{"id":"https://openalex.org/W1492546475","doi":"https://doi.org/10.1007/bf02684401","title":"Discrete least-squares technique for eigenvalues. Part I: The one-dimensional case","display_name":"Discrete least-squares technique for eigenvalues. Part I: The one-dimensional case","publication_year":1997,"publication_date":"1997-03-01","ids":{"openalex":"https://openalex.org/W1492546475","doi":"https://doi.org/10.1007/bf02684401","mag":"1492546475"},"language":"en","primary_location":{"id":"doi:10.1007/bf02684401","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02684401","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"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/A5023224455","display_name":"P. \u017dit\u0148an","orcid":null},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I147747303","display_name":"Institute of Chemistry of the Slovak Academy of Sciences","ror":"https://ror.org/02te3c603","country_code":"SK","type":"facility","lineage":["https://openalex.org/I147747303","https://openalex.org/I207624831"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"P. \u017dit\u0148an","raw_affiliation_strings":["Computing Centre, Slovak Academy of Sciences, D\u00fabravsk\u00e1 cesta 9, Sk-842 35, Bratislava, Slovak Republic","Computing Centre, Slovak Academy of Sciences, Bratislava, Slovak Republic"],"affiliations":[{"raw_affiliation_string":"Computing Centre, Slovak Academy of Sciences, D\u00fabravsk\u00e1 cesta 9, Sk-842 35, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I147747303"]},{"raw_affiliation_string":"Computing Centre, Slovak Academy of Sciences, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023224455"],"corresponding_institution_ids":["https://openalex.org/I147747303","https://openalex.org/I207624831"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06670949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"1","first_page":"17","last_page":"27"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8531851768493652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.788779616355896},{"id":"https://openalex.org/keywords/matrix-differential-equation","display_name":"Matrix differential equation","score":0.576146125793457},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5520687699317932},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49605855345726013},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4766303300857544},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.47329726815223694},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.46086204051971436},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44911208748817444},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.429899126291275},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11786562204360962}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8531851768493652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.788779616355896},{"id":"https://openalex.org/C105671362","wikidata":"https://www.wikidata.org/wiki/Q6787870","display_name":"Matrix differential equation","level":3,"score":0.576146125793457},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5520687699317932},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49605855345726013},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4766303300857544},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.47329726815223694},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.46086204051971436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44911208748817444},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.429899126291275},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11786562204360962},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02684401","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02684401","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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":41,"referenced_works":["https://openalex.org/W117911757","https://openalex.org/W240029891","https://openalex.org/W322378860","https://openalex.org/W1548154618","https://openalex.org/W1605604088","https://openalex.org/W1968306701","https://openalex.org/W1972354568","https://openalex.org/W1983570689","https://openalex.org/W1992202176","https://openalex.org/W2001224147","https://openalex.org/W2011254698","https://openalex.org/W2016667319","https://openalex.org/W2023903607","https://openalex.org/W2027841035","https://openalex.org/W2029348943","https://openalex.org/W2032468262","https://openalex.org/W2036638109","https://openalex.org/W2041747672","https://openalex.org/W2043108839","https://openalex.org/W2044736104","https://openalex.org/W2047878422","https://openalex.org/W2050029949","https://openalex.org/W2050776732","https://openalex.org/W2051857135","https://openalex.org/W2055990716","https://openalex.org/W2067265108","https://openalex.org/W2069403372","https://openalex.org/W2076229781","https://openalex.org/W2078481482","https://openalex.org/W2085351451","https://openalex.org/W2087834403","https://openalex.org/W2090808851","https://openalex.org/W2092558777","https://openalex.org/W2127071550","https://openalex.org/W2168187826","https://openalex.org/W2408478130","https://openalex.org/W3115050390","https://openalex.org/W4229944309","https://openalex.org/W4240584680","https://openalex.org/W4298060601","https://openalex.org/W4299976037"],"related_works":["https://openalex.org/W4377200779","https://openalex.org/W2092103935","https://openalex.org/W2008790914","https://openalex.org/W4251736684","https://openalex.org/W2089626626","https://openalex.org/W1990533894","https://openalex.org/W2038754956","https://openalex.org/W2117499033","https://openalex.org/W2128035913","https://openalex.org/W2955282717"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}