{"id":"https://openalex.org/W2779137247","doi":"https://doi.org/10.1007/978-3-319-72453-9_6","title":"Efficient Certification of Numeric Solutions to\u00a0Eigenproblems","display_name":"Efficient Certification of Numeric Solutions to\u00a0Eigenproblems","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2779137247","doi":"https://doi.org/10.1007/978-3-319-72453-9_6","mag":"2779137247"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-72453-9_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-72453-9_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01579079v1/file/certeigen-hal.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001033788","display_name":"Joris van der Hoeven","orcid":"https://orcid.org/0000-0003-2244-1897"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Joris van der Hoeven","raw_affiliation_strings":["Laboratoire d\u2019informatique, UMR 7161 CNRS, Campus de l\u2019\u00c9cole polytechnique 1, rue Honor\u00e9 d\u2019Estienne d\u2019Orves B\u00e2timent Alan Turing, CS35003, 91120, Palaiseau, France","Laboratoire d\u2019informatique, UMR 7161 CNRS, Palaiseau, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019informatique, UMR 7161 CNRS, Campus de l\u2019\u00c9cole polytechnique 1, rue Honor\u00e9 d\u2019Estienne d\u2019Orves B\u00e2timent Alan Turing, CS35003, 91120, Palaiseau, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210139461"]},{"raw_affiliation_string":"Laboratoire d\u2019informatique, UMR 7161 CNRS, Palaiseau, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210139461"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003683965","display_name":"Bernard Mourrain","orcid":"https://orcid.org/0000-0002-8813-1368"},"institutions":[{"id":"https://openalex.org/I4210106545","display_name":"Centre Inria d'Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernard Mourrain","raw_affiliation_strings":["Inria Sophia Antipolis M\u00e9diterran\u00e9e, AROMATH, 2004 route des Lucioles, 06902, Sophia Antipolis, France","Inria Sophia Antipolis M\u00e9diterran\u00e9e, AROMATH, Sophia Antipolis, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria Sophia Antipolis M\u00e9diterran\u00e9e, AROMATH, 2004 route des Lucioles, 06902, Sophia Antipolis, France","institution_ids":["https://openalex.org/I4210106545"]},{"raw_affiliation_string":"Inria Sophia Antipolis M\u00e9diterran\u00e9e, AROMATH, Sophia Antipolis, France","institution_ids":["https://openalex.org/I4210106545"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5001033788"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210139461"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"81","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9934999942779541,"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/certification","display_name":"Certification","score":0.8228660821914673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7482771873474121},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6966671347618103},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5927847027778625},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5648548007011414},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4557487666606903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37495988607406616},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35350751876831055},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3208470940589905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22070950269699097},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15801265835762024},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07378607988357544}],"concepts":[{"id":"https://openalex.org/C46304622","wikidata":"https://www.wikidata.org/wiki/Q374814","display_name":"Certification","level":2,"score":0.8228660821914673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7482771873474121},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6966671347618103},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5927847027778625},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5648548007011414},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4557487666606903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37495988607406616},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35350751876831055},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3208470940589905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22070950269699097},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15801265835762024},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07378607988357544},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-72453-9_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-72453-9_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01579079v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01579079","pdf_url":"https://hal.science/hal-01579079v1/file/certeigen-hal.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MACIS 2017 - 7th International Conference on Mathematical Aspects of Computer and Information Sciences, Nov 2017, Vienna, Austria. pp.81--94, &#x27E8;10.1007/978-3-319-72453-9_6&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:HAL:hal-02350517v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02350517","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Aspects of Computer and Information Sciences, pp.81-94, 2017, &#x27E8;10.1007/978-3-319-72453-9_6&#x27E9;","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01579079v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01579079","pdf_url":"https://hal.science/hal-01579079v1/file/certeigen-hal.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MACIS 2017 - 7th International Conference on Mathematical Aspects of Computer and Information Sciences, Nov 2017, Vienna, Austria. pp.81--94, &#x27E8;10.1007/978-3-319-72453-9_6&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2779137247.pdf","grobid_xml":"https://content.openalex.org/works/W2779137247.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W178772886","https://openalex.org/W1483874187","https://openalex.org/W1494163043","https://openalex.org/W1506162491","https://openalex.org/W1507872748","https://openalex.org/W1550331971","https://openalex.org/W1754110195","https://openalex.org/W1965749137","https://openalex.org/W1975721804","https://openalex.org/W1975956496","https://openalex.org/W2072500636","https://openalex.org/W2120248756","https://openalex.org/W2135960888","https://openalex.org/W2151930024","https://openalex.org/W2168526415","https://openalex.org/W2207021687","https://openalex.org/W2483775066","https://openalex.org/W2594368247","https://openalex.org/W2768477013","https://openalex.org/W2798909945","https://openalex.org/W4298255709","https://openalex.org/W4301168154","https://openalex.org/W6742592995"],"related_works":["https://openalex.org/W2066052364","https://openalex.org/W2023743128","https://openalex.org/W4243365217","https://openalex.org/W2224296908","https://openalex.org/W3109981693","https://openalex.org/W2381980429","https://openalex.org/W2384206113","https://openalex.org/W645983410","https://openalex.org/W2401692867","https://openalex.org/W2057053421"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
