{"id":"https://openalex.org/W2022723352","doi":"https://doi.org/10.1007/s00211-011-0392-1","title":"Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems","display_name":"Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems","publication_year":2011,"publication_date":"2011-07-09","ids":{"openalex":"https://openalex.org/W2022723352","doi":"https://doi.org/10.1007/s00211-011-0392-1","mag":"2022723352"},"language":"de","primary_location":{"id":"doi:10.1007/s00211-011-0392-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-011-0392-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/165601","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110164030","display_name":"Wolf\u2010J\u00fcrgen Beyn","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolf-J\u00fcrgen Beyn","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501, Bielefeld, Germany","Universit\u00e4t Bielefeld, Fakult\u00e4t f\u00fcr Mathematik, Postfach 100131, 33501 Bielefeld, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501, Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]},{"raw_affiliation_string":"Universit\u00e4t Bielefeld, Fakult\u00e4t f\u00fcr Mathematik, Postfach 100131, 33501 Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059910863","display_name":"Cedric Effenberger","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Cedric Effenberger","raw_affiliation_strings":["Seminar for Applied Mathematics, D-MATH, ETH Zurich, Raemistrasse 101, 8092, Zurich, Switzerland","D-MATH, ETH Zurich, Seminar for Applied Mathematics, Raemistrasse 101, 8092, Zurich, Switzerland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Seminar for Applied Mathematics, D-MATH, ETH Zurich, Raemistrasse 101, 8092, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"D-MATH, ETH Zurich, Seminar for Applied Mathematics, Raemistrasse 101, 8092, Zurich, Switzerland#TAB#","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084601962","display_name":"Daniel Kre\u00dfner","orcid":"https://orcid.org/0000-0003-3369-2958"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Daniel Kressner","raw_affiliation_strings":["MATHICSE, EPF Lausanne, Station 8, 1015, Lausanne, Switzerland","MATHICSE, EPF Lausanne, Station 8, 1015, Lausanne, Switzerland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MATHICSE, EPF Lausanne, Station 8, 1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"MATHICSE, EPF Lausanne, Station 8, 1015, Lausanne, Switzerland#TAB#","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084601962"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.6708,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.89850447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"119","issue":"3","first_page":"489","last_page":"516"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9848999977111816,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9735999703407288,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8760952949523926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8182224035263062},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.7082439064979553},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6345185041427612},{"id":"https://openalex.org/keywords/eigenvalue-perturbation","display_name":"Eigenvalue perturbation","score":0.6172348260879517},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6003386974334717},{"id":"https://openalex.org/keywords/numerical-continuation","display_name":"Numerical continuation","score":0.5840708017349243},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5583434700965881},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5116148591041565},{"id":"https://openalex.org/keywords/spectrum-of-a-matrix","display_name":"Spectrum of a matrix","score":0.5064736604690552},{"id":"https://openalex.org/keywords/analytic-continuation","display_name":"Analytic continuation","score":0.4565434455871582},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4388347566127777},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4147014021873474},{"id":"https://openalex.org/keywords/matrix-differential-equation","display_name":"Matrix differential equation","score":0.3789464831352234},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13680240511894226},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.12302884459495544},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.05680820345878601}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8760952949523926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8182224035263062},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7082439064979553},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6345185041427612},{"id":"https://openalex.org/C46865736","wikidata":"https://www.wikidata.org/wiki/Q5348914","display_name":"Eigenvalue perturbation","level":3,"score":0.6172348260879517},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6003386974334717},{"id":"https://openalex.org/C2775978667","wikidata":"https://www.wikidata.org/wiki/Q7069654","display_name":"Numerical continuation","level":4,"score":0.5840708017349243},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5583434700965881},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5116148591041565},{"id":"https://openalex.org/C28940832","wikidata":"https://www.wikidata.org/wiki/Q3490774","display_name":"Spectrum of a matrix","level":4,"score":0.5064736604690552},{"id":"https://openalex.org/C151602998","wikidata":"https://www.wikidata.org/wiki/Q485287","display_name":"Analytic continuation","level":2,"score":0.4565434455871582},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4388347566127777},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4147014021873474},{"id":"https://openalex.org/C105671362","wikidata":"https://www.wikidata.org/wiki/Q6787870","display_name":"Matrix differential equation","level":3,"score":0.3789464831352234},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13680240511894226},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.12302884459495544},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.05680820345878601},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"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}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s00211-011-0392-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-011-0392-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:doc.rero.ch:318466","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:infoscience.epfl.ch:165601","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/165601","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.epfl.ch:173379","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/173379","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:173379","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/76196","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"},{"id":"pmh:oai:pub.uni-bielefeld.de:2454800","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/2454800","pdf_url":null,"source":{"id":"https://openalex.org/S4306401671","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Beyn W-J, Effenberger C, Kressner D. Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems. <em>Numerische Mathematik</em>. 2011;119(3):489-516.","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/41946","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/41946","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 119 (3)","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.3929/ethz-b-000041946","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000041946","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Other"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:165601","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/165601","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W171922849","https://openalex.org/W593634829","https://openalex.org/W1483804921","https://openalex.org/W1530314303","https://openalex.org/W1544922403","https://openalex.org/W1581306515","https://openalex.org/W1592141884","https://openalex.org/W1605753492","https://openalex.org/W1963833004","https://openalex.org/W1974370014","https://openalex.org/W1988406503","https://openalex.org/W1998006824","https://openalex.org/W2002233832","https://openalex.org/W2002862998","https://openalex.org/W2003693652","https://openalex.org/W2004138877","https://openalex.org/W2006107419","https://openalex.org/W2028194144","https://openalex.org/W2029662995","https://openalex.org/W2036189700","https://openalex.org/W2055529145","https://openalex.org/W2088810629","https://openalex.org/W2129035706","https://openalex.org/W2132328229","https://openalex.org/W2150827037","https://openalex.org/W2159707849","https://openalex.org/W2186590998","https://openalex.org/W2251143978","https://openalex.org/W2476506091","https://openalex.org/W2525143841","https://openalex.org/W2794482890","https://openalex.org/W2798813531","https://openalex.org/W2799664482","https://openalex.org/W2905382927","https://openalex.org/W3168404227"],"related_works":["https://openalex.org/W2478378501","https://openalex.org/W3022668387","https://openalex.org/W2364353629","https://openalex.org/W330769287","https://openalex.org/W2497112068","https://openalex.org/W4251966336","https://openalex.org/W1987168303","https://openalex.org/W2083927768","https://openalex.org/W2128035913","https://openalex.org/W2077030276"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}