{"id":"https://openalex.org/W2337446964","doi":"https://doi.org/10.1007/s00211-016-0805-2","title":"The ADI method for bounded real and positive real Lur\u2019e equations","display_name":"The ADI method for bounded real and positive real Lur\u2019e equations","publication_year":2016,"publication_date":"2016-04-29","ids":{"openalex":"https://openalex.org/W2337446964","doi":"https://doi.org/10.1007/s00211-016-0805-2","mag":"2337446964"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-016-0805-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0805-2","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"],"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/A5019071234","display_name":"Arash Massoudi","orcid":null},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Arash Massoudi","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Hamburg, Bundesstra\u00dfe 55, 20146, Hamburg, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Hamburg, Bundesstra\u00dfe 55, 20146, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087379411","display_name":"Mark R. Opmeer","orcid":"https://orcid.org/0009-0006-0569-0129"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mark R. Opmeer","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, BA2 7AY, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027602749","display_name":"Timo Reis","orcid":"https://orcid.org/0000-0003-0721-8494"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Timo Reis","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Hamburg, Bundesstra\u00dfe 55, 20146, Hamburg, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Hamburg, Bundesstra\u00dfe 55, 20146, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019071234"],"corresponding_institution_ids":["https://openalex.org/I159176309"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8928,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.75008636,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"135","issue":"2","first_page":"431","last_page":"458"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.883501410484314},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7011950016021729},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6528749465942383},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.6506285667419434},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5822205543518066},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4838051199913025},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47348344326019287},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46252378821372986},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44957032799720764},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.43458691239356995},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.42562782764434814},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4242708086967468},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25975558161735535},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1732061207294464},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09821003675460815},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07670354843139648}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.883501410484314},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7011950016021729},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6528749465942383},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.6506285667419434},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5822205543518066},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4838051199913025},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47348344326019287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46252378821372986},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44957032799720764},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.43458691239356995},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.42562782764434814},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4242708086967468},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25975558161735535},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1732061207294464},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09821003675460815},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07670354843139648},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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":3,"locations":[{"id":"doi:10.1007/s00211-016-0805-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0805-2","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:opus.bath.ac.uk:49935","is_oa":false,"landing_page_url":"http://opus.bath.ac.uk/49935/1/preprint.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401631","display_name":"The University of Bath Online Publications Store (The University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Articles"},{"id":"pmh:oai:purehost.bath.ac.uk:publications/eaa72c7e-2b79-491f-abbf-55518f7fcda3","is_oa":false,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/eaa72c7e-2b79-491f-abbf-55518f7fcda3","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W23244454","https://openalex.org/W1509296830","https://openalex.org/W1539689348","https://openalex.org/W1545626707","https://openalex.org/W1563653928","https://openalex.org/W1607896190","https://openalex.org/W1964400575","https://openalex.org/W1965623622","https://openalex.org/W1981745143","https://openalex.org/W1984577430","https://openalex.org/W1992913239","https://openalex.org/W2001773339","https://openalex.org/W2002357820","https://openalex.org/W2026282191","https://openalex.org/W2065313971","https://openalex.org/W2066059560","https://openalex.org/W2076467525","https://openalex.org/W2088777761","https://openalex.org/W2092273264","https://openalex.org/W2095477585","https://openalex.org/W2097660079","https://openalex.org/W2115608213","https://openalex.org/W2119836152","https://openalex.org/W2128978199","https://openalex.org/W2137362177","https://openalex.org/W2142621163","https://openalex.org/W2154407829","https://openalex.org/W2169328438","https://openalex.org/W2279588114","https://openalex.org/W2337963862","https://openalex.org/W2429035891","https://openalex.org/W2597851983","https://openalex.org/W2798909945","https://openalex.org/W3195133498","https://openalex.org/W4292399988"],"related_works":["https://openalex.org/W2369793817","https://openalex.org/W2364489971","https://openalex.org/W2361979571","https://openalex.org/W4205226845","https://openalex.org/W3208377712","https://openalex.org/W2043819621","https://openalex.org/W2373372131","https://openalex.org/W2147922812","https://openalex.org/W2063005030","https://openalex.org/W1982955687"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}