{"id":"https://openalex.org/W2002278783","doi":"https://doi.org/10.1145/1067967.1067973","title":"Algorithm 845","display_name":"Algorithm 845","publication_year":2005,"publication_date":"2005-06-01","ids":{"openalex":"https://openalex.org/W2002278783","doi":"https://doi.org/10.1145/1067967.1067973","mag":"2002278783"},"language":"en","primary_location":{"id":"doi:10.1145/1067967.1067973","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1067967.1067973","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","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/A5050117772","display_name":"James H. Money","orcid":null},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James H. Money","raw_affiliation_strings":["University of Kentucky, Lexington, KY"],"affiliations":[{"raw_affiliation_string":"University of Kentucky, Lexington, KY","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100417961","display_name":"Qiang Ye","orcid":"https://orcid.org/0000-0002-8357-221X"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Ye","raw_affiliation_strings":["University of Kentucky, Lexington, KY"],"affiliations":[{"raw_affiliation_string":"University of Kentucky, Lexington, KY","institution_ids":["https://openalex.org/I143302722"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050117772"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":null,"apc_paid":null,"fwci":1.4054,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.80434564,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"31","issue":"2","first_page":"270","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory 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/T10792","display_name":"Matrix Theory 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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.8172824382781982},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.72508704662323},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.6827422976493835},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5848689079284668},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5693955421447754},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5309495329856873},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48473140597343445},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4266638159751892},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4163057506084442},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40257400274276733},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.2542501389980316},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06003507971763611}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8172824382781982},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.72508704662323},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.6827422976493835},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5848689079284668},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5693955421447754},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5309495329856873},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48473140597343445},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4266638159751892},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4163057506084442},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40257400274276733},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2542501389980316},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06003507971763611},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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:10.1145/1067967.1067973","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1067967.1067973","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","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":16,"referenced_works":["https://openalex.org/W1506690472","https://openalex.org/W1522512418","https://openalex.org/W1563653928","https://openalex.org/W1988464212","https://openalex.org/W2037034729","https://openalex.org/W2051142108","https://openalex.org/W2051637182","https://openalex.org/W2059586807","https://openalex.org/W2060488365","https://openalex.org/W2086160340","https://openalex.org/W2142184851","https://openalex.org/W2147542748","https://openalex.org/W2350991510","https://openalex.org/W2798909945","https://openalex.org/W4230094279","https://openalex.org/W6705553805"],"related_works":["https://openalex.org/W2798286561","https://openalex.org/W3161880765","https://openalex.org/W1537831955","https://openalex.org/W1980381208","https://openalex.org/W2106635645","https://openalex.org/W2942315554","https://openalex.org/W3134028852","https://openalex.org/W2323113259","https://openalex.org/W1637798125","https://openalex.org/W2367926634"],"abstract_inverted_index":{"eigifp":[0],"is":[1,26,63,75],"a":[2,7,27],"MATLAB":[3],"program":[4],"for":[5,66],"computing":[6],"few":[8],"extreme":[9],"eigenvalues":[10],"and":[11,42],"eigenvectors":[12],"of":[13,30],"the":[14,71],"large":[15],"symmetric":[16],"generalized":[17],"eigenvalue":[18],"problem":[19],"Ax":[20],"=":[21],"\u03bb":[22],"Bx":[23],".":[24],"It":[25,45,62],"black-box":[28],"implementation":[29],"an":[31],"inverse":[32],"free":[33],"preconditioned":[34],"Krylov":[35],"subspace":[36],"projection":[37],"method":[38],"developed":[39],"by":[40,70],"Golub":[41],"Ye":[43],"[2002].":[44],"has":[46],"important":[47],"features":[48],"that":[49],"allow":[50],"it":[51],"to":[52],"solve":[53],"some":[54],"difficult":[55],"problems":[56,67],"without":[57],"any":[58],"input":[59],"from":[60],"users.":[61],"particularly":[64],"suitable":[65],"where":[68],"preconditioning":[69],"standard":[72],"shift-and-invert":[73],"transformation":[74],"not":[76],"feasible.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}