{"id":"https://openalex.org/W2010403822","doi":"https://doi.org/10.1007/s11155-006-4875-1","title":"Outer Interval Solution of the Eigenvalue Problem under General Form Parametric Dependencies","display_name":"Outer Interval Solution of the Eigenvalue Problem under General Form Parametric Dependencies","publication_year":2005,"publication_date":"2005-12-07","ids":{"openalex":"https://openalex.org/W2010403822","doi":"https://doi.org/10.1007/s11155-006-4875-1","mag":"2010403822"},"language":"en","primary_location":{"id":"doi:10.1007/s11155-006-4875-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11155-006-4875-1","pdf_url":null,"source":{"id":"https://openalex.org/S64721560","display_name":"Reliable Computing","issn_l":"1385-3139","issn":["1385-3139","1573-1340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliable 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/A5000281370","display_name":"Lubomir V. Kolev","orcid":null},"institutions":[{"id":"https://openalex.org/I31151848","display_name":"Technical University of Sofia","ror":"https://ror.org/052prhs50","country_code":"BG","type":"education","lineage":["https://openalex.org/I31151848"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Lubomir V. Kolev","raw_affiliation_strings":["Department of Theoretical Electrotechnics, Faculty of Automatica, Technical University of Sofia, 1756, Sofia, Bulgaria","Dept. of Theoretical Electrotechnics, Faculty of Automatica, Technical University of Sofia, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Electrotechnics, Faculty of Automatica, Technical University of Sofia, 1756, Sofia, Bulgaria","institution_ids":["https://openalex.org/I31151848"]},{"raw_affiliation_string":"Dept. of Theoretical Electrotechnics, Faculty of Automatica, Technical University of Sofia, Sofia, Bulgaria","institution_ids":["https://openalex.org/I31151848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000281370"],"corresponding_institution_ids":["https://openalex.org/I31151848"],"apc_list":null,"apc_paid":null,"fwci":0.958,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.75974581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"12","issue":"2","first_page":"121","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9941999912261963,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.849444568157196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.783013641834259},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6657285690307617},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5942838788032532},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47725436091423035},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.47454890608787537},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4524369239807129},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42266055941581726},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41903793811798096},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4067275822162628},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35003119707107544},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3324778079986572},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32482829689979553},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1317867636680603},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0724295973777771}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.849444568157196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.783013641834259},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6657285690307617},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5942838788032532},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47725436091423035},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.47454890608787537},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4524369239807129},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42266055941581726},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41903793811798096},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4067275822162628},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35003119707107544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3324778079986572},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32482829689979553},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1317867636680603},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0724295973777771},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11155-006-4875-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11155-006-4875-1","pdf_url":null,"source":{"id":"https://openalex.org/S64721560","display_name":"Reliable Computing","issn_l":"1385-3139","issn":["1385-3139","1573-1340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliable Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W149757499","https://openalex.org/W161468530","https://openalex.org/W178772886","https://openalex.org/W636107755","https://openalex.org/W1494163043","https://openalex.org/W1497910784","https://openalex.org/W1535242494","https://openalex.org/W1966236704","https://openalex.org/W1976316721","https://openalex.org/W1982847377","https://openalex.org/W1983821881","https://openalex.org/W2035749585","https://openalex.org/W2060924166","https://openalex.org/W2094231719","https://openalex.org/W2101857378","https://openalex.org/W6600197281","https://openalex.org/W6825066237"],"related_works":["https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W2066926363","https://openalex.org/W2354159744","https://openalex.org/W4385774772","https://openalex.org/W3174066586","https://openalex.org/W2350063940","https://openalex.org/W1581927719","https://openalex.org/W2806037598","https://openalex.org/W4230021819"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}