{"id":"https://openalex.org/W1594782801","doi":"https://doi.org/10.1007/s10898-009-9403-5","title":"On optimal zero-preserving corrections for inconsistent linear systems","display_name":"On optimal zero-preserving corrections for inconsistent linear systems","publication_year":2009,"publication_date":"2009-02-10","ids":{"openalex":"https://openalex.org/W1594782801","doi":"https://doi.org/10.1007/s10898-009-9403-5","mag":"1594782801"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-009-9403-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-009-9403-5","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global 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/A5091723931","display_name":"Paula Amaral","orcid":"https://orcid.org/0000-0002-0563-3443"},"institutions":[{"id":"https://openalex.org/I83558840","display_name":"Universidade Nova de Lisboa","ror":"https://ror.org/02xankh89","country_code":"PT","type":"education","lineage":["https://openalex.org/I83558840"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Paula Amaral","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Nova de Lisboa, Monte da Caparica, Portugal","Departamento de Matem\u00e1tica, Universidade Nova de Lisboa, Monte da Caparica, Portugal#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Nova de Lisboa, Monte da Caparica, Portugal","institution_ids":["https://openalex.org/I83558840"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Nova de Lisboa, Monte da Caparica, Portugal#TAB#","institution_ids":["https://openalex.org/I83558840"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057585042","display_name":"Lu\u00eds M. Fernandes","orcid":"https://orcid.org/0000-0002-4792-9410"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I4210126619","display_name":"Instituto Polit\u00e9cnico de Tomar","ror":"https://ror.org/03gsfpp62","country_code":"PT","type":"education","lineage":["https://openalex.org/I4210126619"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX","PT"],"is_corresponding":false,"raw_author_name":"Lu\u00eds M. Fernandes","raw_affiliation_strings":["Instituto Polit\u00e9cnico de Tomar and Instituto Telecomunica\u00e7\u00f5es, Coimbra, Portugal","Instituto Polit\u00e9cnico de Tomar and Instituto Telecomunica\u00e7\u00f5es, Coimbra, Portugal#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico de Tomar and Instituto Telecomunica\u00e7\u00f5es, Coimbra, Portugal","institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I4210126619"]},{"raw_affiliation_string":"Instituto Polit\u00e9cnico de Tomar and Instituto Telecomunica\u00e7\u00f5es, Coimbra, Portugal#TAB#","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066766041","display_name":"Joaqu\u00edm J. J\u00fadice","orcid":"https://orcid.org/0000-0001-9441-4877"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Joaquim J\u00fadice","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade de Coimbra and Instituto Telecomunica\u00e7\u00f5es, Coimbra, Portugal","Departamento de Matem\u00e1tica, Universidade de Coimbra and Instituto Telecomunica\u00e7\u00f5es, Coimbra, Portugal#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade de Coimbra and Instituto Telecomunica\u00e7\u00f5es, Coimbra, Portugal","institution_ids":["https://openalex.org/I4210120471","https://openalex.org/I76903346"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade de Coimbra and Instituto Telecomunica\u00e7\u00f5es, Coimbra, Portugal#TAB#","institution_ids":["https://openalex.org/I76903346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043357545","display_name":"Hanif D. Sherali","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hanif D. Sherali","raw_affiliation_strings":["Grado Department of Industrial & Systems Engineering, Virginia Polytechnic Institute & State University, Blacksburg, VA, USA","Grado Department of Industrial and Systems Engineering Virginia Polytechnic Institute and State University  Blacksburg USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grado Department of Industrial & Systems Engineering, Virginia Polytechnic Institute & State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Grado Department of Industrial and Systems Engineering Virginia Polytechnic Institute and State University  Blacksburg USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5091723931"],"corresponding_institution_ids":["https://openalex.org/I83558840"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05813724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"4","first_page":"645","last_page":"666"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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":0.9958999752998352,"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/T11236","display_name":"Control Systems and Identification","score":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8548871278762817},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5865193605422974},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5549109578132629},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5344910025596619},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5291260480880737},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5110610723495483},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5086108446121216},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.49711111187934875},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.47646522521972656},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4307384192943573},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40906772017478943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14024490118026733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10249307751655579},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07768216729164124}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8548871278762817},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5865193605422974},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5549109578132629},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5344910025596619},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5291260480880737},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5110610723495483},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5086108446121216},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.49711111187934875},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.47646522521972656},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4307384192943573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40906772017478943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14024490118026733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10249307751655579},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07768216729164124},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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":4,"locations":[{"id":"doi:10.1007/s10898-009-9403-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-009-9403-5","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"mag:1594782801","is_oa":false,"landing_page_url":"https://EconPapers.repec.org/RePEc:spr:coopap:v:45:y:2009:i:4:p:645-666","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Optimization and Applications","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.529.927","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.529.927","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.co.it.pt/~judice/Articles/Amaral_Judice_Sherali_Merca.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:coopap:v:45:y:2009:i:4:p:645-666","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-009-9403-5","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":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W31167091","https://openalex.org/W1544222811","https://openalex.org/W1971044761","https://openalex.org/W1974247695","https://openalex.org/W1981066696","https://openalex.org/W1988971579","https://openalex.org/W1989709869","https://openalex.org/W1993223591","https://openalex.org/W1993943649","https://openalex.org/W2016808364","https://openalex.org/W2019634434","https://openalex.org/W2022660500","https://openalex.org/W2023761583","https://openalex.org/W2030364272","https://openalex.org/W2049083558","https://openalex.org/W2063190731","https://openalex.org/W2063434077","https://openalex.org/W2065114871","https://openalex.org/W2065229701","https://openalex.org/W2075965580","https://openalex.org/W2098968017","https://openalex.org/W2099237408","https://openalex.org/W2113730096","https://openalex.org/W2152416449","https://openalex.org/W2160089068","https://openalex.org/W2165559311","https://openalex.org/W4212864101","https://openalex.org/W4234534407","https://openalex.org/W4292175028"],"related_works":["https://openalex.org/W2129479713","https://openalex.org/W3037832398","https://openalex.org/W2051668769","https://openalex.org/W2076050055","https://openalex.org/W2974586822","https://openalex.org/W3096485153","https://openalex.org/W2057523182","https://openalex.org/W2046465845","https://openalex.org/W2053602249","https://openalex.org/W2893020293","https://openalex.org/W2766237657","https://openalex.org/W3155122604","https://openalex.org/W2028313726","https://openalex.org/W2515086530","https://openalex.org/W1976294619","https://openalex.org/W1968511016","https://openalex.org/W2910084247","https://openalex.org/W1519675499","https://openalex.org/W2004099540","https://openalex.org/W2349603136"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}