{"id":"https://openalex.org/W2016714849","doi":"https://doi.org/10.1007/s10589-007-9039-7","title":"Some iterative methods for the solution of a symmetric indefinite KKT system","display_name":"Some iterative methods for the solution of a symmetric indefinite KKT system","publication_year":2007,"publication_date":"2007-05-17","ids":{"openalex":"https://openalex.org/W2016714849","doi":"https://doi.org/10.1007/s10589-007-9039-7","mag":"2016714849"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-007-9039-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9039-7","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11380/1148159","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005747047","display_name":"Silvia Bonettini","orcid":"https://orcid.org/0000-0003-2936-365X"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Silvia Bonettini","raw_affiliation_strings":["Dipartimento di Matematica Pura ed Applicata, Universit\u00e0 di Modena e Reggio Emilia, via Campi 213/b, 41100, Modena, Italy","Dipartimento di Matematica Pura ed Applicata, Universit\u00e0 di Modena e Reggio Emilia, Modena, Italy 41100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Pura ed Applicata, Universit\u00e0 di Modena e Reggio Emilia, via Campi 213/b, 41100, Modena, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Dipartimento di Matematica Pura ed Applicata, Universit\u00e0 di Modena e Reggio Emilia, Modena, Italy 41100#TAB#","institution_ids":["https://openalex.org/I122346577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078259795","display_name":"Valeria Ruggiero","orcid":"https://orcid.org/0000-0001-5885-1703"},"institutions":[{"id":"https://openalex.org/I201324441","display_name":"University of Ferrara","ror":"https://ror.org/041zkgm14","country_code":"IT","type":"education","lineage":["https://openalex.org/I201324441"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valeria Ruggiero","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Ferrara, via Machiavelli 35, 44100, Ferrara, Italy","Dipartimento di Matematica, Universit\u00e0 di Ferrara, Ferrara, Italy 44100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Ferrara, via Machiavelli 35, 44100, Ferrara, Italy","institution_ids":["https://openalex.org/I201324441"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Ferrara, Ferrara, Italy 44100#TAB#","institution_ids":["https://openalex.org/I201324441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005747047"],"corresponding_institution_ids":["https://openalex.org/I122346577"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0516,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90170441,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"38","issue":"1","first_page":"3","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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":0.9986000061035156,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9973999857902527,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.8878321051597595},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.793730616569519},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7794626951217651},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7402167320251465},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5541099905967712},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5354796648025513},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5197684168815613},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5116298794746399},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.43313339352607727},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4110873341560364},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3677486777305603},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16958561539649963}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.8878321051597595},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.793730616569519},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7794626951217651},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7402167320251465},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5541099905967712},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5354796648025513},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5197684168815613},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5116298794746399},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.43313339352607727},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4110873341560364},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3677486777305603},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16958561539649963},{"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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10589-007-9039-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9039-7","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:CiteSeerX.psu:10.1.1.542.1811","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.542.1811","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dm.unife.it/blkfclt/BonettiniRuggiero2004.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.544.179","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.544.179","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.unife.it/utenti/valeria.ruggiero/personale/lavori/bonettini_ruggiero.pdf","raw_type":"text"},{"id":"pmh:oai:iris.unife.it:11392/499085","is_oa":false,"landing_page_url":"http://hdl.handle.net/11392/499085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400369","display_name":"Institutional Research Information System University of Ferrara (University of Ferrara)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201324441","host_organization_name":"University of Ferrara","host_organization_lineage":["https://openalex.org/I201324441"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unimore.it:11380/1148159","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/1148159","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/1148159","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/1148159","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W55017993","https://openalex.org/W1498003557","https://openalex.org/W1506342804","https://openalex.org/W1508335918","https://openalex.org/W1526625726","https://openalex.org/W1971536112","https://openalex.org/W1995393679","https://openalex.org/W2020008079","https://openalex.org/W2049219350","https://openalex.org/W2057404142","https://openalex.org/W2059273886","https://openalex.org/W2075998338","https://openalex.org/W2083431695","https://openalex.org/W2101501830","https://openalex.org/W2106353864","https://openalex.org/W2118431207","https://openalex.org/W2120124838","https://openalex.org/W2130860812","https://openalex.org/W2146126565","https://openalex.org/W2162057287","https://openalex.org/W2165375569","https://openalex.org/W2168253786","https://openalex.org/W2266946488","https://openalex.org/W2480165797","https://openalex.org/W3029645440","https://openalex.org/W4251302297","https://openalex.org/W4291236916","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W4244338775","https://openalex.org/W4299713359","https://openalex.org/W2035372690","https://openalex.org/W2963941240","https://openalex.org/W2486286901","https://openalex.org/W2169913650","https://openalex.org/W2051721398","https://openalex.org/W2363989901","https://openalex.org/W2153271882","https://openalex.org/W3065284018"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-08T15:41:06.802602","created_date":"2025-10-10T00:00:00"}