{"id":"https://openalex.org/W1926953565","doi":"https://doi.org/10.1007/978-3-642-01970-8_47","title":"Non-splitting Tridiagonalization of Complex Symmetric Matrices","display_name":"Non-splitting Tridiagonalization of Complex Symmetric Matrices","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1926953565","doi":"https://doi.org/10.1007/978-3-642-01970-8_47","mag":"1926953565"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-01970-8_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-01970-8_47","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021065276","display_name":"Wilfried N. Gansterer","orcid":"https://orcid.org/0000-0001-5170-1251"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W. N. Gansterer","raw_affiliation_strings":["Research Lab Computational Technologies and Applications, University of Vienna, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Lab Computational Technologies and Applications, University of Vienna, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046060796","display_name":"Andreas Gruber","orcid":"https://orcid.org/0000-0003-1219-4239"},"institutions":[{"id":"https://openalex.org/I4210145836","display_name":"Center for Theoretical Biological Physics","ror":"https://ror.org/04hfg7v94","country_code":"US","type":"facility","lineage":["https://openalex.org/I12912129","https://openalex.org/I181547552","https://openalex.org/I2801539370","https://openalex.org/I4210145836","https://openalex.org/I44461941","https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. R. Gruber","raw_affiliation_strings":["Institute for Theoretical Chemistry, University of Vienna, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Chemistry, University of Vienna, USA","institution_ids":["https://openalex.org/I4210145836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053069305","display_name":"Christoph Pacher","orcid":"https://orcid.org/0000-0003-4174-659X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. Pacher","raw_affiliation_strings":["Department of Safety & Security, Austrian Research Centers GmbH-ARC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Safety & Security, Austrian Research Centers GmbH-ARC, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"481","last_page":"490"},"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/T10299","display_name":"Photonic and Optical Devices","score":0.9828000068664551,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/hermitian-matrix","display_name":"Hermitian matrix","score":0.7063146829605103},{"id":"https://openalex.org/keywords/fortran","display_name":"Fortran","score":0.6915813684463501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6778543591499329},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.6396389007568359},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.49023133516311646},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4501325488090515},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.41472360491752625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38498011231422424},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3342016339302063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.184345543384552},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1146719753742218},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10291683673858643},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08152309060096741},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0742659866809845},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06359899044036865}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.7063146829605103},{"id":"https://openalex.org/C2778241615","wikidata":"https://www.wikidata.org/wiki/Q83303","display_name":"Fortran","level":2,"score":0.6915813684463501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6778543591499329},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6396389007568359},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.49023133516311646},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4501325488090515},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.41472360491752625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38498011231422424},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3342016339302063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.184345543384552},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1146719753742218},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10291683673858643},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08152309060096741},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0742659866809845},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06359899044036865},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-01970-8_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-01970-8_47","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W94439627","https://openalex.org/W391578156","https://openalex.org/W1480928214","https://openalex.org/W1522512418","https://openalex.org/W1588783887","https://openalex.org/W1798403110","https://openalex.org/W1965366611","https://openalex.org/W1968185752","https://openalex.org/W1977795090","https://openalex.org/W1980357388","https://openalex.org/W1986758046","https://openalex.org/W2002257715","https://openalex.org/W2006384005","https://openalex.org/W2009031688","https://openalex.org/W2013530086","https://openalex.org/W2029116634","https://openalex.org/W2032789092","https://openalex.org/W2079379042","https://openalex.org/W2087806673","https://openalex.org/W2102841161","https://openalex.org/W2109098465","https://openalex.org/W2610857016","https://openalex.org/W2890534020","https://openalex.org/W3129468932","https://openalex.org/W4205585823","https://openalex.org/W4229666556","https://openalex.org/W4231150350","https://openalex.org/W4248809150"],"related_works":["https://openalex.org/W2066731161","https://openalex.org/W1986195078","https://openalex.org/W1974990957","https://openalex.org/W4250743593","https://openalex.org/W3207676257","https://openalex.org/W2954591190","https://openalex.org/W2184638702","https://openalex.org/W2042257757","https://openalex.org/W3099782216","https://openalex.org/W1982559344"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}