{"id":"https://openalex.org/W3207665535","doi":"https://doi.org/10.1007/s11075-021-01214-6","title":"Calculating a function of a matrix with a real spectrum","display_name":"Calculating a function of a matrix with a real spectrum","publication_year":2021,"publication_date":"2021-10-09","ids":{"openalex":"https://openalex.org/W3207665535","doi":"https://doi.org/10.1007/s11075-021-01214-6","mag":"3207665535"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-021-01214-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01214-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5074776505","display_name":"Petr Kubel\u00edk","orcid":"https://orcid.org/0000-0002-8498-6668"},"institutions":[{"id":"https://openalex.org/I4210127897","display_name":"Czech Academy of Sciences, J. Heyrovsk\u00fd Institute of Physical Chemistry","ror":"https://ror.org/02sat5y74","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210127897"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"P. Kubel\u00edk","raw_affiliation_strings":["J. Heyrovsk\u00fd Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Dolej\u0161kova 3, 18223, Prague 8, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"J. Heyrovsk\u00fd Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Dolej\u0161kova 3, 18223, Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210127897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081023153","display_name":"V. G. Kurbatov","orcid":"https://orcid.org/0000-0001-7715-3804"},"institutions":[{"id":"https://openalex.org/I71305448","display_name":"Voronezh State University","ror":"https://ror.org/0543j5e78","country_code":"RU","type":"education","lineage":["https://openalex.org/I71305448"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"V. G. Kurbatov","raw_affiliation_strings":["Department of System Analysis and Control, Voronezh State University 1, Universitetskaya Square, Voronezh, 394018,, Russia"],"raw_orcid":"https://orcid.org/0000-0001-7715-3804","affiliations":[{"raw_affiliation_string":"Department of System Analysis and Control, Voronezh State University 1, Universitetskaya Square, Voronezh, 394018,, Russia","institution_ids":["https://openalex.org/I71305448"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051553502","display_name":"Irina V. Kurbatova","orcid":"https://orcid.org/0000-0003-3152-4862"},"institutions":[{"id":"https://openalex.org/I71305448","display_name":"Voronezh State University","ror":"https://ror.org/0543j5e78","country_code":"RU","type":"education","lineage":["https://openalex.org/I71305448"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I. V. Kurbatova","raw_affiliation_strings":["Department of Software Development and Information Systems Administration, Voronezh State University 1, Universitetskaya Square, Voronezh, 394018,, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Software Development and Information Systems Administration, Voronezh State University 1, Universitetskaya Square, Voronezh, 394018,, Russia","institution_ids":["https://openalex.org/I71305448"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081023153"],"corresponding_institution_ids":["https://openalex.org/I71305448"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.1321,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51428089,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"90","issue":"3","first_page":"905","last_page":"930"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9951000213623047,"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":0.9835000038146973,"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/mathematics","display_name":"Mathematics","score":0.8244660496711731},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.6760890483856201},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.613717794418335},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5691210627555847},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.5638529062271118},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5041354894638062},{"id":"https://openalex.org/keywords/decimal","display_name":"Decimal","score":0.484336256980896},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4755249321460724},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4560418725013733},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4430621862411499},{"id":"https://openalex.org/keywords/main-diagonal","display_name":"Main diagonal","score":0.44166243076324463},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4387626647949219},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.43539953231811523},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4231216311454773},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41884732246398926},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.4136894941329956},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2765401601791382},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2719244658946991},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2613790035247803},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.17147308588027954},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12399616837501526},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10536909103393555},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.07051178812980652}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8244660496711731},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.6760890483856201},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.613717794418335},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5691210627555847},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5638529062271118},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5041354894638062},{"id":"https://openalex.org/C65045869","wikidata":"https://www.wikidata.org/wiki/Q81365","display_name":"Decimal","level":2,"score":0.484336256980896},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4755249321460724},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4560418725013733},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4430621862411499},{"id":"https://openalex.org/C60761296","wikidata":"https://www.wikidata.org/wiki/Q651480","display_name":"Main diagonal","level":3,"score":0.44166243076324463},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4387626647949219},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.43539953231811523},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4231216311454773},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41884732246398926},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.4136894941329956},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2765401601791382},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2719244658946991},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2613790035247803},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.17147308588027954},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12399616837501526},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10536909103393555},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.07051178812980652},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-021-01214-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01214-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":56,"referenced_works":["https://openalex.org/W208376040","https://openalex.org/W579600426","https://openalex.org/W1483804921","https://openalex.org/W1535044683","https://openalex.org/W1575791353","https://openalex.org/W1976955562","https://openalex.org/W1980819474","https://openalex.org/W1983407330","https://openalex.org/W1990796266","https://openalex.org/W1992731239","https://openalex.org/W1999410953","https://openalex.org/W2000537011","https://openalex.org/W2001744739","https://openalex.org/W2003124459","https://openalex.org/W2013339349","https://openalex.org/W2019472688","https://openalex.org/W2020804487","https://openalex.org/W2025246398","https://openalex.org/W2036341424","https://openalex.org/W2051297414","https://openalex.org/W2054979047","https://openalex.org/W2055580199","https://openalex.org/W2067136705","https://openalex.org/W2076234777","https://openalex.org/W2078757996","https://openalex.org/W2082465767","https://openalex.org/W2086619045","https://openalex.org/W2091782510","https://openalex.org/W2101196233","https://openalex.org/W2105903657","https://openalex.org/W2106565812","https://openalex.org/W2106713925","https://openalex.org/W2112145895","https://openalex.org/W2126101825","https://openalex.org/W2160829115","https://openalex.org/W2568753013","https://openalex.org/W2616975313","https://openalex.org/W2770483357","https://openalex.org/W2787172707","https://openalex.org/W2798909945","https://openalex.org/W2810840768","https://openalex.org/W2963610002","https://openalex.org/W2993076031","https://openalex.org/W2996527832","https://openalex.org/W2998400753","https://openalex.org/W3010782316","https://openalex.org/W3022909171","https://openalex.org/W3039061035","https://openalex.org/W3096575045","https://openalex.org/W3145991194","https://openalex.org/W3184199163","https://openalex.org/W4229811791","https://openalex.org/W4242639924","https://openalex.org/W4247037605","https://openalex.org/W4312258136","https://openalex.org/W6600577036"],"related_works":["https://openalex.org/W2033688211","https://openalex.org/W4230141039","https://openalex.org/W2051936539","https://openalex.org/W3184093895","https://openalex.org/W1996268937","https://openalex.org/W2024363590","https://openalex.org/W2969146409","https://openalex.org/W2097164874","https://openalex.org/W2030092602","https://openalex.org/W2640311855"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
