{"id":"https://openalex.org/W1600637693","doi":"https://doi.org/10.1007/978-3-540-24709-8_98","title":"On Computing the Spectral Decomposition of Symmetric Arrowhead Matrices","display_name":"On Computing the Spectral Decomposition of Symmetric Arrowhead Matrices","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1600637693","doi":"https://doi.org/10.1007/978-3-540-24709-8_98","mag":"1600637693"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24709-8_98","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24709-8_98","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":"book-chapter","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/A5038317749","display_name":"Fasma Diele","orcid":"https://orcid.org/0000-0002-4846-2795"},"institutions":[{"id":"https://openalex.org/I4210106125","display_name":"Istituto per le Applicazioni del Calcolo Mauro Picone","ror":"https://ror.org/00ygy3d85","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Fasma Diele","raw_affiliation_strings":["Istituto per le Applicazoni del Calcolo \u201dM. Picone\u201d, sez. Bari, via Amendola 122/D, I-70126, Bari, Italy","Istituto per le Applicazoni del Calcolo \u201dM. Picone\u201d, sez. Bari"],"affiliations":[{"raw_affiliation_string":"Istituto per le Applicazoni del Calcolo \u201dM. Picone\u201d, sez. Bari, via Amendola 122/D, I-70126, Bari, Italy","institution_ids":["https://openalex.org/I4210106125"]},{"raw_affiliation_string":"Istituto per le Applicazoni del Calcolo \u201dM. Picone\u201d, sez. Bari","institution_ids":["https://openalex.org/I4210106125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036811999","display_name":"Nicola Mastronardi","orcid":"https://orcid.org/0000-0002-0045-2862"},"institutions":[{"id":"https://openalex.org/I4210106125","display_name":"Istituto per le Applicazioni del Calcolo Mauro Picone","ror":"https://ror.org/00ygy3d85","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nicola Mastronardi","raw_affiliation_strings":["Istituto per le Applicazoni del Calcolo \u201dM. Picone\u201d, sez. Bari, via Amendola 122/D, I-70126, Bari, Italy","Istituto per le Applicazoni del Calcolo \u201dM. Picone\u201d, sez. Bari"],"affiliations":[{"raw_affiliation_string":"Istituto per le Applicazoni del Calcolo \u201dM. Picone\u201d, sez. Bari, via Amendola 122/D, I-70126, Bari, Italy","institution_ids":["https://openalex.org/I4210106125"]},{"raw_affiliation_string":"Istituto per le Applicazoni del Calcolo \u201dM. Picone\u201d, sez. Bari","institution_ids":["https://openalex.org/I4210106125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052654029","display_name":"Marc Van Barel","orcid":"https://orcid.org/0000-0002-7372-382X"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Marc Van Barel","raw_affiliation_strings":["Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","Katholieke Universiteit \u00adLeuven"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Katholieke Universiteit \u00adLeuven","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113574303","display_name":"Ellen Van Camp","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Ellen Van Camp","raw_affiliation_strings":["Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","Katholieke Universiteit \u00adLeuven"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Katholieke Universiteit \u00adLeuven","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038317749"],"corresponding_institution_ids":["https://openalex.org/I4210106125"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.14819137,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"932","last_page":"941"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9887999892234802,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9815000295639038,"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":0.7042649984359741},{"id":"https://openalex.org/keywords/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.6458284854888916},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.6259843707084656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5442457795143127},{"id":"https://openalex.org/keywords/schur-decomposition","display_name":"Schur decomposition","score":0.5139884352684021},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4866545796394348},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47347700595855713},{"id":"https://openalex.org/keywords/diagonalizable-matrix","display_name":"Diagonalizable matrix","score":0.41884616017341614},{"id":"https://openalex.org/keywords/centrosymmetric-matrix","display_name":"Centrosymmetric matrix","score":0.4146636724472046},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.41304290294647217},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.38889065384864807},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3790326714515686},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35577839612960815},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2800835967063904},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.22728893160820007},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.1324990689754486},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10299569368362427}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7042649984359741},{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.6458284854888916},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.6259843707084656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5442457795143127},{"id":"https://openalex.org/C99383703","wikidata":"https://www.wikidata.org/wiki/Q1064218","display_name":"Schur decomposition","level":4,"score":0.5139884352684021},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4866545796394348},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47347700595855713},{"id":"https://openalex.org/C30072841","wikidata":"https://www.wikidata.org/wiki/Q1767080","display_name":"Diagonalizable matrix","level":4,"score":0.41884616017341614},{"id":"https://openalex.org/C111653193","wikidata":"https://www.wikidata.org/wiki/Q2598955","display_name":"Centrosymmetric matrix","level":5,"score":0.4146636724472046},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.41304290294647217},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.38889065384864807},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3790326714515686},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35577839612960815},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2800835967063904},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.22728893160820007},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.1324990689754486},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10299569368362427},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-24709-8_98","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24709-8_98","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1034080277","https://openalex.org/W2006399983","https://openalex.org/W2017641901","https://openalex.org/W2023663671","https://openalex.org/W2029837479","https://openalex.org/W2058221770","https://openalex.org/W2072396164","https://openalex.org/W2078929648","https://openalex.org/W2105433369","https://openalex.org/W2132718937"],"related_works":["https://openalex.org/W2963186551","https://openalex.org/W2094010568","https://openalex.org/W2076228455","https://openalex.org/W2067610413","https://openalex.org/W4287101747","https://openalex.org/W4293998845","https://openalex.org/W4248016122","https://openalex.org/W2949670824","https://openalex.org/W2111529108","https://openalex.org/W2041405663"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
