vicu\u00f1a Mackenna 4860, Santiago, Chile, e-mail: jvera@ing.puc.cl, , CL","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101429270"],"corresponding_institution_ids":["https://openalex.org/I4210110987","https://openalex.org/I63966007"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":11.6284,"has_fulltext":false,"cited_by_count":103,"citation_normalized_percentile":{"value":0.98974359,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"86","issue":"2","first_page":"225","last_page":"260"},"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":0.995199978351593,"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":0.9947999715805054,"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":0.8443256616592407},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7642822265625},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.7376276254653931},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5106931328773499},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4827263057231903},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47232741117477417},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4622722566127777},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.44946861267089844},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4443702697753906},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.436713308095932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3648146986961365},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3482441306114197},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.314920037984848},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15149414539337158}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8443256616592407},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7642822265625},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.7376276254653931},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5106931328773499},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4827263057231903},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47232741117477417},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4622722566127777},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.44946861267089844},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4443702697753906},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.436713308095932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3648146986961365},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3482441306114197},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.314920037984848},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15149414539337158},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107990063a","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107990063a","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:dspace.mit.edu:1721.1/5297","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/5297","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Working Paper"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/5297","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/5297","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Working Paper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1503519917","https://openalex.org/W1632601927","https://openalex.org/W1963753244","https://openalex.org/W1987898022","https://openalex.org/W1993223591","https://openalex.org/W1994229647","https://openalex.org/W2002728800","https://openalex.org/W2018592952","https://openalex.org/W2039868808","https://openalex.org/W2045419427","https://openalex.org/W2049390837","https://openalex.org/W2065114871","https://openalex.org/W2071846104","https://openalex.org/W2116580225","https://openalex.org/W2147302101","https://openalex.org/W2610857016","https://openalex.org/W2787523326"],"related_works":["https://openalex.org/W4226374413","https://openalex.org/W2089697610","https://openalex.org/W2090979013","https://openalex.org/W2012314757","https://openalex.org/W2037032801","https://openalex.org/W2528333032","https://openalex.org/W2030889936","https://openalex.org/W1587026720","https://openalex.org/W2910133962","https://openalex.org/W4210327724"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}