{"id":"https://openalex.org/W2154149035","doi":"https://doi.org/10.1080/00207160903193962","title":"Algorithm and software for defining the distribution of eigenvalues of random symmetric matrices via simulation","display_name":"Algorithm and software for defining the distribution of eigenvalues of random symmetric matrices via simulation","publication_year":2009,"publication_date":"2009-09-25","ids":{"openalex":"https://openalex.org/W2154149035","doi":"https://doi.org/10.1080/00207160903193962","mag":"2154149035"},"language":"en","primary_location":{"id":"doi:10.1080/00207160903193962","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160903193962","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5055223398","display_name":"Efraim Shmerling","orcid":null},"institutions":[{"id":"https://openalex.org/I52170813","display_name":"Ariel University","ror":"https://ror.org/03nz8qe97","country_code":"IL","type":"education","lineage":["https://openalex.org/I52170813"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"E. Shmerling","raw_affiliation_strings":["Department of Computer Science and Mathematics , Ariel University Center of Samaria , Science Park, Ariel, 44837, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Mathematics , Ariel University Center of Samaria , Science Park, Ariel, 44837, Israel","institution_ids":["https://openalex.org/I52170813"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055223398"],"corresponding_institution_ids":["https://openalex.org/I52170813"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17904868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"86","issue":"10-11","first_page":"1979","last_page":"1988"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.749224841594696},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7034991383552551},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.5532507300376892},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.5437352657318115},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.5337012410163879},{"id":"https://openalex.org/keywords/multivariate-random-variable","display_name":"Multivariate random variable","score":0.515026330947876},{"id":"https://openalex.org/keywords/symmetric-probability-distribution","display_name":"Symmetric probability distribution","score":0.5033997893333435},{"id":"https://openalex.org/keywords/random-function","display_name":"Random function","score":0.4851561188697815},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4809676706790924},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.479949027299881},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4688364565372467},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.42097824811935425},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.41896387934684753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35869038105010986},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3515699505805969},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18211707472801208},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07918652892112732}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.749224841594696},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7034991383552551},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.5532507300376892},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.5437352657318115},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.5337012410163879},{"id":"https://openalex.org/C138405894","wikidata":"https://www.wikidata.org/wiki/Q3179949","display_name":"Multivariate random variable","level":3,"score":0.515026330947876},{"id":"https://openalex.org/C72396439","wikidata":"https://www.wikidata.org/wiki/Q16000505","display_name":"Symmetric probability distribution","level":3,"score":0.5033997893333435},{"id":"https://openalex.org/C13929819","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Random function","level":3,"score":0.4851561188697815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4809676706790924},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.479949027299881},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4688364565372467},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.42097824811935425},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.41896387934684753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35869038105010986},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3515699505805969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18211707472801208},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07918652892112732},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160903193962","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160903193962","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1571466437","https://openalex.org/W2027777023","https://openalex.org/W2046351805","https://openalex.org/W2061109699","https://openalex.org/W2328187444","https://openalex.org/W3123337807"],"related_works":["https://openalex.org/W3037209726","https://openalex.org/W4240217719","https://openalex.org/W2122857041","https://openalex.org/W4378975458","https://openalex.org/W2744070027","https://openalex.org/W2269811875","https://openalex.org/W105835231","https://openalex.org/W2389966714","https://openalex.org/W8668301","https://openalex.org/W4378551343"],"abstract_inverted_index":{"A":[0],"simulation":[1],"algorithm":[2,27],"for":[3],"defining":[4],"the":[5,39,58],"distribution":[6],"of":[7,9,21,43],"eigenvalues":[8,42],"a":[10,30,36,44,50],"random":[11,32,46],"symmetric":[12,47],"matrix":[13,48],"with":[14],"arbitrary":[15],"continuous":[16],"joint":[17],"probability":[18,40],"density":[19],"function":[20],"its":[22],"entries":[23],"is":[24,53],"presented.":[25],"The":[26],"requires":[28],"only":[29],"uniform":[31],"number":[33],"generator.":[34],"As":[35],"numerical":[37],"example,":[38],"that":[41],"certain":[45],"satisfy":[49],"given":[51],"condition":[52],"calculated":[54],"using":[55],"software":[56],"implementing":[57],"algorithm.":[59]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}