{"id":"https://openalex.org/W1548154618","doi":"https://doi.org/10.1007/bf02238095","title":"On the numerical solution of nonlinear eigenvalue problems","display_name":"On the numerical solution of nonlinear eigenvalue problems","publication_year":1995,"publication_date":"1995-06-01","ids":{"openalex":"https://openalex.org/W1548154618","doi":"https://doi.org/10.1007/bf02238095","mag":"1548154618"},"language":"en","primary_location":{"id":"doi:10.1007/bf02238095","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02238095","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5029985184","display_name":"Alan Andrew","orcid":"https://orcid.org/0000-0002-4865-5562"},"institutions":[{"id":"https://openalex.org/I196829312","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27","country_code":"AU","type":"education","lineage":["https://openalex.org/I196829312"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"A. L. Andrew","raw_affiliation_strings":["Department of Mathematics, La Trobe University, 3083, Bundoora, Victoria, Australia","Department of Mathematics , La Trobe University , Bundoora , Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, La Trobe University, 3083, Bundoora, Victoria, Australia","institution_ids":["https://openalex.org/I196829312"]},{"raw_affiliation_string":"Department of Mathematics , La Trobe University , Bundoora , Australia","institution_ids":["https://openalex.org/I196829312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006045473","display_name":"Eric King\u2010wah Chu","orcid":"https://orcid.org/0000-0001-7217-5422"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"E. K. Chu","raw_affiliation_strings":["Department of Mathematics, Monash University, 3168, Clayton, Victoria, Australia","Dept. of Mathematics, Monash University, Clayton, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Monash University, 3168, Clayton, Victoria, Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"Dept. of Mathematics, Monash University, Clayton, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012007500","display_name":"Peter Lancaster","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P. Lancaster","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Calgary, T2N 1N4, Calgary, Alberta, Canada","Department of Mathematics and Statistics University of Calgary Calgary, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Calgary, T2N 1N4, Calgary, Alberta, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Department of Mathematics and Statistics University of Calgary Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029985184"],"corresponding_institution_ids":["https://openalex.org/I196829312"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.6842,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.88652689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"55","issue":"2","first_page":"91","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory 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/T10792","display_name":"Matrix Theory 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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9990000128746033,"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":0.992900013923645,"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":0.8755991458892822},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7260738611221313},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.7011502385139465},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6794608235359192},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.5323982834815979},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5148733854293823},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48344478011131287},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09153273701667786}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8755991458892822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7260738611221313},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.7011502385139465},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6794608235359192},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.5323982834815979},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5148733854293823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48344478011131287},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09153273701667786},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02238095","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02238095","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W128913233","https://openalex.org/W272539284","https://openalex.org/W1573717114","https://openalex.org/W1965210108","https://openalex.org/W1966246274","https://openalex.org/W2013737143","https://openalex.org/W2015275354","https://openalex.org/W2029854885","https://openalex.org/W2031313862","https://openalex.org/W2033721499","https://openalex.org/W2049460408","https://openalex.org/W2074073711","https://openalex.org/W2076950429","https://openalex.org/W2077332562","https://openalex.org/W2079238988","https://openalex.org/W2094292626","https://openalex.org/W2122046615","https://openalex.org/W2139263439","https://openalex.org/W2140715711","https://openalex.org/W2141470953","https://openalex.org/W2798909945","https://openalex.org/W3014765026","https://openalex.org/W3022136271"],"related_works":["https://openalex.org/W46293795","https://openalex.org/W2350895707","https://openalex.org/W2014626854","https://openalex.org/W2963566796","https://openalex.org/W2383221329","https://openalex.org/W2364889976","https://openalex.org/W4285722889","https://openalex.org/W2040482695","https://openalex.org/W2776155623","https://openalex.org/W2369274133"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}