{"id":"https://openalex.org/W3119043575","doi":"https://doi.org/10.1007/s10589-020-00246-3","title":"Using partial spectral information for block diagonal preconditioning of saddle-point systems","display_name":"Using partial spectral information for block diagonal preconditioning of saddle-point systems","publication_year":2021,"publication_date":"2021-01-04","ids":{"openalex":"https://openalex.org/W3119043575","doi":"https://doi.org/10.1007/s10589-020-00246-3","mag":"3119043575"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-020-00246-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-020-00246-3","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027568871","display_name":"Alison Ramage","orcid":"https://orcid.org/0000-0003-4709-0691"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alison Ramage","raw_affiliation_strings":["University of Strathclyde, Glasgow, Scotland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Strathclyde, Glasgow, Scotland","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106497787","display_name":"Daniel Ruiz","orcid":"https://orcid.org/0000-0002-3867-0179"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniel Ruiz","raw_affiliation_strings":["INPT - IRIT, Universit\u00e9 de Toulouse, 2, rue C. Camichel, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INPT - IRIT, Universit\u00e9 de Toulouse, 2, rue C. Camichel, Toulouse, France","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I205747304","https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106181985","display_name":"Annick Sartenaer","orcid":"https://orcid.org/0000-0003-4844-5239"},"institutions":[{"id":"https://openalex.org/I149768937","display_name":"University of Namur","ror":"https://ror.org/03d1maw17","country_code":"BE","type":"education","lineage":["https://openalex.org/I149768937"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Annick Sartenaer","raw_affiliation_strings":["Department of Mathematics and Namur Institute for Complex Systems (naXys), University of Namur, Namur, Belgium"],"raw_orcid":"https://orcid.org/0000-0003-4844-5239","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Namur Institute for Complex Systems (naXys), University of Namur, Namur, Belgium","institution_ids":["https://openalex.org/I149768937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005032225","display_name":"Charlotte Tannier","orcid":null},"institutions":[{"id":"https://openalex.org/I149768937","display_name":"University of Namur","ror":"https://ror.org/03d1maw17","country_code":"BE","type":"education","lineage":["https://openalex.org/I149768937"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Charlotte Tannier","raw_affiliation_strings":["Department of Mathematics and Namur Institute for Complex Systems (naXys), University of Namur, Namur, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Namur Institute for Complex Systems (naXys), University of Namur, Namur, Belgium","institution_ids":["https://openalex.org/I149768937"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5106181985"],"corresponding_institution_ids":["https://openalex.org/I149768937"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3045,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58703477,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"78","issue":"2","first_page":"353","last_page":"375"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983999729156494,"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":0.901347279548645},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8887013792991638},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.8690164089202881},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7786697149276733},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7532111406326294},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5462467670440674},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.5455668568611145},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5168788433074951},{"id":"https://openalex.org/keywords/orthogonal-complement","display_name":"Orthogonal complement","score":0.48658287525177},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48471617698669434},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.455747127532959},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.4450409710407257},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3231883645057678},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.3042592406272888},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.30127573013305664},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24705630540847778},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1849287748336792},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0875450074672699}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.901347279548645},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8887013792991638},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.8690164089202881},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7786697149276733},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7532111406326294},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5462467670440674},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.5455668568611145},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5168788433074951},{"id":"https://openalex.org/C154399039","wikidata":"https://www.wikidata.org/wiki/Q1780921","display_name":"Orthogonal complement","level":3,"score":0.48658287525177},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48471617698669434},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.455747127532959},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.4450409710407257},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3231883645057678},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.3042592406272888},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.30127573013305664},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24705630540847778},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1849287748336792},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0875450074672699},{"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":3,"locations":[{"id":"doi:10.1007/s10589-020-00246-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-020-00246-3","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:pure.unamur.be:openaire_cris_publications/fd883a52-fc24-44f1-8777-e85bab6846c2","is_oa":false,"landing_page_url":"https://researchportal.unamur.be/en/publications/fd883a52-fc24-44f1-8777-e85bab6846c2","pdf_url":null,"source":{"id":"https://openalex.org/S4406922457","display_name":"Repository of the University of Namur","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ramage, A, Ruiz, D, Sartenaer, A & Tannier, C 2021, 'Using partial spectral information for block diagonal preconditioning of saddle-point systems', Computational Optimization and Applications, vol. 78, no. 2, pp. 353-375. https://doi.org/10.1007/s10589-020-00246-3","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:spr:coopap:v:78:y:2021:i:2:d:10.1007_s10589-020-00246-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-020-00246-3","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":[{"id":"https://openalex.org/G2840746402","display_name":null,"funder_award_id":"ANR-11-MONU-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3979525718","display_name":null,"funder_award_id":"ANR-11-MONU-004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W307450651","https://openalex.org/W1981220107","https://openalex.org/W1985852691","https://openalex.org/W1997067479","https://openalex.org/W1999331305","https://openalex.org/W2010315317","https://openalex.org/W2011024864","https://openalex.org/W2022393370","https://openalex.org/W2022844944","https://openalex.org/W2022852340","https://openalex.org/W2028160813","https://openalex.org/W2035530669","https://openalex.org/W2048360198","https://openalex.org/W2050206349","https://openalex.org/W2061748118","https://openalex.org/W2075237894","https://openalex.org/W2078637543","https://openalex.org/W2092753238","https://openalex.org/W2115473986","https://openalex.org/W2126042051","https://openalex.org/W2133248904","https://openalex.org/W2136722618","https://openalex.org/W2141870784","https://openalex.org/W2798909945","https://openalex.org/W2802886200","https://openalex.org/W4231405723","https://openalex.org/W4285719527","https://openalex.org/W4302564868"],"related_works":["https://openalex.org/W4380758601","https://openalex.org/W2276348900","https://openalex.org/W2996930644","https://openalex.org/W4302771086","https://openalex.org/W2090624634","https://openalex.org/W2589912672","https://openalex.org/W4283769168","https://openalex.org/W2794692133","https://openalex.org/W3119043575","https://openalex.org/W2004529037"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}