{"id":"https://openalex.org/W2395375407","doi":"https://doi.org/10.3233/978-1-60750-530-3-133","title":"A Parallel Implementation of the Davidson Method for Generalized Eigenproblems","display_name":"A Parallel Implementation of the Davidson Method for Generalized Eigenproblems","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2395375407","doi":"https://doi.org/10.3233/978-1-60750-530-3-133","mag":"2395375407"},"language":"en","primary_location":{"id":"doi:10.3233/978-1-60750-530-3-133","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-60750-530-3-133","pdf_url":null,"source":{"id":"https://openalex.org/S4210175178","display_name":"Advances in parallel computing","issn_l":"0927-5452","issn":["0927-5452","1879-808X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Parallel Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5034254380","display_name":"Eloy Romero","orcid":"https://orcid.org/0000-0001-7279-1305"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Romero Eloy","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Val\u00e8ncia, Valencia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Val\u00e8ncia, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032159763","display_name":"Jos\u00e9 E. Rom\u00e1n","orcid":"https://orcid.org/0000-0003-1144-6772"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Roman Jose E.","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Val\u00e8ncia, Valencia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Val\u00e8ncia, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I60053951"],"apc_list":null,"apc_paid":null,"fwci":0.3694,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65109772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9965000152587891,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9955000281333923,"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/computer-science","display_name":"Computer science","score":0.431356817483902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4015883505344391},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.34793251752853394},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3231865167617798},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19064658880233765}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.431356817483902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4015883505344391},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.34793251752853394},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3231865167617798},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19064658880233765}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/978-1-60750-530-3-133","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-60750-530-3-133","pdf_url":null,"source":{"id":"https://openalex.org/S4210175178","display_name":"Advances in parallel computing","issn_l":"0927-5452","issn":["0927-5452","1879-808X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Parallel Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W90568776","https://openalex.org/W1522512418","https://openalex.org/W1970149876","https://openalex.org/W1988464212","https://openalex.org/W2009596258","https://openalex.org/W2011655084","https://openalex.org/W2024364296","https://openalex.org/W2038451362","https://openalex.org/W2086666883","https://openalex.org/W2112480689"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"We":[0,50],"present":[1],"a":[2],"parallel":[3,73],"implementation":[4,20],"of":[5,13,26,44,72],"the":[6,10,24,28,41,45,52],"Davidson":[7],"method":[8],"for":[9,31],"numerical":[11],"solution":[12],"large-scale,":[14],"sparse,":[15],"generalized":[16],"eigenvalue":[17],"problems.":[18],"The":[19],"is":[21],"done":[22],"in":[23,67,70],"context":[25],"SLEPc,":[27,68],"Scalable":[29],"Library":[30],"Eigenvalue":[32],"Problem":[33],"Computations.":[34],"In":[35],"this":[36],"work,":[37],"we":[38],"focus":[39],"on":[40],"Hermitian":[42],"version":[43],"method,":[46],"with":[47,55,62],"several":[48],"optimizations.":[49],"compare":[51],"developed":[53],"solver":[54],"other":[56],"available":[57,66],"implementations,":[58],"as":[59,61],"well":[60],"Krylov-type":[63],"eigensolvers":[64],"already":[65],"particularly":[69],"terms":[71],"efficiency.":[74]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}